Keep on keepin' on...
I now want to turn to momentum, velocity and the speed of light.
A useful metaphore may not be perfect, but it should help one to visualize many properties of a system. Our slice-time worm metaphore has allowed us to perceive a 4D universe and how time can be expressed as a space dimension, which lead to visualizing time travel... not bad! There are many things about our existance that do not have very good explanations, so our attempts to visualize them do not really leave us any worse off then we were at the beginning! Like gravity, momentum is exactly such a phenomanon. We have been able to describe the properties of momentum for a long time, but what "causes" it? Why should something at rest tend to stay at rest and something in motion tend to stay in motion?
Lets see how our Worm motif can help us visualize momentum. Remember when we talked about fixed points in the future and how we can be predestined without limiting us in the present? Well, you will need to exercise that thought a bit now. We have practiced visualizing our rib-slice-worm (RSW) in time. And practiced thinking of the RSW already existing in the future and possibly being able to move in the past. Lets play with that image a bit. Visualize yourself running down a straight section of trail and then see your RSW extending through time over that frame. Your RSW is sort of tilted in the direction that you ran and is fairly straight. Imagine the RSW being flexible, but somewhat stiff. Once you bend it in the direction down the trail, you are actually bending it in the future. Once it is bent you do not need to apply more force to make it "move", so you can just let time pass and it will express itself as moving forward through time.
Of course, we can not actually expect our RSW to float down the trail without some effort, because we still need to hold ourself up by moving our legs under us, overcoming wind resistance, avoiding obsticals and etc. However, if I was running on ice and then suddenly stopped running, I would continue to move forward until the reduced friction of the ice finally slowed me down. I can visualize the bent worm as being the means of creating the tendancy to keep moving and I can visualize my interaction with all of the surrounding worms as being the means of slowing me down... as I bend my worm into the future I must displace a lot of other future worms and I have limited energy to do that. Eventually the interaction with the other worms will cause me to "slow down" because I will then stop pushing the other worms around.
The other worms are exibiting the other property of momentum... they want to stay at rest because if they move they must push a bunch of other worms around... see? Moving through them into the future forces them to be displaced, which takes energy. If I stop appying energy, as when I stopped running, I eventually slow until my motion matches the motion of all the other worms around me. The concept of actually being "at rest" is sort of silly when you think about it... am I not on the surface of the earth spinning around 24,000 miles a day (1,000 mph)? Am I not circling the earth's orbit every year? Am I not moving with the solar system around the center of the Milky Way Galixie? What is "still"? Basically, we think of ourselves being at rest when we are matching our motion to the motion of all the other worms near us - see? If we ever find ourself in open space, with relatively few other worms around us, then we would expect to bend our worm and then sit back and move along into the future with almost no further expendature of energy. Of course we would surely find ourselves caught in some cometary eliptical orbit destined to return right back to the starting place! Can you see that creating a huge spiral racing across slice-time? At this point in my musing, I tend to think about the future "narrow gate" I need to pass through as a destination that is narrow, but accessible from anywhere in my 3D brane rather than as being some actual 3D locatiion. I can only visualize that in 4D space.
Now suppose we keep putting in more and more energy so that we go faster and faster. What will that look like? To me, I see my high velocity worm bending flatter and flatter to my "now" time surface. That means that for each slice, the next slice has to be displaced farther as I stack them up. It makes sense to me that there would be some limit to how far I could displace the slices, and that it would take more and more energy to accomplish that displacement. (Stay tuned for the next post when we will follow a single atom through time.) When we were thinking about time travel we visualized bending our RSW into an S shape in time. At the top and bottom bends of the S the direction of movement is flat, so that might cause a contradiction to the limitation of velocity except that the actual length of level travel is vanishingly small. It is like the moment in Calculus where the slope is 0, but it is exactly 0 for 0 time, so it does not actually violate the law! I love Calculus!
We will turn to the meaning of mass in the next posts and why it might be that mass increases with velocity. For now, just think about accelerating a particle. As velocity increases, the particle's mass increases, it shrinks and it takes more and more energy to accelerate it. I have read that one way to visualize the limitation of the speed of light is to imagine it taking more and more energy to accomplish the acceleration until it takes all of the energy in the universe to accelerate the tiniest particle to the speed of light. Like a nuclear reaction converting mass into energy, I would need to convert all of the mass in the universe into energy to accelerate that one particle... which would own that energy as mass but have vanishingly small length! Wow! If you packed all of that mass-energy into a single point and then it exploded, that would be a really Big Bang... ya'think?
It is sort of like the old saying that we know more and more about less and less until finally we know absoutely everything about nothing, at which point we also know absoutely nothing about everything!
(Hummm... So, why can light travel at the speed of light?)
Nois
Chaptor's musings about math, science, products, technology and other varied topics
Tuesday, May 25, 2010
Wednesday, May 19, 2010
Rectilinear or serpentine?
Rectilinear or serpentine?
What? What now, Nois?
OK, OK, back to time travel in a minute... First we have to talk about snakes, and worms. They have various modes of locomotion, including Rectilinear and Serpentine. Actually, several of the other modes are just variations of these. Think of the last fishing worm, or night crawler you saw... not too bad a memory I hope... remember how they seemed to stretch their head out in front of them, then they latched on up front and started to move the center part of their body up by the head, then they brought the tail end up to the rest of the body... repeat. Snakes can also do that, and they also bend their bodies into S shapes and propagate that S along their bodies, which propells them forward in serpentine mode.
OK, so why, the biology lesson? Well, If our rib-slice-worms (RSWs) are going to travel in time, they need to have a mode of locomotion - right? I have thought quite a bit about these two modes and would like to explore each of them a bit. Much like the Worm metaphore for 4D existance, I am not proposing this as a practical method, but rather as a means to visualize a system where one can visualize something that is nearly impossible to visualize normally. Let's see if it helps us visualize time travel without accidentally killing grandma...
Lets talk about serpentine locomotion first. From the perspective of classic syfy, this is time travel via the RSW metaphore. If you think about "Back to the future" Michael's RSW would need to bend back on itself so that his worm could go back below the "now" surface. To get a grasp of this, think about our Flatland friend's worm. What would happen as we watched him if his slice-time worm bent enough that he made an S curve instead of just going straight up and if part of that S went below the surface of the water. Would you expect that to damage him in any way? Nope. Well, we would have to assume that he was flexible enough to stretch that far and that it does not rip him away from future "fixed points" that had to happen. Of course, we also need to allow him to move in the "past" as we discussed last post. In the current metaphore, we said that the "worm" was only self aware at the surface of the water. If, so, then we could end up in a situation at the current surface, where there would actually be 3 instances of a conscious self - up, down, up! However, with those rules, the time traveler would not be consious when he was back visiting grandma! Not exactly what I had in mind! The time traveling worm would not bother grandma a bit and would not cause any significant trouble in the past, because he already clearly exists in the present and future... eh? If the worm stays bent like that then eventually the "now" surface cones up to the top of the S, then that stream of consiousness would suddenly end and the second "up" going self-aware would sort of "take over" as the future instance. That would explain some really odd days where I can not remember doing something that I clearly did, or remember doing something that I can see that I did not do! How about you?
Maybe I am a snake in time! If a tenticle of a hydra bent down and then back up, would we expect that to damage him, the other tenticles, or significantly change the rest of the hydra higher up... nope.
Rectilinear motion is another interesting option! In this case, there is only one instance of consiousness... that is a good thing! However, there is an odd twist coused by the 'now" surface again. Lets suppose that the worm is able to stretch and squeeze himself like the worm. That would effectively take the "now.1" slice into the past or future and move some other "now.n" slice to the "now" surface. However, while the future slice was visiting the "now" surface, he would be self-aware. If he moved back to his normal surface and then eventually that became the self aware surface, he would remember being there in the past. Cool. Also, all oh his slices would experience passing through the "now" surface, so there would be an accelerated time passage for him during the move. Time would rewind very fast if he stretched the other way.
Another possiblity is that there is only one slice who is the designated driver, in that he is self-aware no matter where he goes along the time line. I find this possibility more appealing, and it fits with the syfy story lines better too! In this model, I am consious when I meet my grandma! I suppose I would have to be unconsious in the now... my wife would say she finds me drifting in another plane fairly often, so maybe that is it! I do not know what phenomanon makes me self-aware at the now surface, so I can not speculate what the rules might be for the traveling worm slices.
This experience seems similar to me as the "accedent awen" (1) I have experienced several times. Take for example a time when I witnessed a broad side collison. I was driving along a 55 mph road in North Denver in the inside lane when the light in front of me turned yellow. I made an instant decision and stopped. At exactly the moment I stepped on the break I heard the car that was behind me in the right lane accelerate to go on through the intersection. We all make those choices every time we drive... I thought they were pushing it, but hey, each person knows themselves and their car's abilities. I watched as the right lane car slowely approached the intersection. Across the intersection in the left turn lane was a car waiting to turn. When they saw me slowing to stop, they hit the gas and slowely began to turn. I was amazed to watch as the slowly turning car moved in front of the slowly crossing car to my right... why did they not both just stop! Oh well, I thought, they are going so slow, there will not be much damage... the crossing car hit the turning car on the right rear and that car spun around at least once, ending up going backwards back across the median on the other side of the intersection and into the the path of the oncoming traffic. Luckily, they were all slowing to stop at the red light and there was no additional damage. I breathed a sigh of relief as I saw the two drivers come out of both cars un-hurt... they were both mad at the other... but safe!
Wait a minute... play that back... that makes no sense. How could there have been such a forceful collision if they were moving so slow? Then I realized that I was awen... I call it being "accident awen" (1)-- that state of mind where time slows down and you experience everything in slow motion. (Some writers describe a battle awen where a warrior is able to fight better than 10 opponents because they see the opponents moving in slow motion while the opponents see them moving with lightening reflexes.) The police gathered my information as a witness, then went to handel the situation. When the policeman returned he explained that neither driver saw the other because my car blocked their vision... makes sense. He had one question for me... Did the car in the right lane enter the intersection before the light turned red... did it? Well, unfortunately, I reviewed the tape in my head several times and I never noticed the light change - duh!!! The police man sent me on my way... probably very frustrated.
So, my time travel question is, how did my brain know to go into the awen state so that I would watch the accident happen in slo-mo? Some researchers have said that our brains actually record all of those details all of the time and we arrange them to suite (Temporal Binding). So we are always assembling un-synchronized events into coherent sequences, so can easily perceive evereything in slo-mo. I don't know... not very appealing to me. I do not think I was remembering the slow-mo, I think I actually experienced it! Another school of thought (e.g. Kappa Effect) is that we can actually speed up or slow down our perception of time by how many incidents we perceive per second. So, if we want time to pass quickly, we can just become unaware of our surroundings and go into "limbo". I have a hard time doing that! About the only time I can stop my brain from whizzing around is to be fishing (and recently when barely running!)! Not sure Why! Also, if I want time to slow down, I just start to notice as many detials as possible. The mind perceives that time is passing slowly because it assumes a certain habitual rate of instance notices per second - see? This leaves me cold too because I still want to know how I knew to start watching, or perceiving those details? Others say that the adrenalin rush we have in danger slows down our perception of time.
Now, with our current RSW time travel metaphore, this is fairly easy to explain... Either I have some part of me that is a little bit aware of the future (remember when my Flatland friend agreed that he must have a little wafer thickness in time?) or I am able to slip back just a bit in time so that I can relive that snipet in slo-mo. I have thought about this a lot, and I really can not think up a better explanation... I can travel in time! And I do it on a fairly regular, but mostly unconsequential way. Suppose I was able to "change the past"... wouldn't I have told myself to look at that light?
Then again, it is possible that hearing that driver rev his engine right when I stepped on my break is what caused my mind to start recording in high-def and my perception to be in slo-mo. That would fit the second school of thought about the speed of time passing, and eliminate my time travel explanation... but, if so, wouldn't I be awen a lot?.. Like everytime something triggers my spider sense? Oh well... no easy answer here...
Nois
1. I am not referring here to the Awen of Welsh poetic inspiration, but related to it. You know how it feels to be "in awe" - right? That sort of breath stopping emotion that can comes from various sources... fear, grandness, majesty, power... accidents. Well, if you fall you are fallen - right, or If someone takes you, you are taken - eh? So if you are in awe, you are awen - see? In the Arthurian novels of Stephen A. Lawhead, he uses the term as I have - a state of mind. He talks often of the battle awen.
What? What now, Nois?
OK, OK, back to time travel in a minute... First we have to talk about snakes, and worms. They have various modes of locomotion, including Rectilinear and Serpentine. Actually, several of the other modes are just variations of these. Think of the last fishing worm, or night crawler you saw... not too bad a memory I hope... remember how they seemed to stretch their head out in front of them, then they latched on up front and started to move the center part of their body up by the head, then they brought the tail end up to the rest of the body... repeat. Snakes can also do that, and they also bend their bodies into S shapes and propagate that S along their bodies, which propells them forward in serpentine mode.
OK, so why, the biology lesson? Well, If our rib-slice-worms (RSWs) are going to travel in time, they need to have a mode of locomotion - right? I have thought quite a bit about these two modes and would like to explore each of them a bit. Much like the Worm metaphore for 4D existance, I am not proposing this as a practical method, but rather as a means to visualize a system where one can visualize something that is nearly impossible to visualize normally. Let's see if it helps us visualize time travel without accidentally killing grandma...
Lets talk about serpentine locomotion first. From the perspective of classic syfy, this is time travel via the RSW metaphore. If you think about "Back to the future" Michael's RSW would need to bend back on itself so that his worm could go back below the "now" surface. To get a grasp of this, think about our Flatland friend's worm. What would happen as we watched him if his slice-time worm bent enough that he made an S curve instead of just going straight up and if part of that S went below the surface of the water. Would you expect that to damage him in any way? Nope. Well, we would have to assume that he was flexible enough to stretch that far and that it does not rip him away from future "fixed points" that had to happen. Of course, we also need to allow him to move in the "past" as we discussed last post. In the current metaphore, we said that the "worm" was only self aware at the surface of the water. If, so, then we could end up in a situation at the current surface, where there would actually be 3 instances of a conscious self - up, down, up! However, with those rules, the time traveler would not be consious when he was back visiting grandma! Not exactly what I had in mind! The time traveling worm would not bother grandma a bit and would not cause any significant trouble in the past, because he already clearly exists in the present and future... eh? If the worm stays bent like that then eventually the "now" surface cones up to the top of the S, then that stream of consiousness would suddenly end and the second "up" going self-aware would sort of "take over" as the future instance. That would explain some really odd days where I can not remember doing something that I clearly did, or remember doing something that I can see that I did not do! How about you?
Maybe I am a snake in time! If a tenticle of a hydra bent down and then back up, would we expect that to damage him, the other tenticles, or significantly change the rest of the hydra higher up... nope.
Rectilinear motion is another interesting option! In this case, there is only one instance of consiousness... that is a good thing! However, there is an odd twist coused by the 'now" surface again. Lets suppose that the worm is able to stretch and squeeze himself like the worm. That would effectively take the "now.1" slice into the past or future and move some other "now.n" slice to the "now" surface. However, while the future slice was visiting the "now" surface, he would be self-aware. If he moved back to his normal surface and then eventually that became the self aware surface, he would remember being there in the past. Cool. Also, all oh his slices would experience passing through the "now" surface, so there would be an accelerated time passage for him during the move. Time would rewind very fast if he stretched the other way.
Another possiblity is that there is only one slice who is the designated driver, in that he is self-aware no matter where he goes along the time line. I find this possibility more appealing, and it fits with the syfy story lines better too! In this model, I am consious when I meet my grandma! I suppose I would have to be unconsious in the now... my wife would say she finds me drifting in another plane fairly often, so maybe that is it! I do not know what phenomanon makes me self-aware at the now surface, so I can not speculate what the rules might be for the traveling worm slices.
This experience seems similar to me as the "accedent awen" (1) I have experienced several times. Take for example a time when I witnessed a broad side collison. I was driving along a 55 mph road in North Denver in the inside lane when the light in front of me turned yellow. I made an instant decision and stopped. At exactly the moment I stepped on the break I heard the car that was behind me in the right lane accelerate to go on through the intersection. We all make those choices every time we drive... I thought they were pushing it, but hey, each person knows themselves and their car's abilities. I watched as the right lane car slowely approached the intersection. Across the intersection in the left turn lane was a car waiting to turn. When they saw me slowing to stop, they hit the gas and slowely began to turn. I was amazed to watch as the slowly turning car moved in front of the slowly crossing car to my right... why did they not both just stop! Oh well, I thought, they are going so slow, there will not be much damage... the crossing car hit the turning car on the right rear and that car spun around at least once, ending up going backwards back across the median on the other side of the intersection and into the the path of the oncoming traffic. Luckily, they were all slowing to stop at the red light and there was no additional damage. I breathed a sigh of relief as I saw the two drivers come out of both cars un-hurt... they were both mad at the other... but safe!
Wait a minute... play that back... that makes no sense. How could there have been such a forceful collision if they were moving so slow? Then I realized that I was awen... I call it being "accident awen" (1)-- that state of mind where time slows down and you experience everything in slow motion. (Some writers describe a battle awen where a warrior is able to fight better than 10 opponents because they see the opponents moving in slow motion while the opponents see them moving with lightening reflexes.) The police gathered my information as a witness, then went to handel the situation. When the policeman returned he explained that neither driver saw the other because my car blocked their vision... makes sense. He had one question for me... Did the car in the right lane enter the intersection before the light turned red... did it? Well, unfortunately, I reviewed the tape in my head several times and I never noticed the light change - duh!!! The police man sent me on my way... probably very frustrated.
So, my time travel question is, how did my brain know to go into the awen state so that I would watch the accident happen in slo-mo? Some researchers have said that our brains actually record all of those details all of the time and we arrange them to suite (Temporal Binding). So we are always assembling un-synchronized events into coherent sequences, so can easily perceive evereything in slo-mo. I don't know... not very appealing to me. I do not think I was remembering the slow-mo, I think I actually experienced it! Another school of thought (e.g. Kappa Effect) is that we can actually speed up or slow down our perception of time by how many incidents we perceive per second. So, if we want time to pass quickly, we can just become unaware of our surroundings and go into "limbo". I have a hard time doing that! About the only time I can stop my brain from whizzing around is to be fishing (and recently when barely running!)! Not sure Why! Also, if I want time to slow down, I just start to notice as many detials as possible. The mind perceives that time is passing slowly because it assumes a certain habitual rate of instance notices per second - see? This leaves me cold too because I still want to know how I knew to start watching, or perceiving those details? Others say that the adrenalin rush we have in danger slows down our perception of time.
Now, with our current RSW time travel metaphore, this is fairly easy to explain... Either I have some part of me that is a little bit aware of the future (remember when my Flatland friend agreed that he must have a little wafer thickness in time?) or I am able to slip back just a bit in time so that I can relive that snipet in slo-mo. I have thought about this a lot, and I really can not think up a better explanation... I can travel in time! And I do it on a fairly regular, but mostly unconsequential way. Suppose I was able to "change the past"... wouldn't I have told myself to look at that light?
Then again, it is possible that hearing that driver rev his engine right when I stepped on my break is what caused my mind to start recording in high-def and my perception to be in slo-mo. That would fit the second school of thought about the speed of time passing, and eliminate my time travel explanation... but, if so, wouldn't I be awen a lot?.. Like everytime something triggers my spider sense? Oh well... no easy answer here...
Nois
1. I am not referring here to the Awen of Welsh poetic inspiration, but related to it. You know how it feels to be "in awe" - right? That sort of breath stopping emotion that can comes from various sources... fear, grandness, majesty, power... accidents. Well, if you fall you are fallen - right, or If someone takes you, you are taken - eh? So if you are in awe, you are awen - see? In the Arthurian novels of Stephen A. Lawhead, he uses the term as I have - a state of mind. He talks often of the battle awen.
Tuesday, May 11, 2010
Why a Hydra? Why not a coral reef?
Why a Hydra? Why not a coral reef?
Because we did such a great job of finishing off the 300 year old argument about predistination and free will, I thouht we would tackle something simpler this post... time travel! Pretty scary with all the worry about accidently killing your gandmother while traveling to the past! Ah, but we must be brave! Our time-slice worms give us a totally different way of visualizing this interesting question... will we ever travel in time? This is too complex for one post, so we will talk about our "Past" paradigm first.
We already discussed this a little in the post "More Time for Nothng" . If our flatlander had no thickness in "hight," which was his "time," I would not be able to see him from his 2D brane! We agreed to consider him to be a thin wafer, rather than a 0-thickness surface. Then we tok little wafer snap shots of him and stacked them up to make a 3D worm from our 2D friend. Similarly, we took 2D wafer slices through our torsos to make 3D worms from ourselves and visualized a "hydra" creatures all the way back to Adam! Wow! a 12 billion bud hydra! (6 billion are "dead") We basically traded our "height" dimension for our "time" dimension.
As we grew our rib-slice-worm (RSW) I recommended that you visualize letting the "past" part of your worm sort of trail behind you as you rose through "time". This allowed us to visualize our RSW but leads to an interesting question... what is it like "down there?" In our usual paradigm of "past" we would need to think of the human-hydra as a coral reef stem - frozen like solid stone! Instead, we never gave it a thought, so our hydra was living and moving... hummm... interesting... Did you ever wonder if the past could be anything other than frozen?
I have a big problem when people, especially governments and the media '"rewrite" the past, and that is not what I am talking about! That is making the written record disagree with what happened. What I am talking about is actually changing the past! That is a very difficult paradigm shift, so let yourself relax a bit. Lets do what we did with the billion slice-space worms and concentrate on one simple example... like you! Your RSW that is. Remember when we visited flatland and watched our amoeba friend's slice-time worm move? He sort of twisted round, as worms do, but I did not mention at the time that if the part of him that was down in the watery past moved, it would be changing his past?. Right now, my RSW is pressed up against the back of my chair. Before that, I was in the kitchen. So my RSW went from the kitchen to the chair to come to the chair. Now, suppose I walked to the TV and then to the chair... Well it might not make any difference at all, but then again it could be like the buttefly Effect... suppose that during that act I saw an ad on TV that I would not have seen if I went to that chair... how far upstream would that change propagate? Hard to tell isn't it? It could totally change my life, or it might not cause any sgnificant change.
To me, the solution to this dilema is also the solution to the clasic problem about accidently killing your grandmother. Think about a hydra floating around in the water. The tenticles can float up and down, tangle together, unwind, etc. The do not damage each other do they? Suppose a tenticle hooked onto a twig. Would the rest of the tenticle have to stay froxen in the pond so that it did not pull the tenticle off the twig? Of course not! It is free to wiggle around. However, it does not wiggle around too hard and certainly not enough to hurt itself! So, why can't our RSWs worms wiggle around as long as they do not hurt themselves, including not doing something that significantly alters events? This is exactly the kind of flexibility I talked about last post about predestination... I can be soverignly passed through a future narrow gate without freezing me in time-space. I am free to wiggle around and am totally responsible for where I wiggle! So, for this post, I am just wondering if I could also do that in the past... see, if a 4D creature watched me he would just see me wiggling in time just like I watched my flatland friend's worm wiggle around.
Try that vision on for a while. We will do some real time travel next post.
Nois
Because we did such a great job of finishing off the 300 year old argument about predistination and free will, I thouht we would tackle something simpler this post... time travel! Pretty scary with all the worry about accidently killing your gandmother while traveling to the past! Ah, but we must be brave! Our time-slice worms give us a totally different way of visualizing this interesting question... will we ever travel in time? This is too complex for one post, so we will talk about our "Past" paradigm first.
We already discussed this a little in the post "More Time for Nothng" . If our flatlander had no thickness in "hight," which was his "time," I would not be able to see him from his 2D brane! We agreed to consider him to be a thin wafer, rather than a 0-thickness surface. Then we tok little wafer snap shots of him and stacked them up to make a 3D worm from our 2D friend. Similarly, we took 2D wafer slices through our torsos to make 3D worms from ourselves and visualized a "hydra" creatures all the way back to Adam! Wow! a 12 billion bud hydra! (6 billion are "dead") We basically traded our "height" dimension for our "time" dimension.
As we grew our rib-slice-worm (RSW) I recommended that you visualize letting the "past" part of your worm sort of trail behind you as you rose through "time". This allowed us to visualize our RSW but leads to an interesting question... what is it like "down there?" In our usual paradigm of "past" we would need to think of the human-hydra as a coral reef stem - frozen like solid stone! Instead, we never gave it a thought, so our hydra was living and moving... hummm... interesting... Did you ever wonder if the past could be anything other than frozen?
I have a big problem when people, especially governments and the media '"rewrite" the past, and that is not what I am talking about! That is making the written record disagree with what happened. What I am talking about is actually changing the past! That is a very difficult paradigm shift, so let yourself relax a bit. Lets do what we did with the billion slice-space worms and concentrate on one simple example... like you! Your RSW that is. Remember when we visited flatland and watched our amoeba friend's slice-time worm move? He sort of twisted round, as worms do, but I did not mention at the time that if the part of him that was down in the watery past moved, it would be changing his past?. Right now, my RSW is pressed up against the back of my chair. Before that, I was in the kitchen. So my RSW went from the kitchen to the chair to come to the chair. Now, suppose I walked to the TV and then to the chair... Well it might not make any difference at all, but then again it could be like the buttefly Effect... suppose that during that act I saw an ad on TV that I would not have seen if I went to that chair... how far upstream would that change propagate? Hard to tell isn't it? It could totally change my life, or it might not cause any sgnificant change.
To me, the solution to this dilema is also the solution to the clasic problem about accidently killing your grandmother. Think about a hydra floating around in the water. The tenticles can float up and down, tangle together, unwind, etc. The do not damage each other do they? Suppose a tenticle hooked onto a twig. Would the rest of the tenticle have to stay froxen in the pond so that it did not pull the tenticle off the twig? Of course not! It is free to wiggle around. However, it does not wiggle around too hard and certainly not enough to hurt itself! So, why can't our RSWs worms wiggle around as long as they do not hurt themselves, including not doing something that significantly alters events? This is exactly the kind of flexibility I talked about last post about predestination... I can be soverignly passed through a future narrow gate without freezing me in time-space. I am free to wiggle around and am totally responsible for where I wiggle! So, for this post, I am just wondering if I could also do that in the past... see, if a 4D creature watched me he would just see me wiggling in time just like I watched my flatland friend's worm wiggle around.
Try that vision on for a while. We will do some real time travel next post.
Nois
Saturday, May 8, 2010
Predestination and free will, at the same time...
Predestination and free will, at the same time...
When we imagined our torso rib-slice-worm (RSW) for the last post we ended up with an incredible picture of humankind all the way back to Adam! All of the hydra stalks were cross connected and twisted around each other in an amazing tangle. But we failed to think about one aspect that our 3D flatland visitor saw immediately when he looked at the amoeba... the amoeba was really a worm that stretched below (past) and above (future) the slowly rising water in the drum. For some reason, the worm was only self aware right at the water/air interface! However, the 3D visitor saw all of the worm at once... as a creature in time.
In Frank Herbert's sci fy clasic "Dune", he visualized time as a billion pre and post possibilities intersecting at now. I am not proposing the same concept, but it is a somewhat related thought. Instead, I am visualizing a creature, which exists in time-space as a billion, stacked up time slice worms. Again, we pick one slice to help visualize this creature, say, the rib-slice-worm (RSW). We spent a lot of time visualizing this guy last post and even saw him as a bud off an Adam Hydra, attached finally to the dust of the new creation. But, try to make this next leap in the visualization... Think of yourself as the 3D visitor to Flatland who could see the 3D amoeba-worm stretching both above and below the water's surface. To the time-free 4D viewer, our human worm creature already exists in the future, just as it exists in the past! Whoa... stop a while and let that soak...
My RSW is only self aware at the past/future interface just as the Flatland amoeba worm was self aware only at the water/air interface! This view of my RSW has some interesting consequences. For this post, we will only think through one of them. How do you feel about predestination? In Christianity there has been a "war" of sorts for a long time about predestination and free will. Some of the major lines of reasoning became focused in the teachings of John Calvin (Calvinistic) and Professor Armineas (Arminian). While there are various points of difference, one major one is the difference in how they see predestination and free will. After all if we are predestined to sin, then how can we be held accountable for that sin? Can we not see God as having freedom in time so that he can look "up" through the future to see me accept Christ as savior and Lord? So, I am predestinated because that is what God sees. Or, from the other side, God is soverign and he knows his children from the foundation of the universe. They are soverignly elected, and therefor arrive at the moment of rebirth. Those who are not the elect do not go through the "narrow gate". Both of them are free to choose to sin, and are fully responsible but the elect have their debt "paid in full". (if you want more details there are at least 300 years wourh of books and other writings on the subject! Eternal secutity can take a whole nother life time to ponder...)
Hummm... all of that would have seemed very hard to visualize just a few weeks ago, but now that you can view your RSW, you can see that in fact, both are true at the same time! Problem solved! God sees the entire creature from the foundation of the universe to the Adam-bud to the me-bud. God may soverignly pass my RSW through the narrow gate while I maintain full free will and responsibility for what my worm does on the way there... see? This image was an incredible reliefe 25 years ago when I was struggling with these two different theologies! Both schools seemed to have right ideas and both seemed to have weak ideas. I have never been able to give enough context to explain it to more than a few people, so hopefully you, gentle reader, are now among the group who sees this! Ordinary thought just does not allow one to think about predestnation and free will at the same time, but with our new time creatures, it is a synch! It is all just a matter of perspective!
In Watchman Nee's classic "Sit, Walk, Stand" Nee also touches this truth. He describes the believer as simultaneously seated with Christ in the heavenlies, walking through a messy life, and standing on the power of a choice for Christ all at the same time! You can visualize that easily if you think of your RSW existing at all those points already. Years later when I was talking to my daughter about how a road knows the way back to the tent, I answered "It knows because it is already there." This is also that kind of vision - see it?
I can not end this without relaying my favorite Calvinistic/Arminian story... Oh no... there he goes again... This is from a neighborhood Reformed Prespretarian (Calvinistic) pastor who was talking to us as we were thinking about changing churches. John Calvin and John Wesely (Arminian) both died, and were walking up paths to heaven. As luck would have it the paths they were on joined and as soon as they saw each other, there was great rejoycing! "John! how good to see you!" "No, John, it is my pleasure! How delightful!" (sure, they talked like that...) They continued their rejoycing and reminiscing as they walked up the path. Soon, they came to the walls of Heaven, and they saw the Pearly Gates. They stopped. Wesely looked longingly at Calvin... Calvin nodded as in final agreement... there, above the gate, was an inscription: "Whosoever will may come!" They embraced, and continued on arm in arm. They entered heaven and started to walk from the gate a bit down the street of gold. Suddenly, Wesely felt Calvin tug on his sleve... They both turned around and stared back at the Pearly Gates. There above the inside of the gates was another inscription: "Known from the foundation of the universe!" It was just a matter of perspective.
Nois
When we imagined our torso rib-slice-worm (RSW) for the last post we ended up with an incredible picture of humankind all the way back to Adam! All of the hydra stalks were cross connected and twisted around each other in an amazing tangle. But we failed to think about one aspect that our 3D flatland visitor saw immediately when he looked at the amoeba... the amoeba was really a worm that stretched below (past) and above (future) the slowly rising water in the drum. For some reason, the worm was only self aware right at the water/air interface! However, the 3D visitor saw all of the worm at once... as a creature in time.
In Frank Herbert's sci fy clasic "Dune", he visualized time as a billion pre and post possibilities intersecting at now. I am not proposing the same concept, but it is a somewhat related thought. Instead, I am visualizing a creature, which exists in time-space as a billion, stacked up time slice worms. Again, we pick one slice to help visualize this creature, say, the rib-slice-worm (RSW). We spent a lot of time visualizing this guy last post and even saw him as a bud off an Adam Hydra, attached finally to the dust of the new creation. But, try to make this next leap in the visualization... Think of yourself as the 3D visitor to Flatland who could see the 3D amoeba-worm stretching both above and below the water's surface. To the time-free 4D viewer, our human worm creature already exists in the future, just as it exists in the past! Whoa... stop a while and let that soak...
My RSW is only self aware at the past/future interface just as the Flatland amoeba worm was self aware only at the water/air interface! This view of my RSW has some interesting consequences. For this post, we will only think through one of them. How do you feel about predestination? In Christianity there has been a "war" of sorts for a long time about predestination and free will. Some of the major lines of reasoning became focused in the teachings of John Calvin (Calvinistic) and Professor Armineas (Arminian). While there are various points of difference, one major one is the difference in how they see predestination and free will. After all if we are predestined to sin, then how can we be held accountable for that sin? Can we not see God as having freedom in time so that he can look "up" through the future to see me accept Christ as savior and Lord? So, I am predestinated because that is what God sees. Or, from the other side, God is soverign and he knows his children from the foundation of the universe. They are soverignly elected, and therefor arrive at the moment of rebirth. Those who are not the elect do not go through the "narrow gate". Both of them are free to choose to sin, and are fully responsible but the elect have their debt "paid in full". (if you want more details there are at least 300 years wourh of books and other writings on the subject! Eternal secutity can take a whole nother life time to ponder...)
Hummm... all of that would have seemed very hard to visualize just a few weeks ago, but now that you can view your RSW, you can see that in fact, both are true at the same time! Problem solved! God sees the entire creature from the foundation of the universe to the Adam-bud to the me-bud. God may soverignly pass my RSW through the narrow gate while I maintain full free will and responsibility for what my worm does on the way there... see? This image was an incredible reliefe 25 years ago when I was struggling with these two different theologies! Both schools seemed to have right ideas and both seemed to have weak ideas. I have never been able to give enough context to explain it to more than a few people, so hopefully you, gentle reader, are now among the group who sees this! Ordinary thought just does not allow one to think about predestnation and free will at the same time, but with our new time creatures, it is a synch! It is all just a matter of perspective!
In Watchman Nee's classic "Sit, Walk, Stand" Nee also touches this truth. He describes the believer as simultaneously seated with Christ in the heavenlies, walking through a messy life, and standing on the power of a choice for Christ all at the same time! You can visualize that easily if you think of your RSW existing at all those points already. Years later when I was talking to my daughter about how a road knows the way back to the tent, I answered "It knows because it is already there." This is also that kind of vision - see it?
I can not end this without relaying my favorite Calvinistic/Arminian story... Oh no... there he goes again... This is from a neighborhood Reformed Prespretarian (Calvinistic) pastor who was talking to us as we were thinking about changing churches. John Calvin and John Wesely (Arminian) both died, and were walking up paths to heaven. As luck would have it the paths they were on joined and as soon as they saw each other, there was great rejoycing! "John! how good to see you!" "No, John, it is my pleasure! How delightful!" (sure, they talked like that...) They continued their rejoycing and reminiscing as they walked up the path. Soon, they came to the walls of Heaven, and they saw the Pearly Gates. They stopped. Wesely looked longingly at Calvin... Calvin nodded as in final agreement... there, above the gate, was an inscription: "Whosoever will may come!" They embraced, and continued on arm in arm. They entered heaven and started to walk from the gate a bit down the street of gold. Suddenly, Wesely felt Calvin tug on his sleve... They both turned around and stared back at the Pearly Gates. There above the inside of the gates was another inscription: "Known from the foundation of the universe!" It was just a matter of perspective.
Nois
Friday, April 30, 2010
Adam... the hydra...
Adam... the hydra...
OK kids... now we are going somewhere... all the way back to Adam. If you have enjoyed the mental gymnastics so far, I hope you will get a good work out this time. We are going to abandon the photo-flattening and go back to the micro slice technique.
Remember when we took the micro slices through two fingers and visualized the time snakes created as we stacked up copies from the same finger locations over time? As your fingers moved through time and space, their worms moved around in the slice-time space we created in our imagination. OK, so now instead of a finger, think about slicing right through your torso... right about at the bottom rib... Can you imagine that slice? Take another now... another... another... stack them up... What do you get? Yep, a really wormy worm this time, complete with innards! Try to visualize your rib-slice-worm (RSW) for a minute or two. Hopefully by now you can see yourself stretching through time. Imagine the slices from the previous moments sort of trailing off below you as you rise through time while unfurling your RSW like a rope.
Now, here's the real fun. I want you to travel with your torso RSW back through your day. Imagine similar torso RSWs of the people you saw -- the guy who cut you off in traffic, the person walking down the hall in front of you, the person you passed going the opposite way. Imagine all of those worms, but don't even try to imagine all of the other objects around you! You could hurt yourself! Can you do that for a day's worth of time? Sure, it is OK to leave out some detail... just see the basic idea. My worm went from the bed to the shower, then down to put some flaky stuff down a tube, then into the car, and in to work after dropping off my girls at school... oops there go their worms! I walked back and forth to the coffee station, sat at my desk, came home, drove out to get some sandwiches, sat at home here typing, then soon back to bed... quite a worm-day! If I allow myself to imagine the bed's worm, it is pretty stable, so it is just a stationary surface in time. My worm was on it, then did all the daily stuff, then plopped down right back on the bed surface again... can you see it? Sort of like ivy attaching to a trellis, then going out and then attaching again further up... What does yours look like? Try to see just the rib slices stacked up... can you see the worm? Work at it! How does it look when you breathe? Now you are getting it!
OK now, Please allow me to assume that Adam was a real, actual, person who was the real actual first man, personally crafted by God in the garden. For some, that is probably an even harder stretch than visualizing their RSW! Do it anyway, it will do you good to think through this. So, travel back in your imagination all the way to Adam. God got some dust, a little spit, breathed in the air (spirit) and poof... Adam! For our purposes now, we do not need all of Adam... we just need his rib-slice. Ah, you are getting ahead of me - eh? OK, go ahead and imagine his RSW for a little while. Got it? Well, as many of you know, it was not long and God decided to complete the creation by making Eve. He did not make her in the same way, but instead he took a rib from Adam! As luck would have it, it is exactly the rib that we sliced through to make Adams RSW! Cleaver of us.
But wait... if he took the rib out of Adam to make Eve, then Eve's RSW is actually sort of a bud off the side of Adam's RSW! Imagine That! Whoa, that is an odd creature indeed! Eventually there were other, child worms. how would they occur? Well, I suppose one would have to make slices at different places than the rib, but I just picked that rib-slice out as an example... remember all of the billion slices are there stacked up all through the time we see. We just picked one as an example to make it easier to visualize. So, make an Adam slice and an Eve slice in appropriate places and let yourself imagine that sequence... oops getting pretty racy on the old blog...
So... if you are back... with me... Did you see a tiny Adam-cell-worm move across, join with an Eve-cell-worm, making it's own worm, then bursting forth to continue on as a separate, but time-connected little, growing bud? Good. Now, continue to imagine that for a few generations... How about a thousand years? It gets pretty tangled and interconnected - eh?
When I first thought of Adam this way I tried to figure out how to describe it to the few people who would listen to me... thanks son!... about the only thing I could think of was a hydra! That is not an especially good metaphor, particularly if you visualize the mythological hydra that Hercules fought!!! Or the constellation!!!
No, No, NO, I am talking about the little pond creature! See some here http://www.fishpondinfo.com/animals/micro.htm
and here http://www.scientificillustrator.com/illustration/microscopic/hydra.html

.
Even that is not very good, and only good for a few child-buds, but it might give you a little help with this!
The scripture says that we were in Adam from the beginning. I think that this visualization gives an interesting insight to that truth. When I think of my RSW (and necessary others...) stretching back through my life, budding from my mother and father, from their parents, on... and on... What an amazing creature! ...All the way back to Adam... standing there in the garden... Eve is reaching for that fruit... I am silent... (Larry Crabb, "The Silence of Adam")
Nois
OK kids... now we are going somewhere... all the way back to Adam. If you have enjoyed the mental gymnastics so far, I hope you will get a good work out this time. We are going to abandon the photo-flattening and go back to the micro slice technique.
Remember when we took the micro slices through two fingers and visualized the time snakes created as we stacked up copies from the same finger locations over time? As your fingers moved through time and space, their worms moved around in the slice-time space we created in our imagination. OK, so now instead of a finger, think about slicing right through your torso... right about at the bottom rib... Can you imagine that slice? Take another now... another... another... stack them up... What do you get? Yep, a really wormy worm this time, complete with innards! Try to visualize your rib-slice-worm (RSW) for a minute or two. Hopefully by now you can see yourself stretching through time. Imagine the slices from the previous moments sort of trailing off below you as you rise through time while unfurling your RSW like a rope.
Now, here's the real fun. I want you to travel with your torso RSW back through your day. Imagine similar torso RSWs of the people you saw -- the guy who cut you off in traffic, the person walking down the hall in front of you, the person you passed going the opposite way. Imagine all of those worms, but don't even try to imagine all of the other objects around you! You could hurt yourself! Can you do that for a day's worth of time? Sure, it is OK to leave out some detail... just see the basic idea. My worm went from the bed to the shower, then down to put some flaky stuff down a tube, then into the car, and in to work after dropping off my girls at school... oops there go their worms! I walked back and forth to the coffee station, sat at my desk, came home, drove out to get some sandwiches, sat at home here typing, then soon back to bed... quite a worm-day! If I allow myself to imagine the bed's worm, it is pretty stable, so it is just a stationary surface in time. My worm was on it, then did all the daily stuff, then plopped down right back on the bed surface again... can you see it? Sort of like ivy attaching to a trellis, then going out and then attaching again further up... What does yours look like? Try to see just the rib slices stacked up... can you see the worm? Work at it! How does it look when you breathe? Now you are getting it!
OK now, Please allow me to assume that Adam was a real, actual, person who was the real actual first man, personally crafted by God in the garden. For some, that is probably an even harder stretch than visualizing their RSW! Do it anyway, it will do you good to think through this. So, travel back in your imagination all the way to Adam. God got some dust, a little spit, breathed in the air (spirit) and poof... Adam! For our purposes now, we do not need all of Adam... we just need his rib-slice. Ah, you are getting ahead of me - eh? OK, go ahead and imagine his RSW for a little while. Got it? Well, as many of you know, it was not long and God decided to complete the creation by making Eve. He did not make her in the same way, but instead he took a rib from Adam! As luck would have it, it is exactly the rib that we sliced through to make Adams RSW! Cleaver of us.
But wait... if he took the rib out of Adam to make Eve, then Eve's RSW is actually sort of a bud off the side of Adam's RSW! Imagine That! Whoa, that is an odd creature indeed! Eventually there were other, child worms. how would they occur? Well, I suppose one would have to make slices at different places than the rib, but I just picked that rib-slice out as an example... remember all of the billion slices are there stacked up all through the time we see. We just picked one as an example to make it easier to visualize. So, make an Adam slice and an Eve slice in appropriate places and let yourself imagine that sequence... oops getting pretty racy on the old blog...
So... if you are back... with me... Did you see a tiny Adam-cell-worm move across, join with an Eve-cell-worm, making it's own worm, then bursting forth to continue on as a separate, but time-connected little, growing bud? Good. Now, continue to imagine that for a few generations... How about a thousand years? It gets pretty tangled and interconnected - eh?
When I first thought of Adam this way I tried to figure out how to describe it to the few people who would listen to me... thanks son!... about the only thing I could think of was a hydra! That is not an especially good metaphor, particularly if you visualize the mythological hydra that Hercules fought!!! Or the constellation!!!
No, No, NO, I am talking about the little pond creature! See some here http://www.fishpondinfo.com/animals/micro.htm and here http://www.scientificillustrator.com/illustration/microscopic/hydra.html

.
Even that is not very good, and only good for a few child-buds, but it might give you a little help with this!
The scripture says that we were in Adam from the beginning. I think that this visualization gives an interesting insight to that truth. When I think of my RSW (and necessary others...) stretching back through my life, budding from my mother and father, from their parents, on... and on... What an amazing creature! ...All the way back to Adam... standing there in the garden... Eve is reaching for that fruit... I am silent... (Larry Crabb, "The Silence of Adam")
Nois
Tuesday, April 27, 2010
Flat Like Me...
Flat like me...
Did you like being a worm? Maybe not so much? A billion worms?... ah no thanks... Before we move on, lets try a different analogy and see how that goes. Basically, to visualize the time dimension via a 3D worm, we need to loose one of our 3 dimensions. Previously, we did that by making thin slices, but there is more than one way to flatten an amoeba!
Lets do a little mental exercise to warm up! To start, either commit to a 2 hour experiment, or warm up that imagination... (Did you actually slice that carrot for my earlier post?) Now, get a brekfast bowl and a small cup. put the cup upside down in the bowl and set it somewhere warm. Now go to the freezer, get an icecube and put it on top the cup so that you can see it. Now, go away! Not too far... Every 10-15 min come back and look at your time traveler. Is it the same each time? Is it changing? It is melting you say? Well what would you expect ice to do over time!
Alright... rewind that sequence in your mind. Imagine each visit to the cube as a photo. (If you need to, consider repeating the experiment and actually taking a series of digital picutres with your cell phone.) All a photo does is capture a projection of a 3d objct onto a 2D surface, so it is an alternate way of creating a "slice". (A movie creates a series of 2D projections of 3D objetcts.) Finally, if only in your mind, print out and glue those pics to some cardboard, cut them out and stack them up like we stacked the carrot slices. Voi la, we saw a 3D icecube became a 4D time traveler, then a 3D worm! See? In order for us to visualize the 3D worm, we had to morph the icecube to a 2D surface, then grow the worm from slices. Our worm is hard and has sharp edges near the base. As we go "up" in time his edges get more round. We see him get narrower and rounder, and then eventually he disapears. Got it?
If we want to consider the liquid water too, then the worm is even more interesting. It has a fairly solid tapering core with probably some little "streams" that would be like branches ending in pools that would be sort of like leaves. Of course, over time these leaves join together into a pool... so we end up with one big leaf and no trunk, like high up in a tree. The water leaf eventually evaporates and we may get some individual pools which eventually disappear. Think about the last few pictures. We go back to some individual lobe-leaves with each one disappearing... finally only one, the tallest one, left... then gone. The whole thing might end up looking sort of like a broccoli stalk!
Now, put your hand back in front of you, but this time, just take a picture of it. Play the same print/glue/cut/stack game as with the ice cube and you end up with a different kind of you-worm. You can let this one move too, like we did with the earlier finger worms. Also, if we are cleaver, we can always take the picture from the front of the hand and glue it to the pile with a little tilt as well as a side-to-side movement. Now we have a really interesting worm!
What do you get if you wigggle your fingers? Ooey gooey...
Nois
Did you like being a worm? Maybe not so much? A billion worms?... ah no thanks... Before we move on, lets try a different analogy and see how that goes. Basically, to visualize the time dimension via a 3D worm, we need to loose one of our 3 dimensions. Previously, we did that by making thin slices, but there is more than one way to flatten an amoeba!
Lets do a little mental exercise to warm up! To start, either commit to a 2 hour experiment, or warm up that imagination... (Did you actually slice that carrot for my earlier post?) Now, get a brekfast bowl and a small cup. put the cup upside down in the bowl and set it somewhere warm. Now go to the freezer, get an icecube and put it on top the cup so that you can see it. Now, go away! Not too far... Every 10-15 min come back and look at your time traveler. Is it the same each time? Is it changing? It is melting you say? Well what would you expect ice to do over time!
Alright... rewind that sequence in your mind. Imagine each visit to the cube as a photo. (If you need to, consider repeating the experiment and actually taking a series of digital picutres with your cell phone.) All a photo does is capture a projection of a 3d objct onto a 2D surface, so it is an alternate way of creating a "slice". (A movie creates a series of 2D projections of 3D objetcts.) Finally, if only in your mind, print out and glue those pics to some cardboard, cut them out and stack them up like we stacked the carrot slices. Voi la, we saw a 3D icecube became a 4D time traveler, then a 3D worm! See? In order for us to visualize the 3D worm, we had to morph the icecube to a 2D surface, then grow the worm from slices. Our worm is hard and has sharp edges near the base. As we go "up" in time his edges get more round. We see him get narrower and rounder, and then eventually he disapears. Got it?
If we want to consider the liquid water too, then the worm is even more interesting. It has a fairly solid tapering core with probably some little "streams" that would be like branches ending in pools that would be sort of like leaves. Of course, over time these leaves join together into a pool... so we end up with one big leaf and no trunk, like high up in a tree. The water leaf eventually evaporates and we may get some individual pools which eventually disappear. Think about the last few pictures. We go back to some individual lobe-leaves with each one disappearing... finally only one, the tallest one, left... then gone. The whole thing might end up looking sort of like a broccoli stalk!
Now, put your hand back in front of you, but this time, just take a picture of it. Play the same print/glue/cut/stack game as with the ice cube and you end up with a different kind of you-worm. You can let this one move too, like we did with the earlier finger worms. Also, if we are cleaver, we can always take the picture from the front of the hand and glue it to the pile with a little tilt as well as a side-to-side movement. Now we have a really interesting worm!
What do you get if you wigggle your fingers? Ooey gooey...
Nois
Saturday, April 24, 2010
I am a worm too...
I am a worm too... G'Day time travelors!
You h-a-v-e been traveling in time since the last post - eh? Remember our amoeba/wafer/worm friend who was slowly changing awareness-slices at the surface of the water as the rain slowly filled his 50 gal drum universe? How about you... are you a worm? Before you can start to wriggle around in time you need to figure out what carrot slices of youself would be like.
Alright. Here we go... take your hand and place it in front of you while making a victory V with your pointer and middle fingers. Use a microscopic double-bladed Samurai sword to remove a thin slice across those 2 fingers and pop them into a vat of nutrient solution so that they stay alive... aw come on! Ain't ya got no imagination??? OK, this seems a bit too barbaric, so, use some kind of Star trek transporter slicer to make a copy of each slice instead.
After a split second, take another pair of slices and stack them on top of the others. Supposing our copier allows us to keep doing this, what do we end up with in the vat? Right! 2 worms! Each new slice attaches to the previous slice and we would get worms just like our amoeba friends worm. If we take slices in more places, how many worms could we get? If we did a Plank length minimum slice we could get billions! If we slice closer to the base of the V, we would get an odd worm with 2 round lobes and a thin fleshy membrane connecting them. If we slice through our torso we would get a great big oval worm (some people have bigger torso worms than others!) Having any luck visualizing this? Give it some time. (They have actually done this sort of thing with cadavers "frozen in time" see 1 and 2 below to help visualize this. Remember that all of those slices are frozen at one time while ours are the same slice over and over at different times.)
What good is a 3D worm that can't move??? Remember how we allowed the flatland amoeba to move by stacking his carrot slices not quite straight? Lets do that with our finger worms. Before we make our next slice, we are going to move our hand slowly and then attach the new slices onto the worms offset to the side just the same tiny amount. Again, assume the worm can just seem to bend. As your hand moves in time, the finger worms just bend to the new positions. Careful, don't cross your fingers! You will get the worms all tangled up! Fun eh?
Alright... a final visualization for this post. If we wanted to, we could copy/slice our entire body and stack all billion worms up in a giant vat (again, see 1 and 2 below). Then, if we wanted to, we could grab all of the slices at one time-slice-level and stick them all back together to make a "me". If each time-slice-level was only self-aware when hooked together, and if we could grab/stack/attach them to make my "me" very quickly, that could actually be me!
Now, suppose they were not actually stacked separately, but rather all stacked together while also being sorted into worms... Huh? How could you do that??? Well, you can't without another dimension, but you can't grab/stack/attach them either, and we did not let that stop us! Lets just say that I am either the series of 3D "me"s that I see, or a billion worms depending on the perspective I want to use at the moment. Let that image soak for a bit. Happy stacking!
Nois.
1. http://en.wikipedia.org/wiki/Visible_Human_Project
2. http://www.dhpc.adelaide.edu.au/projects/vishuman2/VisibleHuman.html
You h-a-v-e been traveling in time since the last post - eh? Remember our amoeba/wafer/worm friend who was slowly changing awareness-slices at the surface of the water as the rain slowly filled his 50 gal drum universe? How about you... are you a worm? Before you can start to wriggle around in time you need to figure out what carrot slices of youself would be like.
Alright. Here we go... take your hand and place it in front of you while making a victory V with your pointer and middle fingers. Use a microscopic double-bladed Samurai sword to remove a thin slice across those 2 fingers and pop them into a vat of nutrient solution so that they stay alive... aw come on! Ain't ya got no imagination??? OK, this seems a bit too barbaric, so, use some kind of Star trek transporter slicer to make a copy of each slice instead.
After a split second, take another pair of slices and stack them on top of the others. Supposing our copier allows us to keep doing this, what do we end up with in the vat? Right! 2 worms! Each new slice attaches to the previous slice and we would get worms just like our amoeba friends worm. If we take slices in more places, how many worms could we get? If we did a Plank length minimum slice we could get billions! If we slice closer to the base of the V, we would get an odd worm with 2 round lobes and a thin fleshy membrane connecting them. If we slice through our torso we would get a great big oval worm (some people have bigger torso worms than others!) Having any luck visualizing this? Give it some time. (They have actually done this sort of thing with cadavers "frozen in time" see 1 and 2 below to help visualize this. Remember that all of those slices are frozen at one time while ours are the same slice over and over at different times.)
What good is a 3D worm that can't move??? Remember how we allowed the flatland amoeba to move by stacking his carrot slices not quite straight? Lets do that with our finger worms. Before we make our next slice, we are going to move our hand slowly and then attach the new slices onto the worms offset to the side just the same tiny amount. Again, assume the worm can just seem to bend. As your hand moves in time, the finger worms just bend to the new positions. Careful, don't cross your fingers! You will get the worms all tangled up! Fun eh?
Alright... a final visualization for this post. If we wanted to, we could copy/slice our entire body and stack all billion worms up in a giant vat (again, see 1 and 2 below). Then, if we wanted to, we could grab all of the slices at one time-slice-level and stick them all back together to make a "me". If each time-slice-level was only self-aware when hooked together, and if we could grab/stack/attach them to make my "me" very quickly, that could actually be me!
Now, suppose they were not actually stacked separately, but rather all stacked together while also being sorted into worms... Huh? How could you do that??? Well, you can't without another dimension, but you can't grab/stack/attach them either, and we did not let that stop us! Lets just say that I am either the series of 3D "me"s that I see, or a billion worms depending on the perspective I want to use at the moment. Let that image soak for a bit. Happy stacking!
Nois.
1. http://en.wikipedia.org/wiki/Visible_Human_Project
2. http://www.dhpc.adelaide.edu.au/projects/vishuman2/VisibleHuman.html
Thursday, April 22, 2010
Before you can fly...
Before you can fly...
So, you want to fly in time? Before you can fly, you have to wriggle... ugh... like a worm? What's that got to do with time travel???
To get started, lets do a little culinary chore... slice a carrot, thin... not to the Plank length, but make them thin... got it? (Are you just doing this in your head?? OK! If you can handle it...) Now, take all those slices and stack them back up to make the carrot again. Does that seem like a waste of time? Then, just consider it an investment in your education!
I need to tell you something about my flatland friend... he is not actually flat, nor is he a wafer like I discussed last post. You were not ready to see him at that point! What he thinks he is is not at all what he is... sounds familiar to Nois readers - eh? He thinks he is a disk, and we said (and lied) that he is really a wafer, but he thinks that only because that is all he can perceive. He has 2D perception after all! Even if he agrees that he has a little thickness in time, he has no idea what he actually looks like to me in 3D... he is a worm!
Say what??? OK, visualize this... you remember how I put the pencil into his 2D brane, then pulled it back out? He just saw a series of disks, but I saw the entire pencil. In exactly the same way, he sees himself as a disk, but I see a worm! To make this a little easier, lets loose the pond analogy, and put my flatland amoeba friend on the surface of some water in a 50 gal drum. It is gently raining and the drum is slowly filling with water. Now, think of my friend as a worm like creature who actually is attached to the bottom of the drum and extends up through the water and into the air. Thing is, he is only aware of himself at the surface of the water... I do not know why... this is just an analogy, not a theory of existence! (Hummm... maybe it is the interface change from water to air... from past to future...) I am free to move around and see him all the way from top to bottom, but he only sees himself as a disk at the water surface.
You can think of his surface existence as the thin disk we talked about before and think of the rest of him as all the other carrot slices of him. For him, the passage of time is the rising of the water and the perception of himself at a new level. I see him at all the points in "time", but he only sees himself at one time +/- a bit. Get the idea? You will probably need to stop a few minutes and let that soak in...
Back? What happens if you do not stack the slices quite straight? Now stretch that brain a little more... lets let him move around a bit... say 1 inch West. What does that look like to him? Not too exciting. He just takes his little disk-self and uses his little flagilla to scoot himself across the surface of the water. I, on the other hand see something completely different! I see this worm creature flex and bend himself so that the place where he comes out of the water is 1 inch west.
That may seem the same to you, but it is drastically different in terms of it's logical consequences. We need to pursue this bunny trail some more, but enough brain stretching for one post.
Nois
So, you want to fly in time? Before you can fly, you have to wriggle... ugh... like a worm? What's that got to do with time travel???
To get started, lets do a little culinary chore... slice a carrot, thin... not to the Plank length, but make them thin... got it? (Are you just doing this in your head?? OK! If you can handle it...) Now, take all those slices and stack them back up to make the carrot again. Does that seem like a waste of time? Then, just consider it an investment in your education!
I need to tell you something about my flatland friend... he is not actually flat, nor is he a wafer like I discussed last post. You were not ready to see him at that point! What he thinks he is is not at all what he is... sounds familiar to Nois readers - eh? He thinks he is a disk, and we said (and lied) that he is really a wafer, but he thinks that only because that is all he can perceive. He has 2D perception after all! Even if he agrees that he has a little thickness in time, he has no idea what he actually looks like to me in 3D... he is a worm!
Say what??? OK, visualize this... you remember how I put the pencil into his 2D brane, then pulled it back out? He just saw a series of disks, but I saw the entire pencil. In exactly the same way, he sees himself as a disk, but I see a worm! To make this a little easier, lets loose the pond analogy, and put my flatland amoeba friend on the surface of some water in a 50 gal drum. It is gently raining and the drum is slowly filling with water. Now, think of my friend as a worm like creature who actually is attached to the bottom of the drum and extends up through the water and into the air. Thing is, he is only aware of himself at the surface of the water... I do not know why... this is just an analogy, not a theory of existence! (Hummm... maybe it is the interface change from water to air... from past to future...) I am free to move around and see him all the way from top to bottom, but he only sees himself as a disk at the water surface.
You can think of his surface existence as the thin disk we talked about before and think of the rest of him as all the other carrot slices of him. For him, the passage of time is the rising of the water and the perception of himself at a new level. I see him at all the points in "time", but he only sees himself at one time +/- a bit. Get the idea? You will probably need to stop a few minutes and let that soak in...
Back? What happens if you do not stack the slices quite straight? Now stretch that brain a little more... lets let him move around a bit... say 1 inch West. What does that look like to him? Not too exciting. He just takes his little disk-self and uses his little flagilla to scoot himself across the surface of the water. I, on the other hand see something completely different! I see this worm creature flex and bend himself so that the place where he comes out of the water is 1 inch west.
That may seem the same to you, but it is drastically different in terms of it's logical consequences. We need to pursue this bunny trail some more, but enough brain stretching for one post.
Nois
Saturday, April 17, 2010
More Time for Nothing...
More Time for Nothing...
OK, Time travelers... ready for the ultimate skinny? Suppose someone asks you how far it is around a lake while you are running. You may be tempted to say something like "Oh, it is about 1-and-a-half miles." That would not be any fun! So, instead answer with a question, like "Gee, mister, how big a ruler should I use?" Assuming you do not get punched out, you will probably be ignored and left alone, permanently... by that person anyway. However, on the rare occasion that some brave soul rises to the bait... "How about paces." I gladly answer "Just about 1800."
Now suppose we ask a more serious question. How far is it around the lake if I use a meter stick? How about a 1 Foot ruler? How about a 1" measure? A 1/2" measure? A 1/4" measure?... A .0000001" measure? Would all of those come out the same? You are measuring the same lake - right? But, do you get the same answer? No. Now wait a minute... what do we mean by "around the lake"? Clearly if I drew a line around the lake and just measured the same line with different measures it might be pretty simple... so lets keep it interesting and say that you measure as close to the water line as possible... now answer the question... Visualize it... Not so easy. Not even if you froze te water so that it stood still! If you read my earlier posts about existance you know that I think there is no right answer because neither the pond, nor the ruler, nor I exist. However, aside from that, lets talk about what we perceive to be real. Is there a right answer to how far is it around the lake? I suppose you can chew on that a while... ya'know that little pebble you ignored with the 1' ruler? Don't forget to measure around it with the .1' ruler! Tricky!
Mathematicians spend a lot of time thinking about really big and really small numbers... sort of the ultimate extreme athletes! Maybe we could get a "right" answer to the above question if we had the ultimate shortest measure. Some gague and string theories adopt the Plank length (1.616252(81)×10^35 meters) as the ultimately shortest short... Which is related via the speed of light to the shortest time interval, the chron. To illustrate, think about thin tall things. Take a square that is 1" by 1". By definition, it has an area of 1 square inch. Now, lets squish it so that it is only 1/2" wide, but with the same area... sure, it has to be 2" tall (2 * .5 = 1). Now squeeze it until it is 1/4" wide... yep, it will be 4" tall. See the game? So, let's get really crazy and squeeze it until it is 1/10000000000" wide. Sure, simple, it is 10000000000" tall. Seems easy, but can you answer this question... How tall is it if I squeeze it to 0" wide? Is that even possible? Is there a "Tallness" that would still give 1 square inch? Well... generally we just avoid that question... Some like to talk about infinity, but usually the answer is "You give me the width and I will give you the height." The hight gets as tall as it needs to get - See? So, if we use the Plank length as the utimate skinny, that little square would be 1.616252x10^35 meters tall! (About 10^32 miles!)
Lets take our ultimate skinny measure and travel back to the 1880's to see what our Flatland friend is up to...
E. Abbot Abbot's stories of the Flatland folk had to deal with an issue of thinness in regard to the 3D visitor who reveals himself to them. Lets just talk about me and my pencil the day after I put it through my 2D friends living room and then pulled it out! He thought he was going crazy! From my perspective, it seemed very easy! But I had a different problem... I could not seem to see him very well in his space. When I got down close to the pond surface, everything just seemed to disappear! Try this experiment... get a piece of paper and a pencil. Draw a light, straight, inch-or-so pencil line on the paper and look at it... any trouble seeing that? Nope. Ok, now lay the paper on the table and get down close to the surface... can you still see it easily? yes? OK, get closer... Closer... you see? After a bit you can not see the line at all!
I had that trouble with my friend! If I entered his space I saw nothing! So, answer me this... How thin is that pencil line? The thickness of the image on the Shroud of Turin is 200-600 nanometers (http://www.shroudstory.com/) - Is a pencil line that thin? However thin it is it is too thin to be viewed easliy from the surface it is on. So, as EAA said in Flatland, the creatures had a little thickness. OK, that is cool! Let's say that!
Lets think about me in my 3D world and about some 4D creature coming to visit me. Lets also suppose that the 4th dimension we both have but that I do not perceive the same, is time! If he comes into my world will he be able to see me? I think not, or at least not easily. I think that if he is "above" or "below" my time he can see me just fine, but as he gets close to my 3D "brane" he would have more and more trouble seeing me! Just like I have trouble seeing the pencil line on the paper or seeing my Flatland friend. (We will talk more about time as a space dimension next post.)
Now, that leads to an interesting question... do I have a little thickness in 4D just like the Flatlander has a little thickness in 3D? I often visualize our universe as the surface of a slice through time where the stuff "below" is the past and the stuff "above" is the future. After our above discussion, maybe it can not be a surface, but rather a thin wafer. Hummmm... does that mean that I exist now but also a bit in the past and a bit in the future? Maybe that is how we are able to remember things and predict events.
If we only preceived "Now" what would the past mean? See? Wouldn't it be hard to live in a world where we could not infer where a ball would go when we threw it? Heisenberg's famous Uncertainty Principal says about the same thing... you can not know both the location and the momentum of a particle with ultimate precision. If I slice the location of the particle too thinly, I can not measure it's velocity! I can not predict it's path. I need a little thickness to take the measurement. Similarly, in time-talk, we can infer instantaneous velocity, but we can not measure it - we need a little time to do the measurement.
OK, Time travelers... ready for the ultimate skinny? Suppose someone asks you how far it is around a lake while you are running. You may be tempted to say something like "Oh, it is about 1-and-a-half miles." That would not be any fun! So, instead answer with a question, like "Gee, mister, how big a ruler should I use?" Assuming you do not get punched out, you will probably be ignored and left alone, permanently... by that person anyway. However, on the rare occasion that some brave soul rises to the bait... "How about paces." I gladly answer "Just about 1800."
Now suppose we ask a more serious question. How far is it around the lake if I use a meter stick? How about a 1 Foot ruler? How about a 1" measure? A 1/2" measure? A 1/4" measure?... A .0000001" measure? Would all of those come out the same? You are measuring the same lake - right? But, do you get the same answer? No. Now wait a minute... what do we mean by "around the lake"? Clearly if I drew a line around the lake and just measured the same line with different measures it might be pretty simple... so lets keep it interesting and say that you measure as close to the water line as possible... now answer the question... Visualize it... Not so easy. Not even if you froze te water so that it stood still! If you read my earlier posts about existance you know that I think there is no right answer because neither the pond, nor the ruler, nor I exist. However, aside from that, lets talk about what we perceive to be real. Is there a right answer to how far is it around the lake? I suppose you can chew on that a while... ya'know that little pebble you ignored with the 1' ruler? Don't forget to measure around it with the .1' ruler! Tricky!
Mathematicians spend a lot of time thinking about really big and really small numbers... sort of the ultimate extreme athletes! Maybe we could get a "right" answer to the above question if we had the ultimate shortest measure. Some gague and string theories adopt the Plank length (1.616252(81)×10^35 meters) as the ultimately shortest short... Which is related via the speed of light to the shortest time interval, the chron. To illustrate, think about thin tall things. Take a square that is 1" by 1". By definition, it has an area of 1 square inch. Now, lets squish it so that it is only 1/2" wide, but with the same area... sure, it has to be 2" tall (2 * .5 = 1). Now squeeze it until it is 1/4" wide... yep, it will be 4" tall. See the game? So, let's get really crazy and squeeze it until it is 1/10000000000" wide. Sure, simple, it is 10000000000" tall. Seems easy, but can you answer this question... How tall is it if I squeeze it to 0" wide? Is that even possible? Is there a "Tallness" that would still give 1 square inch? Well... generally we just avoid that question... Some like to talk about infinity, but usually the answer is "You give me the width and I will give you the height." The hight gets as tall as it needs to get - See? So, if we use the Plank length as the utimate skinny, that little square would be 1.616252x10^35 meters tall! (About 10^32 miles!)
Lets take our ultimate skinny measure and travel back to the 1880's to see what our Flatland friend is up to...
E. Abbot Abbot's stories of the Flatland folk had to deal with an issue of thinness in regard to the 3D visitor who reveals himself to them. Lets just talk about me and my pencil the day after I put it through my 2D friends living room and then pulled it out! He thought he was going crazy! From my perspective, it seemed very easy! But I had a different problem... I could not seem to see him very well in his space. When I got down close to the pond surface, everything just seemed to disappear! Try this experiment... get a piece of paper and a pencil. Draw a light, straight, inch-or-so pencil line on the paper and look at it... any trouble seeing that? Nope. Ok, now lay the paper on the table and get down close to the surface... can you still see it easily? yes? OK, get closer... Closer... you see? After a bit you can not see the line at all!
I had that trouble with my friend! If I entered his space I saw nothing! So, answer me this... How thin is that pencil line? The thickness of the image on the Shroud of Turin is 200-600 nanometers (http://www.shroudstory.com/) - Is a pencil line that thin? However thin it is it is too thin to be viewed easliy from the surface it is on. So, as EAA said in Flatland, the creatures had a little thickness. OK, that is cool! Let's say that!
Lets think about me in my 3D world and about some 4D creature coming to visit me. Lets also suppose that the 4th dimension we both have but that I do not perceive the same, is time! If he comes into my world will he be able to see me? I think not, or at least not easily. I think that if he is "above" or "below" my time he can see me just fine, but as he gets close to my 3D "brane" he would have more and more trouble seeing me! Just like I have trouble seeing the pencil line on the paper or seeing my Flatland friend. (We will talk more about time as a space dimension next post.)
Now, that leads to an interesting question... do I have a little thickness in 4D just like the Flatlander has a little thickness in 3D? I often visualize our universe as the surface of a slice through time where the stuff "below" is the past and the stuff "above" is the future. After our above discussion, maybe it can not be a surface, but rather a thin wafer. Hummmm... does that mean that I exist now but also a bit in the past and a bit in the future? Maybe that is how we are able to remember things and predict events.
If we only preceived "Now" what would the past mean? See? Wouldn't it be hard to live in a world where we could not infer where a ball would go when we threw it? Heisenberg's famous Uncertainty Principal says about the same thing... you can not know both the location and the momentum of a particle with ultimate precision. If I slice the location of the particle too thinly, I can not measure it's velocity! I can not predict it's path. I need a little thickness to take the measurement. Similarly, in time-talk, we can infer instantaneous velocity, but we can not measure it - we need a little time to do the measurement.
If the Plank-length-chron is an actual smallest thickness in time, then I have a thickness in time! Then what happens if I leave my 3D prison brane and learn to fly in the 4th dimension? Am I traveling in time? EAA's Flatlander learned to fly in 3D... maybe there is hope for me in 4! Nois
Wednesday, April 7, 2010
Time to write about time...
Time to write about time...
If you are waiting with bated breath for my next post about gravity... sorry... you will need to wait. I have started to write a few times, and I just can not do it without taking you off on another bunny trail that I walked before I had the gravity epiphany while talking to my 3-year old. The trail I am talking about is TIME! I suppose I must say that time does not exist either, just to be consistent. However, like my existance, I believe that time exists, but not as I normally perceive it. This insight will take a few posts to unpack, as will the following discussion about gravity. It should be interesting though... would you like a way to visualize time travel? Would you like to see how you can have predestination and free will at the same time? Be brave and read on.
I need to keep these posts shorter than my ones on existance, so I will make them into shorter chunks. Hopefully you will not run out of interest before you run out of text. This first one will introduce Flatland, then from there we will talk about a rain barrel, then about Adam, the hydra; then about time travel and changing the past. Eventually we will end up back at the Galactic Hologram, finally to Einstine's rubber sheet, and to gravity. Here we go.
As a graduate studant in Math at Colorado State University several professors mentioned a little book called "Flatland: A Romance of Many Dimensions" 1884, by Edwin Abbot Abbot an English schoolmaster. Even without reading it, the ideas excited me because they gave me a tool to visualize 9 dinensions! Say, what... how could that be? Well, you see, if I can be in 3 dinensions, and can under stand how a 2-D creature can visualize my 3-D world, that helps me to visualize a 4-D world... see? Then on to 9 or farther!
Here's the basic idea... Imagine a little 2-D sort of creature... I sometimes think about an amobea living on the surface of a pond... not perfect, but it is something I can see in my mind. Suppose he wants to build a house... what would it be? If we assume that he and his fellow creatures can not swin dowm from the surface or up into the air, then, all he needs is a little ring of algae stems with a little hinged one for a door! As far as he is concerned, when he closes that door he is completely safe and can not be seen or see out.
So, let's suppose he "gets up" in the morning and goes outside. Suddenly he is terrified to see a little black dot appear out of nowhere! then it grows into a hard, black disk. Of course he only sees a black line, but he is used to moving around an object to figure out it's shape. Then, it changes into a brown, fuzzy disk that grows and then into a red disk. Just as quickly, it goes back to the black dot and is gone. Scary! What he does not know is that I just put a red pencil down into the water near his house and then pulled it out. Stop a while and visualize that sequence in your mind... what does it look like to me. What does it look like to him?
That night I rocked his world... I put the pencil into his "house"... he did not sleep any more that night!
So, how would a Flatland Jesus walk through the walls? He would have freedom in other dimensions, so he simply goes up or down a bit, moves over the closed stem walls, and moves back to flat-D. Voi la! He is inside a locked door...
How would that look if I was a 3-D creature with a 3-D house and someone with freedom in time simply went "up" in time moved over inside my locked house and them came back to my time... are you getting it? Don't have nightmares. Nois
If you are waiting with bated breath for my next post about gravity... sorry... you will need to wait. I have started to write a few times, and I just can not do it without taking you off on another bunny trail that I walked before I had the gravity epiphany while talking to my 3-year old. The trail I am talking about is TIME! I suppose I must say that time does not exist either, just to be consistent. However, like my existance, I believe that time exists, but not as I normally perceive it. This insight will take a few posts to unpack, as will the following discussion about gravity. It should be interesting though... would you like a way to visualize time travel? Would you like to see how you can have predestination and free will at the same time? Be brave and read on.
I need to keep these posts shorter than my ones on existance, so I will make them into shorter chunks. Hopefully you will not run out of interest before you run out of text. This first one will introduce Flatland, then from there we will talk about a rain barrel, then about Adam, the hydra; then about time travel and changing the past. Eventually we will end up back at the Galactic Hologram, finally to Einstine's rubber sheet, and to gravity. Here we go.
As a graduate studant in Math at Colorado State University several professors mentioned a little book called "Flatland: A Romance of Many Dimensions" 1884, by Edwin Abbot Abbot an English schoolmaster. Even without reading it, the ideas excited me because they gave me a tool to visualize 9 dinensions! Say, what... how could that be? Well, you see, if I can be in 3 dinensions, and can under stand how a 2-D creature can visualize my 3-D world, that helps me to visualize a 4-D world... see? Then on to 9 or farther!
Here's the basic idea... Imagine a little 2-D sort of creature... I sometimes think about an amobea living on the surface of a pond... not perfect, but it is something I can see in my mind. Suppose he wants to build a house... what would it be? If we assume that he and his fellow creatures can not swin dowm from the surface or up into the air, then, all he needs is a little ring of algae stems with a little hinged one for a door! As far as he is concerned, when he closes that door he is completely safe and can not be seen or see out.
So, let's suppose he "gets up" in the morning and goes outside. Suddenly he is terrified to see a little black dot appear out of nowhere! then it grows into a hard, black disk. Of course he only sees a black line, but he is used to moving around an object to figure out it's shape. Then, it changes into a brown, fuzzy disk that grows and then into a red disk. Just as quickly, it goes back to the black dot and is gone. Scary! What he does not know is that I just put a red pencil down into the water near his house and then pulled it out. Stop a while and visualize that sequence in your mind... what does it look like to me. What does it look like to him?
That night I rocked his world... I put the pencil into his "house"... he did not sleep any more that night!
So, how would a Flatland Jesus walk through the walls? He would have freedom in other dimensions, so he simply goes up or down a bit, moves over the closed stem walls, and moves back to flat-D. Voi la! He is inside a locked door...
How would that look if I was a 3-D creature with a 3-D house and someone with freedom in time simply went "up" in time moved over inside my locked house and them came back to my time... are you getting it? Don't have nightmares. Nois
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