# A Walk Through the Fourth Dimension

Doing all this thinking and research on the Five Points has me wishing I could see the area not just in one time, but several times.

If I could go back, or maybe restore parts of the past, which would I choose? Perhaps the 1890’s in the last days of the 24 Baxter distillery building. Or maybe before the bowling alley was added, like in Riis’ photo, and then we could pick up from there and fix the whole area up. (I could picture a Fairway looking good in the building, and why not go far enough back so the main Old Brewery would be apart of it as well). Maybe even earlier, when it was all the little gable houses, or maybe leave the Collect Pond in place and build around it. Lower Manhattan would then resemble a Florida city like Orlando, with the downtown lakes.

But it would also be nice in the last days of the neighborhood, like that last new Mission building photo, when it probably resembled the Village across town with all the turn of the century larger tenements (including the ones that replaced the distillery).

Don’t even get me started on Norfolk. Downtown looks nice now with the Tide, MacArthur Mall, and Waterside Dr., the suburban looking new Huntersville, but old Main St. looked interesting as well, and the old Huntersville could have been fixed up into a nice looking old neighborhood.

With the actual timeline laid out as the fourth space dimension, we could have them all, at the same time!

(Remember, “time” and “space” are both media of displacement of objects and events; just that time is the direction of entropy, where one event causes the next, while space is a random access connection between objects relative to one another in multiple dimensions; i.e. you can go back and forth between points and measure the displacement with a fixed ruler).

So it has me thinking what it would be like if we could walk back through passed time as the fourth dimension.

When we talk about the “fourth” dimension, first, we number specifically the other three. Whichever dimension you are in, you must start with **“back and forth”**. You have to be able to look *“ahead”* into your dimension. So what we call **“depth”** is actually the __first__ dimension.

The next fixed dimension for those anchored to a gravitational body is **“up/down”** or **height**.

So **“left/right”** or **width** is the “third” dimension; a sort of “extra” degree of freedom we have.

So if a Flatlander on a board could rotate to look out into our dimension, only his “depth” direction would change. (It would match ours, as we look at him at a perpendicular angle to his entire space).

Up and down would still be the same.

So likewise, if we could rotate into the fourth dimension, __only our back and forth would change, and both up and down and left and right would be the same__. (Rotation about a plane rather than just a line). If we didn’t move off of the hyperplane, one 2D slice of us would still be in the same slot, and one 2D slice of the rest of the universe to the right, left, above and below us (looking like a 1D line in each of these directions), would still be in those same positions from our perspective. By themselves, they wouldn’t be visible, because we would see them as having no thickness.

Now, if we were to lay out the timelike world line of the universe as a fourth spatial dimension we could walk through to reach other times, then as we look through the new dimension (“ahead” or “forth” of depth becomes the past), __the 2D slice of the universe would smear out into the distance__. Sort of like the older versions of Windows, when a window or application hangs, and you try to move it, its borders (or graphics, even text, etc) sweep out this 2D field of endless copies of itself.

Each “copy” of the image piled onto the next represents each instance of time.

Perhaps now it would be visible, though it would still be hard to make out what you’re looking at, since it’s just a smeared out 1D image for each direction. You would just see smeared out colors.

If you were in a room, it would become an endless tunnel. If you were outside between two walls or other large objects, it would look like you were in an endless ditch, with the sky above you, and whatever clouds were right overhead stretched out.

You would lose the ability to see into 3D objects (as you would have if you were looking at them from hyperspace and they had no hyperthickness) because the swept out surfaces would cut off your vision just as if you were still in 3D. The extended boundaries would now be able to enclose 4-space, at least in the immediate area.

If you then began walking into the direction representing the past, you would eventually see the smeared out surfaces around you end; when you reach the distance representing the time they were formed or at least moved there.

That would be the only place where you could look around the surface and see inside of the objects.

All of this is assuming we are still 3D, with 3D vision projected onto 2D retinas. If we were 4D, with 3D retinas, then each 2D slice of the universe stacked into the distance would still have the third dimension attached to it. This would be aligned in the new dimension.

So of the four dimensions visible, height and width would still be the same, depth would still be “past”, and now the fourth dimension would be what was originally depth; meaning the direction you rotated out of to turn toward the past.

As you walked, you would still pass each 2D slice for each instant of time, and for each one, you would also see the distance that was in “front” of you in this space regress. It wouldn’t be directly approaching or receding; you’d only be “passing” it, like the other dimensions.

Also think what it must be like to be in the act of rotating. As only your “forward” is changing, you see objects appear to get further away, as you’re looking at them further along the new dimension (past or future). They appear to reach the horizon, and then you see the other two dimensions form the “tunnel” or “trench” as mentioned, as you’re looking only at their history, totally parallel 0° in the new dimension.

So this is what 4D existence would be like. I use time, because it gives us something familiar to “fill” the new dimension with, so we could get the idea of what vision and motion through it is like.

The remaining problem with experiencing free motion through time as 4D like that is that 3D would not look the same. It would become an infinitely “thin” membrane in the new visual matrix, so we would always see the hyperspace “around” it. And then, the near impossibility of aligning ourselves perfectly with one particular “brane” of an instant; let alone staying there.

(I always say it’s just as difficult to visualize true 2D vision as it is for 4D!)

The eyes would have to have some mechanism to shut out the extra dimension, and the both the body and the fabric of space would have to have something to anchor one to a particular instant.

An actual game with rotation into the fourth dimension (and a comparison with a 2-to-3D analogy):

http://kotaku.com/how-to-walk-around-walls-using-the-fourth-dimension-1627602530

http://marctenbosch.com/news/2014/08/new-trailer-how-to-walk-through-walls-using-the-fourth-dimension

On my regular space, I had come up with an idea that the inertial frame of reference for the speed of light generates an additional dimension, as the dimension you’re heading in collapses to zero. In that “proper time”, light would still not be at rest, but rather still pass you at the same speed. So whatever direction that is, must be something beyond our dimensions.

It seems the consensus in math was that this was undefined. Now, on these sites:

http://wtamu.edu/~cbaird/sq/2014/11/03/why-is-time-frozen-from-lights-perspective/

https://physics.stackexchange.com/questions/148860/if-a-photon-is-exists-in-timeless-state-how-can-objects-around-it-move

“This answer hits upon the facet I like: That a photon never moves. From its perspective there was no spatial distance along its path, and it took no time to get from one end to the other. Like it is a point in a higher dimension.”

https://physics.stackexchange.com/questions/29082/would-time-freeze-if-you-could-travel-at-the-speed-of-light

”

https://physics.stackexchange.com/questions/264929/if-a-photon-has-no-mass-why-doesnt-it-have-infinite-speed

“The speed of light c which we are talking about is not a property unique to light. It’s just that the velocity c is the speed of causality as explained in the YouTube channel PBS space-time(By the way, it’s a cool channel, do check it out). So anything with no mass travels with the speed of causality which is c.”

“c in our universe happens to be finite and has to be measured to see how much is it in our universe… although, quite a lot of phenomena would severely break down if it were infinite. For one, there would be no wave optics. No Maxwell equations. There is a large gap between large but finite, and truly infinite.”

https://physics.stackexchange.com/questions/235302/why-is-the-speed-of-light-exactly-299-792-458-m-s-and-not-faster-or-slower

https://www.researchgate.net/post/Relativity_of_Space_At_speed_of_light_space_becomes_zero

This one asks “would an object moving with the speed of light not be at the same time at every place if all distances become zero? If so, why is ‘light’ not everywhere, but still has a definite velocity and direction?”

I likewise also wondered then how if the frame of reference doesn’t exist, then how could the wave be able to vibrate in space, and also change direction and even speed if refracted, reflected, or passing through different mediums. A photon going from the sun to the end of the universe, and another one bouncing off of the moon, or arriving on earth, and bouncing around through the sky, and off a mirror and several walls before entering our eye all experience the same zero time and space! But this was essentially treating light as a particle only.

This site makes a point I alluded to on the other page, about how waves transmit through different things (like the image of something moving across a pixel screen, where the elements are not actually moving, but simply

transmittingacross a medium).http://www.physicsclassroom.com/mmedia/waves/em.cfm

https://www.scientificamerican.com/article/why-isnt-the-speed-of-lig/

I think this may answer the question for me, of why “infinite speed” as the technical “proper time” of light doesn’t match up with an infinite speed in coordinate time, and what has made 186,282 miles per second the top speed, which is incredibly slow given the size of the universe.

http://zidbits.com/2011/05/why-cant-anything-go-faster-than-the-speed-of-light/

“One should think of the speed of light as ‘infinite speed’. A common misconception is thinking the speed of light is just like any other finite speed. The speed of light is only finite from the perspective of the outside observer; from the perspective of a photon, it’s infinite. If you move at exactly the speed of light you could go anywhere, no matter how far, in exactly zero seconds.”

http://www.askamathematician.com/2011/07/q-does-light-experience-time/

If light can be slowed down by passing through matter, matter consists of strings in a particular vibrational pattern, according to string theory. But then spacetime consists of strings also. We’re accustomed to thinking of space as “nothing” (especially given terms like “vacuum” and “void”), but it really is “something”. In other words, a “vacuum” is not totally a vacuum; space itself is a kind of “fabric” (after all) according to this theory!

Perhaps it’s simply the spacetime strings themselves that limit how fast anything can be propagated/transmitted through them, just like the strings comprising matter reduce the speed further.“Infinite speed” would only be possible in the hypothetical “primeval realm” the strings are imbedded in, which is not even space, but has been compared to “matrices”. A matrix, if I’m understanding it correctly, would be like a game of chess written out move by move, where you identify the piece you’re moving, it’s direction and thus the square it will land on (which all have names/numbers), without actually moving pieces across a board. That eliminates the spatial aspect of it. Now, if you also write the chess steps out of sequential order (and perhaps organize them another way, like alphabetically), that would undo the time element.

Already, this would match what I described for the hypothetical photon perspective above, where every photon emitted travels different distances and trajectories but since [coordinate] space and time for them are zero, then it’s like all that could be done in their perspective is define a coordinate representing their path, and then it’s instantaneously there. Think of the sun or any other light source with every point at every instance of time marked with a space-time coordinate the light emitted from that point in space and time will end up (which is pretty much already predetermined from that perspective), and it instantly is there. That is basically the “frame of reference” of light. (And also represents the hypothetical “lightlike infinity” marking the diagonal borders of the Penrose diagram).

The speed of light is not an inherent property of light (especially since it can slow down and even stop!) but rather of the spacetime strings themselves. As mentioned above, it’s the maximum speed of

causality, which is basically the effect one string’s energetic (vibrational) state can have on another. As the PBS “Space Time” video “The Speed of Light is NOT About Light” puts it, it’s the fastest speed any two parts of the universe can “talk to each other“. Seen this way, it now makes sense why this would be finite (limited in how fast information can be propagated across these elemental nodes of spacetime. There’s also this notion string theorists talk about, regarding particles far away being “connected” somehow, so that instantaneous events occur between them. I never yet fully understood this, but it obviously is not describing information transmitted across regular space).So I came up with a

hypothetical(notpractical) idea of what must happen to the environment around an observer at the speed of light. I did say there that it essentially is zero, from our perspective. But for one thing, since coordinate time also collapses to zero from the light perspective, you would also need another dimension of time this is occurring in (which I had forgotten about).It seems like the only “frame of reference” for a photon would be the direction and the final end point and time, not as an actual distance or duration (since that’s all collapsed into nothingness at that speed), but rather simply plotted in the form of a matrix. It seem the fundamental constant is itself a form of this “primeval realm”. (And it’s the same thing as there being a cosmic limit to size, beyond which, space breaks down into the primeval realm).

Thinking about this more; here’s how I think the speed of c works:

I liked how the video I referenced above put it in terms of, that locations in spacetime “communicate with each other” (communication is “instant” [and all locations compacted into one point] in “c” proper time, but not coordinate time. So spacetime “addressing” is itself not determined by proper space and time, and is probably more “matrix”-like, like the sub-Planck “primeval realm”).

So we should then go all the way down to the fundamental units of space and time; the lengths below which reality breaks down:

Planck length=10

^{-35}mPlanck time=10

^{-43}sc=10

^{-35}m per 10^{-43}sEach superstring represents one point in space and time. You may have heard that “we can’t ‘drop anchor’ in the universe” and define a definite point in space”; but that’s when plotting by the three coordinates of space

only, and leaving timevariable.That’swhat you can’t do. That then is what you have to take into account relativity, and ask which frame of reference you’re looking at.A string has no “world line”; it only can be plotted in one “instance” of Planck time. When one instance passes, then it is essentially “replaced” by another string. The location of that string in space of course is determined by the relative frame of reference of the one observing it.

“Speed” is only a determinant of relative change of position in space between two observers. So if you could take all of space, in one instant of time for a particular frame of reference, then two objects will have a definite number of strings between them. If they’re a meter apart, then there will be 100 decillion strings between them, which is 10

^{35}. Motion is determined when if in the next instant of time, that number increases or decreases. You can’t determine which object is at “rest” or not, and you may even have differing views of the measured “distance” between them, but there will be a different number of strings, representing a changing distance, as each instant of time passes.(Even though an increasing number of strings inbetween each string cannot be determined in each passing “instance” from within the spacetime continuum, but is implied in the time it would take to make a trip back and forth between the observers at c.)

Matter and force “particles” may simply be vibrations passing from one string to the next. Each passing instance of time represents a “move” (think chess/checkers) which could be to an adjacent string in time, or in space, but with a limitation.

So c is perhaps created by two rules:

1) Motion (change of relative string position) can only occur over time (a vibration can only occupy one string per vertical row i.e. space dimension). If time (vertical on the Minkowski diagram) is not traversed, the object is frozen in time and can’t move.

2) Strings in cannot be jumped over. Motion of vibrations must always pass through adjacent strings.

Either case would then make any trajectory of y<x impossible. That would mean

all FTL travel (even if more than 0° to the horizontal on the diagram) would actually have a segment of technical infinite speed; being more than one point of space at a time. For a vertical line, you can move through time without moving through space (that is, in your own frame of reference), but then this again is not defined, as other frames of reference will see you as moving.So the universe having a "maximum [finite] speed" is tied to it having a minimum [nonzero] length and a minimum duration.

Of course, this is in

coordinate time, which is simply a frame of reference where. Proper time, youa number of observers all relatively agree on a common frame of referencecanaccelerate faster than 186,000 miles per second, and then you’ll also find that you can have lengths and time smaller than the Planck units, as both space and time shrink toward zero. C then would be the hypothetical “infinite speed”, in which you would travel any length in no time. This would also make all lengths basically infinitesimal.On our graph, if for every “move” you must always advance at least one instance of time and stop at every point in space you cross, then the y=x trajectory of coordinate time basically amounts to y=0x in proper time. One string over and one “up” is for all purposes the next one “over” as if you weren’t going up. More than one string over is something that doesn’t exist in your frame of reference for to communicate with that point would amount to being two places at the same time.

So really, outside of the light cone; the so-called “elsewhere” really doesn’t exist to us. We can think of the sun “right now”; eight minutes before the light it emits at that time reaches us, but that is really assuming that it’s still there, and nothing has happened to it since the rays we are receiving now left it. What we’re calling “right now” on the sun or anywhere else in “elsewhere” is really

futureto us. Then, after the eight minutes pass and we see the light from it still coming to us, we can then think back to eight minutes in [what has then become] our past, when we know the emission occurred, and project this back as what was “right then”. Our “light cone” at that time has expanded past that distance, and the information received is now present. This is why Rudy Rucker says “elsewhere” is really like a “smeared out ‘now'” (Fourth Dimension, p. 157).Every point in space-time; every string, can be thought of as existing in its own universe, where it’s the only thing that exists. The other strings in space (which are all outside of the light cone) don’t exist. Even within the light cone, the past array of strings is gone, and the future array of strings hasn’t occurred yet. Each string has an expanding field of strings it can influence in the future, and a contracting field that could have influenced it.

To move along that boundary is to remain in a frame of reference where you’re always “next to” coordinates that

. So there’s no “ahead” of you in space (it appears as if you’ve reached infinity), and therefore, since you’re moving also no ahead of you in time (since it takes infinite time to travel infinite space).do not existfrom the vantage point of the starting stringAlso, we can see by comparing frame of reference grids how the translation back to coordinate time (where both the observer and the relativistic traveler agree that all spacetime coordinates have been passed by the traveler; nothing skipped over, or no different path seen by either) is what compressed the dimensions of an increasingly accelerated proper time. At c, the length and time collapses onto the world line itself, which is the 45° hypotenuse of the triangles formed by the coordinate time bisected square representing one Planck length. So the proper Planck length and time fold down to ½√2 and thus not zero itself, but the parallel coordinates have all collapsed onto the world line as well

Still trying to come up with a better understanding of why the proper space and time of c is 0.

I guess you can think of each string as transmitting the vibrational information, having ten dimensions, one being uni-directional, in which it receives its information from one direction, and passes it on in the other (time). Its length is measured as 10

^{-43}seconds. Nine dimensions will be bi-directional, in which it can receive and transmit in either direction, or, depending on what event the string is apart of, even send the information back the other way (space). They are measured 10^{-35}meters. Six of the dimensions are where the unification of the fundamental forces occur via different vibrations, and there are no other strings to pass information along to in them. The remaining three are the ones through which the other strings lie. On a “macro” scale, of “coordinate” spacetime, we then see these as “large” space dimensions with random access coordinates containing much matter, energy and “events”.The overall “matrix” must contain the addressing of the strings; i.e. which one will have the information passed to it by the other (depending on the direction). Each particular string receives a vibration from another string, in the previous Planck time unit, and in one of the space directions. So this information packet would include the basic energy, mass, spin, charge and direction. The E=MC² determines where it will go next, with the velocity tied up in the e/m equation “c” is basically the spacetime dimensions of the string itself. the energy/mass equation will determine how fast the information is passed through. If it’s an energy packet with a mass of zero, it will pass through with the minimum amount of time the string can pass information through, based on its length. It still won’t be able to communicate with the “next” string in the same instant.

We determine speed by back and forth communication between points we are getting closer to or further from. We observe light coming from basically behind or beside us going to the objects at those locations, then bouncing off and returning to us; and thus see them getting bigger or smaller, and this is as time passes. Light passed over to us from an earlier string (the point where it was emitted or reflected by the object), which itself came from an even earlier string in a different direction; all passing through multiple strings in multiple time units tells us where we are in relation to the object. At c itself, this is impossible; while light can still come at us from ahead, it can’t have come from behind or beside us in order to be reflected back to begin with. So the only other location you can transmit to is the one in the next instant in the direction you are heading in (which doesn’t exist yet for the duration of the string, so it can’t transmit anything “back” to you).

This makes it seem instant; and once you reach that one, it will be the same instantaneous transmission beyond that point. And so it will seem you have reached the end of space and time.

Otherwise, With mass, the information will be delayed in passing through, and from that frame of reference, there can be communication with multiple points of spacetime. However, as the velocity increases relative to other objects, then the number of points you can communicate with will decrease, and thus space and time will appear to shrink.

Watching Brian Greene’s video on “the B-Theory of Time”, which is the one he describes as likening spacetime as “loaf of bread” sliced different by different observers, and people asked about free-will, I decided to comment:

Since every event has a cause (including the neurological action that determines our perception and decisions), and also an effect, that is one way we can think of the future being set. It doesn’t seem like it because we can’t see every single factor that will come together to create a future event (including how we react to it), but it’s all out there now, coming together. If you view spacetime as a matrix of strings, embedded in a spaceless/timeless “primeval realm” Brian discusses in Elegant Universe, and each string, being one Planck length by one Planck time unit, and transmitting the vibrational information from one to the next (which as stated above, is what would limit c to a finite speed), then

perhaps it’s our neurological processes advancing through the progression of the transfer of cause and effect that gives us our perception of the flow of time. Perhapstime can be defined as the dimension of(where space is simply the random access coordinates).the transfer of informationOf course, the free-will debate is what crosses over to the religious world, and while this will not really be a problem for those Christians known as Calvinists, who deny free-will, at least as far as salvation (our decisions are set, but God still “holds us responsible” in condemning men for their sin), Arminians will see this as nullifying the whole concept of salvation.. However, I have learned, they should realize the Calvinist and ultimately Augustinian roots of their doctrine of salvation, and that they have simply reintroduced free-will because the notion of unconditional election and “reprobation” were too “hard” a doctrine. It’s true that that eliminates any semblance of “good news”, but the scriptural answer is to realize that the New Testament was written in a transition period between Law and complete Grace, which ended in their generation; and after which was “the Blessed Hope”.

Also another point from the whole matrix idea, above, and why travelling along the borders of the light cone flattens space and time to zero, we must remember that you’re only traveling the light cone boundary (y=x) from the perspective of an observer. In light’s own frame of reference, as all frames of reference, it would still be moving along the y=0 axis, with the entire universe (both its coordinate space and time dimensions) moving the other way along the border of its own proper “light cone”. Relativistic distance (and its change through time) can be determined by the two frames of reference exchanging light rays, by one bouncing them off of the other, and watching the time difference. But at the c frame of reference, in order to bounce a photon off of any point in the receding universe, you would have to send it at the same point you cross paths with the universe, which is basically at your starting point, and the photon would pass through every point in the universe’s “here/now”, along the c “light cone” boundary”, and thus could “bounce back” from any point in the universe. That means all the universe’s points of space and time have collapsed into a single point, moving away from the c traveler along y=x.

I had determined that the y axis in this case must represent a totally different space dimension, at which the photon is hypothetically at “rest”. Even if such a dimension is not extended, it would be the hypothetical “direction” in which light is failing to move.

Speaking of “frames of reference” still pre-supposes the frames of reference should be different to begin with. It’s not showing how this non-zero string matrix creates a zero space and time frame of reference for the fastest trajectory.

But it would lie in the energy/mass (and by extension, velocity) information being passed along. Items with energy but no mass are basically set to be passed along at infinite speed, for

that instant on each string is all the time there is and thus the same thing happens in every other string in its path, which then are all passed through instantaneously. Therefore, they would see themselves moving through a zero length space in zero time. It’s in coordinate time, where we see all the space laid out one next to the other, and time “flowing” sequentially that the limitation of the non-zero strings kicks in, and so it takes time for it to cross from point to point.