Following my comments to Alex at the blackholes forum (post:"definitions can be wrong"):
Regarding "e = m c squared"; it appears that energy is hypermass; that is that mass is a lowerdimension view of energy. To put it another way: flatland "energy" is cubeland "mass".
'c squared' in flatland would be 'c' in cubeland. ' Pi' is possibly the interdimensional transformation constant concealed within 'c', 'c squared', ' c cubed' , 'c to the 16th power' ,etc.
Regarding "futures repel"; and pasts attracting; I am not so sure that pasts attract. You can no more have two pasts than two futures. However, past attracts future. Also: pasts and futures in "flatland" are at a different level to pasts and futures in "cubeland". You can have two pasts if one is a flatland past, and the other a cubeland past. Same with futures. In fact; the comparison between a "flatland past" and its synchronised "cubeland past" gives you a third "synchronization past". This attracts a similarly configured "synchronization future".
A phenomenon maybe involves a "threeway musical chairs" patternmatching jumpscenario between levels of dimension; an interdimensional relativity.
So time has three dimensions; not surprising as "time" is in practice "reference space".
Seeing around 'corners' in time:
Consider: what does flatland look like to a flatlander? My sister's 11yrold son noted that a flatland person on a sheet of paper would only see his neighbour as a line.
So I thought: but we live in cubeland; we should see objects also from a reduced perspective for the same reason; as flat objects. And we do; except that we recognise the meaning of certain lines coming together as 'perspective', so we can visualise a 3D cube.
Similarly, a flatlander notices that parts of his neighbour appear darker than others, giving him a visualisation of the flatextent of his neighbour.
Further, we have stereo vision, we superpose two different flatish views of an object, and our brain reconstructs the true 3D experience of our 3D world. Similarly, a flatlander may superpose two angles of his neighbour. His superposition of two views; each having light/dark areas due to various distances of different parts of an object, allow the flatlander to visualise the true flatexperience of his flatworld.
Now, suppose you were in 4D land. The equivalent of a flatphoto in 3D land; would now be a 3D object. Now, the view of the hypercubelander of nearby hyperobjects would be reduced a dimensionlevel. This is just what happened with the cubelander looking at cubes, and the flatlander looking at squares. But the hypercubelander would notice "perspective" that indicates the hyperaspect of the merely cubicimages on his cubicretina, so to speak. Further, if he had the hyperequivalent of stereo vision; he would superpose two different hyperangles on the nearby objects. Thus his brain would deliver him the true hypercube experience of his surroundings.
4Dvision would allow "seeing around corners" of the 4D objects thus fully appreciating them: just as we "see around corners" with our stereo vision of 3D land.
How would 3Dspace look from a flatland perspective? You would still reconstruct the flatland experience of the object via your flatstereo vision. You would also experience a sense of continuous sequential or linear change in the flatobject as you scanned it; because it is really a cubeland object in flatland. Just as we experience a sense of continuous sequential or linear change when we scan a hypercube in our space. This sense of linear continuous change one might call "time", as that is how we experience time (for the moment).
But of course, the sense of linear change that a flatlander noticed when scanning a cube; is giving him a misleading view. If he had a higher level of vision, he could see all the cube, seeing around corners in flatland, seeing the localised pastfuture scan pattern of a particular object. He would be "seeing around corners of time" so far as his scan of the cube he encountered in flatland is concerned.
Note he would not see all the future in his world; only the local pastfuture represented by a scan of the cube. He would experience a higherdimension of time, where various pastfuture objects (cubes) can be arranged in highertime.
Our experience of time is similarly misleadingly linear and sequential; if we could have a higher level of vision; we would see objects in our world from a hypertime perspective; we would see around corners of time for the particular objects. We would experience a higher level of time; where localised pastfuture hypercubes could be arranged in patterns of sequentially experienced hypertime.
What pattern relationship is retained as you increase dimensions? When one knows what this is maybe one can figure out higher dimensions.
Lineland: a linelander sees a square as a line, with the other three sides collapsed thus: the two vertical sides are concertinered into each end of the lineview, and the top of the square is superposed along the middle of the lineview.
The linelander might think he just sees a 1D object with 1collapsed D; and call it 2D; but actually it is able to be regarded as 1D plus three walls of 1D giving four exchange options (the linewalls of the square can take turns at occupying the baseline).
Flatland: a flatlander sees a cube in flatland as a square with the four vertical faces concertinered into the four lines of the basesquare, and the top face of the square superposed on to the base square.
The flatlander might think he sees a 2D object with 1collapsed D; and call it 3D; but actually it is able to be regarded as 2D plus five walls of 2D giving six exchange options (the squarefaces of the cube can take turns at occupying the baseface).
Cubeland: a cubelander sees a hypercube in cubeland as a cube with six hyper'vertical' cubicfaces concertinered into the four faces of the basecube, and the hypertop cubeface superposed with the base cube.
The cubelander might think he sees a 3D object with 1collapsed D; and call it 4D; but actually it is able to be regarded as 3D plus seven 'walls' of 3D giving eight exchange options (the cubefaces of the hypercube can take turns at occupying the basecube).
If the hypercube represents our view of a cube in time; we have arrive at ten thus: one 3D plus 7 walls (of 3D). We have eight exchange options (for Lorenz transformations). We have 3D plus 1 set of collapsed Ds giving a kind of 4D. "Metahyper Lorenz transformations" between two hypercubes meeting each other would give an apparant 11D. All this suggests that 10D and 11D string theory might be replaced by interdimensional metarelativity; from which both theories might be derived. The patterns in Mtheory and Ftheory might also be obtained, given the notion of "seeing around corners in time" via hypertime.
dolphin
