it doesn't have to be infinitesimal in depth it simply needs to be perfectly uniform throughout it's depth such that it is [/i]functionally[/i] 2d. In any case I don't understand why it would be infintesimal time if we are talking about something analgous to an animated 2d image.
I had them operating along different time axis in every case but in the special case of a simulation there is only one 'real' time dimension and the 'time' dimension in the simulation is only apparent as such to the inhabitants.
I think you are assuming that where an additional dimension is concerned and environment that does not include that dimension must be of 0 dimensions with respect to it, but really it only needs to be totally uniform with respect to that dimension.
I think you are assuming that where an additional dimension is concerned and environment that does not include that dimension must be of 0 dimensions with respect to it, but really it only needs to be totally uniform with respect to that dimension.
As a side note, totally uniform would seem to preclude any communication, but that deduction isn’t strictly related here.
We can appear to share all 3 dimensions (including time) used by the 3d environment of the side scroller game and it is not in any way infintesimal or inobservable to us, but by displaying the output in a different way and removing the need for input from such a side scroller, the entire thing could be viewed as a static unchanging set of information with no 'real' dimensions whatsoever. If the program was sophisticated enough to include snetient beings who operate within the simulated environment they too would appaer as static unchanging sets of information but might nonetheless be sentient within their simulated environment.
To simplify, imagine you have a pencil. Is it 3d or 4d? Common sense tells you that it’s 3d, but then time as we perceive it has an effect upon it, both on the quantum level (charge and spin) and on the relative level (one end of the pencil is subject to a different relative time to another because of different relative position in the universe). It is a 4-dimensional object.
It is possible that special relativity would not apply to measurements made between two points separated only by 5th dimensional space.
Yes it certainly would require such advance knowledge. but it would be possible for God (if arbitrarily intelligent) to know all that in advance if our environment were totally deterministic from his point of view. And in the case of a simulation in particular, it certainly could be.
In the example of the twin paradox, the 5th dimensional observer simply has access to an absolute frame of reference.
In fact i think brain in the jar ideas are just a special case of this broader notion of perceived reality existing within an almost totally unrelated 'actual reality'.
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