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Are two universes (4D) parallel to each other and need a 5D space to contain them? And the reason why?
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Parallel universes
- Thread starter Wikisource
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In geometry, Euclid's 5th postulate declares: "Given a line and a point not on that line, there is exactly one line parallel to the given line that passes through the given point." Parallelism is a characteristic of dimensional objects on a single plane where they can extend in all directions endlessly without ever intersecting. Lines are 1-dimensional objects, yet they require 2-dimensional space to exist in parallel. In a 1-dimensional space, there is no concept of parallel lines. In such a constrained coordinate space, every line is destined to overlap or coincide with any other line it encounters. By introducing a second dimension and extra direction of freedom, any points outside a single line can be extended in equidistance with no intersection. This idea can be generalized to describe the consistency of parallelism between all similarly dimensioned entities on a single plane. Let's visualize it.
As explained before, the two 1-dimensional objects (lines) require 2-dimensional space to exist in parallel. By extrapolating that reasoning, 2-dimensional objects (planes) require 3-dimensional space to exist in parallel. In the third diagram, we have a space-time continuum depicted as a line composed of endless static representations of 3-dimensional space extending to encompass past, present, and future states of a universe. Under this model, 3-dimensional spaces could exist in parallel, non-intersecting states when displaced across different time periods. This logic would work even under a space-like 4th dimension. And finally, 4-dimensional space-times would have to be displaced across a 5th dimension to maintain their non-intersectionality. Space-time is a model used in general relativity to define objects in 3 dimensions of space and 1 of time. When space-times exist in parallel, any object defined in the space of past/present/future must be confined to a single 4-dimensional plane (and of course, a timeline is infinitely long by default).
As explained before, the two 1-dimensional objects (lines) require 2-dimensional space to exist in parallel. By extrapolating that reasoning, 2-dimensional objects (planes) require 3-dimensional space to exist in parallel. In the third diagram, we have a space-time continuum depicted as a line composed of endless static representations of 3-dimensional space extending to encompass past, present, and future states of a universe. Under this model, 3-dimensional spaces could exist in parallel, non-intersecting states when displaced across different time periods. This logic would work even under a space-like 4th dimension. And finally, 4-dimensional space-times would have to be displaced across a 5th dimension to maintain their non-intersectionality. Space-time is a model used in general relativity to define objects in 3 dimensions of space and 1 of time. When space-times exist in parallel, any object defined in the space of past/present/future must be confined to a single 4-dimensional plane (and of course, a timeline is infinitely long by default).
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