Physically reasonable spacetime?
In communications with mathematicians about the purely theoretical
possiility of mutually canceling spacetime / anti-spacetime pairs, I
learned from a topologist that with "groups of homotopy spheres", one
could "patch one exotic sphere into an ordinary slab of spacetime,
producing an exotic slab of spacetime. If this slab were followed by
one with the inverse (anti) sphere patched in, the result would be a
topologically ordinary slab of spacetime."
These exotic spheres exist in dimensions 7 and higher. It was unclear
whether such manifolds were suitable for actual physics.
So, I ask here is it possible that such spacetimes could support
physically reasonable cosmologies? Or if not these, has any
work been done on other kinds of physically plausible pairings
of manifolds?
.
Relevant Pages
- Re: Rotations in spacetime
... Now we can have any kind of direction through spacetime, ... yet there are areas of standard physics which may support this model. ... suggests a shell model for the atom since the atom with all its mass ...
(sci.physics.relativity) - Re: What Does SR stand For?
... just look at the experimental evidence for space and spacetime being ... is solid evidence for the physical existence of spacetime. ... with the equations of relativity. ... But neither did classical physics tell us that and "Ether" theory certainly ...
(sci.physics.relativity) - Re: Aether is the empty space in which the Universe sits
... Holism and Nonseparability in Classical Physics ... This separability extends also to their dynamics if the ... forces arise from fields defined at each spacetime point. ... energy of its constituent molecules permitting each to overcome the ...
(sci.physics) - Re: Aether is the empty space in which the Universe sits
... Holism and Nonseparability in Classical Physics ... This separability extends also to their dynamics if the ... forces arise from fields defined at each spacetime point. ... energy of its constituent molecules permitting each to overcome the ...
(sci.physics.relativity) - Re: Im confused about signs.
... If all of physics is built ... I do believe that the reliance upon the real number as a basis (e.g. ... 4D spacetime is RxRxRxR) is a mistake. ... http://arxiv.org/pdf/hep-th/0506053 (Relaxing to Three Dimensions) ...
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