The Black Hole in a Spatially Compact Spacetime

[Perspicacious]

Main Question or Discussion Point

The last paragraph of http://arxiv.org/PS_cache/physics/pdf/0006/0006039.pdf [Broken] states this conclusion:

Thus in Friedmann–Lemaıtre universes, (i) the expansion of the universe and (ii) the existence of a non–trivial topology for the constant time hypersurfaces both break the Poincare invariance and single out the same “privileged” inertial observer who will age more quickly than any other twin: the one comoving with the cosmic fluid – although aging more quickly than all her travelling sisters may be not a real privilege!

See these references also:

http://physics.ucr.edu/Active/Abs/abstract-13-NOV-97.html [Broken]
http://www.everythingimportant.org/viewtopic.php?t=79
http://cornell.mirror.aps.org/abstract/PRD/v8/i6/p1662_1 [Broken]
http://arxiv.org/PS_cache/gr-qc/pdf/0101/0101014.pdf [Broken]
http://arxiv.org/PS_cache/gr-qc/pdf/0503/0503070.pdf [Broken]
http://www.everythingimportant.org/viewtopic.php?t=605
http://www.everythingimportant.org/relativity/simultaneity.htm

I'm delighted that common sense is finally being recognized in the physics community. When do you think it will be realized that an absolute time order precludes the possibility of anything falling into a black hole?

 

[pervect]

Note that local invariance is intact - it is only global invariance that's at issue.

 

[Perspicacious]

I'll make this a question

How are you going to evade the equation for proper time in a gravitational field being directly comparable with the topologically distinguished, universally applicable background time that characterizes spatially compact spacetime? Take the spacetime cylinder for example. All observers agree on the simultaneity of events. Clock rates everywhere, in this instance, are all physically tied together. Why should a global sense to the order of all spacetime events for all observers miraculously disappear in a spatially compact universe if we were to add the extremely faint gravitational field of an electron to it? Let the radius of the electron shrink to zero. At what step in the limiting process does the universally agreed upon cosmic everywhere present "now" suddenly disappear?