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Article overview
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Constraints on Chronologies | | Alfred Shapere
; Frank Wilczek
; | | Date: |
19 Aug 2012 | | Abstract: | The time ordering of two spacelike separated events is arbitrary, when all
inertial frames are taken into account, but for three or more events it is not
generally so. We determine the structure of possible time orderings, or
chronologies, for multiple events in any number of dimensions, analytically and
exhaustively for three events in four space-time dimensions, algorithmically in
other cases. We also formulate an alternative criterion, based on convexity,
for determining the allowed chronologies of a set of events. We show how the
metric of a Lorentz invariant spacetime can be partially reconstructed from a
knowledge of the chronologies it supports. Finally, we propose a different but
related criterion for allowed chronologies in curved spacetimes. | | Source: | arXiv, 1208.3841 | | Services: | Forum | Review | PDF | Favorites | |
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