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Persistence and Spacetime$
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Yuri Balashov

Print publication date: 2010

Print ISBN-13: 9780199579921

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199579921.001.0001

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Coexistence in Spacetime

Coexistence in Spacetime

(p.131) 6 Coexistence in Spacetime
Persistence and Spacetime

Yuri Balashov (Contributor Webpage)

Oxford University Press

Any view of persistence must incorporate an interesting—neither empty nor universal—notion of coexistence. Such a notion is easily available in the classical context. Can the interesting notion of coexistence be extrapolated to Minkowski spacetime? To the extent that this is possible it requires certain adjustments in the notion. The need to make the adjustments reveals two distinct strands in the “intuitive lore” of the coexistence relation. They work together in the classical setting but come apart in the relativistic context, thus giving rise to two different sets of rules associated with the use of the interesting concept of coexistence. Which of them, if any, can claim the title? The chapter defends the concept of Coexistence As Sharing a Hyperplane of simultaneity (CASH) against a rival account recently developed by Gibson and Pooley and based on discus‐shaped double light cone regions (“Alexandrov‐Stein regions”).

Keywords:   coexistence, Minkowski spacetime, CASH, Alexandrov‐Stein regions, Gibson, Pooley

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