Journal
SYMMETRY-BASEL
Volume 2, Issue 1, Pages 272-283Publisher
MDPI AG
DOI: 10.3390/sym2010272
Keywords
time symmetry; Hamilton's principle; classical field theory; quantum foundations
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Despite the widely-held premise that initial boundary conditions (BCs) corresponding to measurements/interactions can fully specify a physical subsystem, a literal reading of Hamiltons principle would imply that both initial and final BCs are required (or more generally, a BC on a closed hypersurface in spacetime). Such a time-symmetric perspective of BCs, as applied to classical fields, leads to interesting parallels with quantum theory. This paper will map out some of the consequences of this counter-intuitive premise, as applied to covariant classical fields. The most notable result is the contextuality of fields constrained in this manner, naturally bypassing the usual arguments against so-called realistic interpretations of quantum phenomena.
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