Causality implies formal state collapse

Details Causality implies formal state collapse Causality implies formal state collapse

2002-07-31

arxiv.org/abs/quant-ph/0207180v2

Found.Phys. 33 (2003) 641-655

Physics

Quantum Physics

As accepted by Foundations of Physics. No essentially new results. Some more discussion, and a new reference. LaTeX, 17 pages

Scientific paper

A physical theory of experiments carried out in a space-time region can accommodate a detector localized in another space-like separated region, in three, not necessarily exclusive, ways: 1) the detector formally collapses physical states across space-like separations, 2) the detector enables superluminal signals, and 3) the theory becomes logically inconsistent. If such a theory admits autonomous evolving states, the space-like collapse must be instantaneous. Time-like separation does not allow such conclusions. We also prove some simple results on structural stability: within the set of all possible theories, under a weak empirical topology, the set of all theories with superluminal signals and the set of all theories with retrograde signals are both open and dense.

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