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Any nonlocal model assuming \local parts" conicts with relativity

Antoine Suárez

Published Apr 17, 2013• 0 citations
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Abstract

Center for Quantum Philosophy, Berninastrasse 85, 8057 Zurich,Switzerland/suarez@leman.ch(Dated: April 16, 2013)It is argued that any nonlocal model producing \local parts can be reproduced by \multisimul-taneity and therefore (because of [1]) conicts not only with quantum mechanics but also withrelativity. This result means in particular that the very structure of space-time (relativity) requiresinuences coming from outside space-time.

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•Sep 29, 2026•0 citations
Center for Quantum Philosophy, Berninastrasse 85, 8057 Zurich,Switzerland/suarez@leman.ch(Dated: April 16, 2013)It is argued that any nonlocal model producing \local parts can be reproduced by \multisimul-taneity and therefore (because of [1]) conicts not only with quantum mechanics but also withrelativity. This result means in particular that the very structure of space-time (relativity) requiresinuences coming from outside space-time.
The before-before experiment (Stefanov, Zbinden, Gisin and Suarez, 2002) showed that the coordination of two spacelike-separated measurements on an entangled pair carries no device-relative time order: each analyzer can be made to measure ``first'' in its own rest frame, and the correlations do not disappear, as multisimultaneity had predicted. The reading that survived, ``coordination from outside space-time,'' names an absence rather than a location. We ask where a carrier of that coordination — any physical structure providing the two wings with a shared outcome space at measurement time — could be located if the metric arena is a discrete substrate with a finite budget per node. Four constructions exhaust the metric options, and each is closed separately: a carrier the quantum pays for from its own energy (58 to 129 orders of magnitude short of the reference weight), one propagating at finite speed (strict light cone, spacelike antibunching, and the result of Bancal et al.), one statically wired into the lattice (clique, star and chain each unphysical), and one carried along with the quanta from the source — excluded not by counting but by Bell's theorem with the spacelike Bell tests. What survives is a carrier that is pre-existing, at graph distance zero from both wings, and non-metric. Two further results follow with separately stated assumptions. A device-relative time order would itself need a carrier of the excluded class; a universal order would not, and the substrate model used here has one. And a carrier compatible with no-signaling may be read out only through functions of the local reduced state, which excludes a shared table of outcome values but not the coherent amplitude that Bell correlations require. The result gives Suarez's Principle Q a restricted, computed form for one class of carriers. It claims neither the existence of a carrier, nor the immateriality of what lies outside, nor any deviation from quantum mechanics in the accessible regime.