Locality and probability in relativistic quantum theories and hidden variables quantum theories

• URL: http://arxiv.org/abs/2503.12967v1
• Date: Mon, 17 Mar 2025 09:23:52 GMT
• Title: Locality and probability in relativistic quantum theories and hidden variables quantum theories
• Authors: Avi Levy, Meir Hemmo,
• Abstract summary: We show that a Lorentz invariant and contextual theory must be genuinely, i.e., it cannot have a deterministic (strong or weak) hidden variables model.<n>We also show that Bell's definition of locality is equivalent to non contextuality (or strong determinism)
• Score: 0.03153427165101552
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We define criteria for a hidden variables theory to be Lorentz invariant and prove that it implies no signaling. As a result, we show that a Lorentz invariant and contextual theory (e.g., quantum field theory) must be genuinely stochastic, i.e., it cannot have a deterministic (strong or weak) hidden variables model. This proof is an improved version of a theorem we proved previously, and it has a wider scope. Finally, we show that Bell's definition of locality is equivalent to non contextuality (or strong determinism). We propose an alternative definition of locality for contextual and relativistic theories according to which quantum field theory is local.

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