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Quantum Relativity: Physical Laws Must be Invariant Over Quantum Systems

Paul Merriam
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Abstract

Decoherence may not solve all of the measurement problems of quantum mechanics. It is proposed that a solution to these problems may be to allow that superpositions describe physically real systems in the following sense. Each quantum system "carries" around a local spacetime in whose terms other quantum systems may take on nonlocal states. Each quantum system forms a physically valid coordinate frame. The laws of physics should be formulated to be invariant under the group of allowed transformations among such frames. A transformation of relatively superposed spatial coordinates that allows an electron system to preserve the de Broglie Relation in describing a double-slit laboratory system-in analogy to a Minkowskian Transformation-is proposed. In general, "quantum relativity" says is invariant under transformations among quantum reference frames. Some conjectures on how this impacts gravity and gauge invariance are made.

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Paul Merriam. 2005-12-01. Quantum Relativity: Physical Laws Must be Invariant Over Quantum Systems. https://arxiv.org/abs/quant-ph/0506228

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