Physical Laws Must Be Invariant over Quantum Systems.

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. 2 1 1 2 1 1 J J J J J J − − = 2 the invariant quantum interval υ is

Quantum reference frames for an indefinite metric

“…The main tool used in the construction of this argument are quantum reference frames (QRFs). The approach of QRFs has received a lot of attention in recent years, from the quantum gravity community 25 – 27 and the quantum information and quantum foundations community alike 28 – 52 . Most approaches to quantum reference frames take as a premise that the reference system relative to which a physical system is described needs to be explicitly included into the description.…”