Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Relativity Principle at the Foundation of Quantum Mechanics   Quantum information theorists have created axiomatic reconstructions of
quantum mechanics (QM) that are very successful at identifying precisely what
distinguishes quantum probability theory from classical and more general
probability theories in terms of information-theoretic principles. Herein, we
show how one such principle, Information Invariance & Continuity, at the
foundation of those axiomatic reconstructions maps to "no preferred reference
frame" (NPRF, aka "the relativity principle") as it pertains to the invariant
measurement of Planck's constant h for Stern-Gerlach (SG) spin measurements.
This is in exact analogy to the relativity principle as it pertains to the
invariant measurement of the speed of light c at the foundation of special
relativity (SR). Essentially, quantum information theorists have extended
Einstein's use of NPRF from the boost invariance of measurements of c to
include the SO(3) invariance of measurements of h between different reference
frames of mutually complementary spin measurements via the principle of
Information Invariance & Continuity. Consequently, the "mystery" of the Bell
states that is responsible for the Tsirelson bound and the exclusion of the
no-signalling, "superquantum" Popescu-Rohrlich joint probabilities is
understood to result from conservation per Information Invariance & Continuity
between different reference frames of mutually complementary qubit
measurements, and this maps to conservation per NPRF in spacetime. If one
falsely conflates the relativity principle with the classical theory of SR,
then it may seem impossible that the relativity principle resides at the
foundation of non-relativisitic QM. In fact, there is nothing inherently
classical or quantum about NPRF. Thus, the axiomatic reconstructions of QM have
succeeded in producing a principle account of QM that reveals as much about
Nature as the postulates of SR.

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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: math