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A note on Penrose's Spin-Geometry Theorem and the geometry of `empirical quantum angles'

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arxiv 2112.14538 v4 pith:QA4IRLFD submitted 2021-12-29 gr-qc quant-ph

László B. Szabados This is my paper · ORCID
classification gr-qcquant-ph
keywords quantumgeometrypenrosetheoremanglesdefineddirectdirections
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abstract

In the traditional formalism of quantum mechanics, a simple direct proof of (a version of) the Spin Geometry Theorem of Penrose is given; and the structure of a model of the `space of the quantum directions', defined in terms of elementary $SU(2)$-invariant observables of the quantum mechanical systems, is sketched.

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  1. Curved spacetimes from quantum mechanics

    gr-qc 2025-02 reject novelty 6.0 of 10

    The paper constructs, for any local C^2 Lorentzian metric, six Poincaré-invariant quantum systems whose empirical distance observable reproduces the local geodesic lengths and thus the curvature, but only because the ...

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