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Relational Quantum Mechanics

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arxiv 1211.2706 v1 pith:IUEYPGYF submitted 2012-11-09 physics.gen-ph

Argyris Nicolaidis This is my paper · ORCID
classification physics.gen-ph
keywords quantumrelationallogicmechanicsphasespaceamplitudearrow
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We suggest that the inner syntax of Quantum Mechanics is relational logic, a form of logic developed by C. S. Peirce during the years 1870 - 1880. The Peircean logic has the structure of category theory, with relation serving as an arrow (or morphism). At the core of the relational logical system is the law of composition of relations. This law leads to the fundamental quantum rule of probability as the square of an amplitude. Our study of a simple discrete model, extended to the continuum, indicates that a finite number of degrees of freedom can live in phase space. This "granularity" of phase space is determined by Planck's constant h. We indicate also the broader philosophical ramifications of a relational quantum mechanics.

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Cited by 1 Pith paper

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  1. Relational Quantum Dynamics (RQD): An Informational Ontology

    quant-ph 2024-12 reject novelty 4.0 of 10

    RQD claims that observer-relative facts, emergent time, entanglement-built space, integrated information, and decoherence together dissolve quantum paradoxes, but it offers no formal derivation.

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