Planck's Constant as a Coherence Quantization from Phase Geometry

This paper presents a Coherence Geometry interpretation of Planck’s constant as a natural action scale arising from phase closure in structured coherence fields. Planck’s constant is traditionally introduced as an empirical constant. In this paper, a natural coherence action scale \(S_0\) arises from the requirement that stable \(\mu\)-field structures close phase cycles in integral multiples of \(2\pi\). This quantizes action increments as \(S = 2\pi n S_0\). The standard quantum relations follow once \(S_0\) is calibrated to laboratory data, yielding \(S_0 = \hbar\). The result is structural rather than numerological: the paper does not claim to derive the measured numerical value of \(h\) without calibration. Instead, it argues that an action scale of the Planck type appears naturally from phase-constrained coherence geometry, with numerical value fixed by physical units and experimental comparison. Internal reference: CGI-RSR-000020.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-17
DOI
https://doi.org/10.5281/zenodo.20257618
Primary Topic
Orbital Angular Momentum in Optics
Type
preprint
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preprint

Planck's Constant as a Coherence Quantization from Phase Geometry

B. Petersen
Zenodo (CERN European Organization for Nuclear Research)
Orbital Angular Momentum in Optics
preprint

Planck's Constant as a Coherence Quantization from Phase Geometry

B. Petersen
preprint en

Abstract

This paper presents a Coherence Geometry interpretation of Planck’s constant as a natural action scale arising from phase closure in structured coherence fields. Planck’s constant is traditionally introduced as an empirical constant. In this paper, a natural coherence action scale \(S_0\) arises from the requirement that stable \(\mu\)-field structures close phase cycles in integral multiples of \(2\pi\). This quantizes action increments as \(S = 2\pi n S_0\). The standard quantum relations follow once \(S_0\) is calibrated to laboratory data, yielding \(S_0 = \hbar\). The result is structural rather than numerological: the paper does not claim to derive the measured numerical value of \(h\) without calibration. Instead, it argues that an action scale of the Planck type appears naturally from phase-constrained coherence geometry, with numerical value fixed by physical units and experimental comparison. Internal reference: CGI-RSR-000020.

Zenodo (CERN European Organization for Nuclear Research)
Geomechanica (Canada) (CA)
Orbital Angular Momentum in Optics
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