From Empirical Prime-Phase Dynamics to a PNT Phase Theorem

Derives a one-parameter logarithmic phase law for weighted prime trajectories directly from the Prime Number Theorem. The framework explains radial growth, angular velocity, and the phase anchor analytically, with numerical validation up to 10^9.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22734780
Primary Topic
Quantum and Classical Electrodynamics
Type
preprint
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preprint

From Empirical Prime-Phase Dynamics to a PNT Phase Theorem

Julius Stricker
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

From Empirical Prime-Phase Dynamics to a PNT Phase Theorem

Julius Stricker
preprint en

Abstract

Derives a one-parameter logarithmic phase law for weighted prime trajectories directly from the Prime Number Theorem. The framework explains radial growth, angular velocity, and the phase anchor analytically, with numerical validation up to 10^9.

Zenodo (CERN European Organization for Nuclear Research)
Technical University of Cluj-Napoca (RO)
Quantum and Classical Electrodynamics
DOIOpen Access PDFOpenAlex
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From Empirical Prime-Phase Dynamics to a PNT Phase Theorem — Julius Stricker · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS