Spectral Level-Repulsion in High-Energy Coupling Phases: The Meitner-Formalism
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2026
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| _version_ | 1866901696103317504 |
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| author | Krause, Thomas |
| author_facet | Krause, Thomas |
| contents | <div>This paper introduces the Meitner-Formalism, a theoretical extension of quantum interaction proposing that the coupling of high-energy states is governed by strict arithmetic phase coherence rather than stochastic processes. The work defines a universal coupling phase operator and derives a fundamental spectral level-repulsion in regimes of maximal eigenvalue densities. A central result is the prediction that highly coherent systems must exhibit a statistical signature following the Gaussian Unitary Ensemble (GUE), deviating significantly from classical Poisson statistics. The author proposes a concrete experimental verification through the analysis of Toponium states (top-antitop quark coupling) at high-energy colliders, where the extremely short lifetime of the top quark allows for the observation of arithmetic signals before hadronization. A repulsion parameter of approximately 2.01 is predicted, offering a falsifiable signature that could shift the paradigm from a stochastic to an arithmetic understanding of vacuum geometry and particle physics.</div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19266889 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spectral Level-Repulsion in High-Energy Coupling Phases: The Meitner-Formalism Krause, Thomas Quantum Arithmetic Top Quark Coupling Meitner Formalism GUE Statistics Spectral Geometry Anti-Quark Quark <div>This paper introduces the Meitner-Formalism, a theoretical extension of quantum interaction proposing that the coupling of high-energy states is governed by strict arithmetic phase coherence rather than stochastic processes. The work defines a universal coupling phase operator and derives a fundamental spectral level-repulsion in regimes of maximal eigenvalue densities. A central result is the prediction that highly coherent systems must exhibit a statistical signature following the Gaussian Unitary Ensemble (GUE), deviating significantly from classical Poisson statistics. The author proposes a concrete experimental verification through the analysis of Toponium states (top-antitop quark coupling) at high-energy colliders, where the extremely short lifetime of the top quark allows for the observation of arithmetic signals before hadronization. A repulsion parameter of approximately 2.01 is predicted, offering a falsifiable signature that could shift the paradigm from a stochastic to an arithmetic understanding of vacuum geometry and particle physics.</div> |
| title | Spectral Level-Repulsion in High-Energy Coupling Phases: The Meitner-Formalism |
| topic | Quantum Arithmetic Top Quark Coupling Meitner Formalism GUE Statistics Spectral Geometry Anti-Quark Quark |
| url | https://doi.org/10.5281/zenodo.19266889 |