Hadronic Spectroscopy from the Geometry of Singular Distributions: A First-Principles Calculation of the Mass Gap

We present a geometric derivation of the hadronic mass spectrum based on the theory of Singular Distributions on Tubular Neighborhoods. We demonstrate that the "Double Layer" distribution, which arises at the Gribov Horizon, acts as an isotropic scalar stiffness. Calibrating with Lattice QCD data, we predict the $\rho$ meson mass within 4.3% accuracy.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-02
DOI
https://doi.org/10.5281/zenodo.18461501
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
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article

Hadronic Spectroscopy from the Geometry of Singular Distributions: A First-Principles Calculation of the Mass Gap

CLAUDIO DE MELO, Universidade Federal de Rondônia
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
article

Hadronic Spectroscopy from the Geometry of Singular Distributions: A First-Principles Calculation of the Mass Gap

CLAUDIO DE MELO, Universidade Federal de Rondônia
article en

Abstract

We present a geometric derivation of the hadronic mass spectrum based on the theory of Singular Distributions on Tubular Neighborhoods. We demonstrate that the "Double Layer" distribution, which arises at the Gribov Horizon, acts as an isotropic scalar stiffness. Calibrating with Lattice QCD data, we predict the $\rho$ meson mass within 4.3% accuracy.

Zenodo (CERN European Organization for Nuclear Research)
Universidade Federal de Rondônia (BR), Marymount University (US)
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Quantum Chromodynamics and Particle Interactions
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