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February 14, 20260 citationsOpen Access

Derivation of Baryon Masses from Confinement Geometry and Relativistic Kinematics

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MAMayorov Alexey

Key Points

  • The aim is to derive the mass of light baryons using fundamental concepts without adjustable parameters.
  • Used five fundamental inputs including QCD scale and geometric factors.
  • Applied relativistic kinematics and confinement geometry based on quark interactions.
  • Calibrated quark masses using light meson spectra.
  • Derived baryon masses without parameter fitting.
  • Confirmed quark momentum calculations matching established QCD scales.
  • Demonstrated topological constraints governing quark locality in baryons.

Abstract

The mass of any light baryon (uu, dd, ss quarks) is derived without fitting parameters from five fundamental inputs: QCD scale ΛQCD=200ΛQCD=200 independently via asymptotic freedom in deep inelastic scattering (high-Q2Q2 regime where hadrons do not yet form). Geometric factor π/2=1. 5708π/2=1. 5708Arising from equilateral triangle topology of three-body confinement (90° projection angle for ground state). Quark momentum pc=ΛQCD⋅π/2=314. 16=ΛQCD⋅π/2=314. 16 consequence of (1) and (2) — no fitting. Current quark massesmu=2. 16=2. 16, md=4. 67=4. 67, ms=93. 0=93. 0 exclusively on light meson spectra (π±π±, K±K±), never on baryons. Definiteness LawTopological constraint ΔxijΔpij≥ℏ21+ln⁡2 (mi/mj) ΔxijΔpij≥2ℏ1+ln2 (mi/mj) forbidding complete localization of three fermions in a color singlet. . The model is available under CC BY 4. 0 license: https: //doi. org/10. 5281/zenodo. 18518434.

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Cite This Study

Mayorov Alexey (2026) studied this question.

synapsesocial.com/papers/699011172ccff479cfe578cfhttps://doi.org/10.5281/zenodo.18626189
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