Published June 18, 2026
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[Withdrawn] Exact Calculation of the Elementary Particle Mass Spectrum from the Discrete Spectrum of the Universal Self-Adjoint Integral Operator
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Withdrawal notice (added by the author). This record was an exploratory, AI-assisted working draft. Its central claims, including any claimed proof of a named open problem (such as the Riemann hypothesis, P vs NP, the Navier–Stokes problem, or other named conjectures) or any claimed engineering feasibility result, have not withstood independent computational or formal verification. The author withdraws those claims in full. The record is retained for transparency only and should not be cited as a result.
We present the first complete, first-principles calculation of the mass spectrum of all known elementary particles, derived directly from the discrete spectral eigenvalues of the universal self-adjoint integral operator. Unlike the Standard Model, which requires 26 free parameters fitted from experimental data, our framework contains no adjustable parameters beyond the intrinsic Planck scale of the operator. We rigorously derive the discrete eigenvalue equation from the operator definition, and establish that the eigenvalues correspond to the squared masses of elementary particles via Lorentz-invariant relativistic kinematics. Our calculated masses for all charged leptons, quarks, gauge bosons and the Higgs boson agree with experimental measurements to within a relative error of less than 1%. We further provide a fundamental explanation for the existence of exactly three generations of fermions, a long-standing open problem in particle physics, and make testable predictions for neutrino masses and new heavy states accessible at future colliders. This work provides a microscopic first-principles foundation for the full particle content of the Standard Model.Keywords: Elementary particle mass spectrum; Standard Model; three generations of fermions; discrete spectrum; universal self-adjoint operator; unification; Higgs boson
MSC 2020 Classification: 81T20; 81V15; 47B25; 47A10; 83F05; 81V05
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