Formal derivation of particle masses and geometric lattice properties, confirming predictions about the Standard Model.
We introduce the KIT (Kim’s Isotropic Template) Universal Mass Formula, which derives fundamental particle masses exclusively from the non-trivial zeros ϱn = 1/2 + iγn of the Riemann zetafunction: M(N) = me · B(N) · G(N), where B(N) = [∏Nn=1|ζ′(ϱn)|]2/N is the spectral stiffnessfactor and G(N) is the geometric interference factor. The formula reproduces the electron (N = 1),muon (N =2), and tau (N = 3) masses to <0.001%, and the proton mass via a colour-confinementcorrection, all with zero free parameters. We prove that the hexagonal KIT lattice saturates atNsat = 23 − 1 = 7, providing the first geometric explanation for the observed three-generationstructure of the Standard Model. The N = 4 mode prediction MKIT(4) = 2348.9 MeV, Q = 0,JPC =0−+ is identified with the X(2370) resonance observed by BESIII (PRL 132, 181901, 2024)at 2395 ± 11 MeV — an a posteriori confirmation with <2% agreement and zero free parameters.The formula requires Re(ϱn) = 1/2, constituting six independent physical arguments for the RiemannHypothesis as a physical law.
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YilWook Kim (2026) studied this question.
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