Particle Masses Encoded in the Riemann Zeta Zeros: The PRISM Framework
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| Natura: | Recurso digital |
| Lingua: | En |
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Zenodo
2026
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| _version_ | 1866901976935038976 |
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| author | McNeal, T |
| author_facet | McNeal, T |
| contents | <p>We present empirical evidence for a striking correspondence between the nontrivial zeros of the Riemann zeta function and fundamental particle masses. The PRISM framework (Prime Riemann Invariant Spectral Model) proposes the formula M = (D/163) × tₙ, where tₙ is the imaginary part of the n-th Riemann zero and D is a scale parameter. For D = 24 (QCD scale), charmonium masses J/ψ and ψ(2S) are predicted with errors below 0.1%. For D = 163 (electroweak scale), masses of W, Z, Higgs, and top quark are reproduced within 1.5%. The ratio t₃/t₂ matches the experimental ratio M(ψ(2S))/M(J/ψ) to 0.04% — a parameter-free prediction. We derive testable predictions including an unobserved charmonium state at 4849 MeV.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18149117 |
| institution | Zenodo |
| language | enc |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Particle Masses Encoded in the Riemann Zeta Zeros: The PRISM Framework McNeal, T Riemann Hypotesis Particle Physics Prime Numbers Zeta Function Mass Prediction QCD Electroweak PRISM <p>We present empirical evidence for a striking correspondence between the nontrivial zeros of the Riemann zeta function and fundamental particle masses. The PRISM framework (Prime Riemann Invariant Spectral Model) proposes the formula M = (D/163) × tₙ, where tₙ is the imaginary part of the n-th Riemann zero and D is a scale parameter. For D = 24 (QCD scale), charmonium masses J/ψ and ψ(2S) are predicted with errors below 0.1%. For D = 163 (electroweak scale), masses of W, Z, Higgs, and top quark are reproduced within 1.5%. The ratio t₃/t₂ matches the experimental ratio M(ψ(2S))/M(J/ψ) to 0.04% — a parameter-free prediction. We derive testable predictions including an unobserved charmonium state at 4849 MeV.</p> |
| title | Particle Masses Encoded in the Riemann Zeta Zeros: The PRISM Framework |
| topic | Riemann Hypotesis Particle Physics Prime Numbers Zeta Function Mass Prediction QCD Electroweak PRISM |
| url | https://doi.org/10.5281/zenodo.18149117 |