Baryogenesis, the Strong CP Problem, and Proton Stability from the K-Functional Framework
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2026
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| _version_ | 1866901085239640064 |
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| author | Rosa, Joel Barrett |
| author_facet | Rosa, Joel Barrett |
| contents | <p>Derived were three results from the K-functional framework (K = K_ent + K_rec + K_bdry) with zero free parameters. (1) The baryon-to-photon ratio eta = J lambda^2 / (8 pi g_<em>) = 5.5 x 10^-10, where J = 2.94 x 10^-5 is the Jarlskog invariant, lambda = 0.2243 is the Cabibbo angle, and g_</em> = 106.75 is the number of Standard Model relativistic degrees of freedom. The observed value is (6.1 +/- 0.04) x 10^-10 (10% error). The three Sakharov conditions are satisfied by the cosmological bounce: baryon number violation through inverse layer stripping, CP violation through the K-sector phase (delta = 103.5 degrees), and departure from equilibrium at the K_ent gradient reversal. The K-sector mechanism avoids the alpha_w^5 perturbative suppression that renders Standard Model electroweak baryogenesis insufficient by 10 orders of magnitude. (2) The strong CP problem is resolved without the axion. The K_ent gradient flow drives the QCD vacuum angle theta to zero by minimizing the free energy F(theta) = F(0) + (1/2) chi_top theta^2, where chi_top > 0 is the topological susceptibility (lattice-verified at (75.5 MeV)^4). The relaxation rate exceeds the Hubble rate at the QCD phase transition by a factor of 10^17, giving a residual theta of order exp(-10^17), indistinguishable from zero. No new particles or symmetries are required. The CP violation in the CKM matrix does not contaminate the QCD theta parameter because the CKM phase enters the off-diagonal Yukawa elements (from K_ent/K_rec cross-coupling) while the QCD vacuum is controlled by K_ent alone, which is real-valued. (3) The proton lifetime is approximately 1.5 x 10^43 years, arising from the K-sector gauge coupling unification scale M_unif = 10^18 GeV (a factor of 50 above the standard GUT scale of 2 x 10^16 GeV). The higher scale results from continuous K-sector cross-coupling corrections rather than SUSY threshold corrections. The prediction exceeds the current Super-Kamiokande limit (2.4 x 10^34 years) by a factor of 6 x 10^8 and is beyond the reach of all planned experiments. This explains 40 years of null results from proton decay searches. Falsification conditions are identified for each result: improved eta measurements for baryogenesis, axion detection for the strong CP resolution, and proton decay observation for the unification scale.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19284394 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Baryogenesis, the Strong CP Problem, and Proton Stability from the K-Functional Framework Rosa, Joel Barrett baryogenesis matter-antimatter asymmetry strong CP problem theta parameter axion proton decay gauge unification Sakharov conditions CKM matrix Jarlskog invariant K-functional cosmological bounce <p>Derived were three results from the K-functional framework (K = K_ent + K_rec + K_bdry) with zero free parameters. (1) The baryon-to-photon ratio eta = J lambda^2 / (8 pi g_<em>) = 5.5 x 10^-10, where J = 2.94 x 10^-5 is the Jarlskog invariant, lambda = 0.2243 is the Cabibbo angle, and g_</em> = 106.75 is the number of Standard Model relativistic degrees of freedom. The observed value is (6.1 +/- 0.04) x 10^-10 (10% error). The three Sakharov conditions are satisfied by the cosmological bounce: baryon number violation through inverse layer stripping, CP violation through the K-sector phase (delta = 103.5 degrees), and departure from equilibrium at the K_ent gradient reversal. The K-sector mechanism avoids the alpha_w^5 perturbative suppression that renders Standard Model electroweak baryogenesis insufficient by 10 orders of magnitude. (2) The strong CP problem is resolved without the axion. The K_ent gradient flow drives the QCD vacuum angle theta to zero by minimizing the free energy F(theta) = F(0) + (1/2) chi_top theta^2, where chi_top > 0 is the topological susceptibility (lattice-verified at (75.5 MeV)^4). The relaxation rate exceeds the Hubble rate at the QCD phase transition by a factor of 10^17, giving a residual theta of order exp(-10^17), indistinguishable from zero. No new particles or symmetries are required. The CP violation in the CKM matrix does not contaminate the QCD theta parameter because the CKM phase enters the off-diagonal Yukawa elements (from K_ent/K_rec cross-coupling) while the QCD vacuum is controlled by K_ent alone, which is real-valued. (3) The proton lifetime is approximately 1.5 x 10^43 years, arising from the K-sector gauge coupling unification scale M_unif = 10^18 GeV (a factor of 50 above the standard GUT scale of 2 x 10^16 GeV). The higher scale results from continuous K-sector cross-coupling corrections rather than SUSY threshold corrections. The prediction exceeds the current Super-Kamiokande limit (2.4 x 10^34 years) by a factor of 6 x 10^8 and is beyond the reach of all planned experiments. This explains 40 years of null results from proton decay searches. Falsification conditions are identified for each result: improved eta measurements for baryogenesis, axion detection for the strong CP resolution, and proton decay observation for the unification scale.</p> |
| title | Baryogenesis, the Strong CP Problem, and Proton Stability from the K-Functional Framework |
| topic | baryogenesis matter-antimatter asymmetry strong CP problem theta parameter axion proton decay gauge unification Sakharov conditions CKM matrix Jarlskog invariant K-functional cosmological bounce |
| url | https://doi.org/10.5281/zenodo.19284394 |