Proton–Neutron Topological Derivation and the Neutron Lifetime Puzzle Under MMA-DMF

Within MMA-DMF, the proton–neutron sector is formulated as a topological defect problem in a thermo-viscous scalar vacuum locked to a single rigidity scale,MUV=100M_{UV}=100MUV=100TeV. In this picture, the proton acts as the proton-like local minimum anchor in the constrained physical sector, while free-neutronβ\betaβ-decay is interpreted as the metastable topological relaxation of a constrained neutron configuration toward the proton branch. The lifetime chain is organized by the effective-density lawmeff(ρeff)→Γgeo(ρeff)→τrel(ρeff)→τn(ρeff)m_{\mathrm{eff}}(\rho_{\mathrm{eff}})\to \Gamma_{\mathrm{geo}}(\rho_{\mathrm{eff}})\to \tau_{\mathrm{rel}}(\rho_{\mathrm{eff}})\to \tau_n(\rho_{\mathrm{eff}})meff(ρeff)→Γgeo(ρeff)→τrel(ρeff)→τn(ρeff), and the validated final computational closure line is: proton-like local minimum anchor→\to→certified local index-1-like saddle neighborhood→\to→barrier/metastability proxy→\to→robust local escape functional→\to→controlled neutron-lifetime observable bridge→\to→attached absolute lifetime normalization→\to→explicit one-scale consistency lock atM=100M=100M=100TeV. The final numerical line therefore yields a controlled dimensionless bridge together with an attached absolute normalization centered at 879.4 s and a supported interval of 830.99–963.43 s, with confirmation-mesh consistency near 0.998, and a one-scale consistency-lock test in whichM=100M=100M=100TeV is supported whereas the neighboring controlsM=99M=99M=99TeV andM=101M=101M=101TeV fail under the same attached criterion by more than seven orders of magnitude.