Weak-Scale SU(5) Operators and Muonic Transitions as a Mechanism for Time-Reversal Symmetry Restoration

This work proposes a minimal geometric framework in which quantum reversibility emerges from the alignment of three independent scales: the SU(5) renormalization factor χ=31.62, the 350 nm coherence window, and the muonic oscillatory mode. Using a mixed SU(5)/Pauli transition operator, we model the discrete γ→μ→e cycle as a dynamical system whose spectrum contains reversible, dissipative, and oscillatory channels. When matter is driven into sub‑nanometric Pauli‑active confinement, the renormalization factor χ projects this rigidity onto a 350 nm electromagnetic boundary condition, generating an adiabatic regime where entropy increases through phase‑space expansion rather than dissipation. In this window, the muon behaves as a coherent temporal oscillator: its complex eigenpair stabilizes with a real part near 0.017, a numerical echo of the X17 scale. Introducing an X17‑like deformation pushes the spectral radius of the transition operator toward the unit circle, reducing effective viscosity and enhancing reversibility in a manner analogous to holographic fluids near the η/s=ℏ/(4πkB) bound. No QGP–to–muon conversion is assumed; instead, both systems share a common SU(5) eigenmode whose reversibility is controlled by a renormalized Zeno rate. Numerical simulations confirm that reversibility is not a binary property but a geometric resonance condition: it emerges when the muonic mode, the coherence window, and the SU(5) scale align to suppress dissipation. Inside SU(5), the muon acts as a bosonic collective mode rather than a fermionic particle, enabling a partially reversible temporal channel that links weak interactions, nanoscale coherence, and the emergence of time asymmetry.