Tifft Redshift Quantization, Curvature Saturation of the Proton Radius, and Topological Irreversibility

Cosmological redshift quantization and fundamental particle-scale invariants emerge as dual manifestations of the spectral rigidity of a finite-capacity discrete vacuum substrate. The proton charge radius represents the fundamental curvature saturation boundary of three-dimensional space, defining the minimum physical domain capable of sustaining smooth, divergence-free velocity and vorticity fields around a localized three-vorton core. Attempting to compress fields below this threshold forces the required mathematical gradients to exceed the network's maximum allowable capacity, proving that the proton is a curvature-saturated topological soliton rather than an arbitrary empirical parameter. Optimal six-dimensional sphere packing of the metric deformation space dictates an exact seventy-two-fold modular clock, connecting the proton radius directly to the neutron-proton mass splitting as the discrete activation threshold required to execute an isospin basis rotation. At cosmological scales, galactic redshift clustering reflects discrete expansion increments across the network's fundamental correlation cells, representing the finite re-addressing clock of the expanding substrate rather than continuous velocity shifts. The macroscopic arrow of time is the inevitable consequence of non-invertible projective contraction during topological vortex reconnections, where continuous field information is compressed irreversibly into the invariant ground-state attractor, resolving classical time-reversal paradoxes through discrete spectral transitions.