Reversible Phase Desynchronization and Cyclic Cosmology in Generalized Mass as Twisted Time (G-MaTT)

Abstract In Generalized Mass as Twisted Time (G-MaTT), dark matter and dark energy emerge from phase desynchronization in the primordial torsion field \(\mathcal{M}_\mu\). Dark matter results from spatial desynchronization when relative velocities exceed the coherence threshold \(v > c\sqrt{\alpha}\), while dark energy arises from temporal desynchronization of high-frequency modes above \(\omega > \Omega_0 \sqrt{\alpha}/(2\pi w)\). We demonstrate that both processes are fully reversible: when velocities or effective frequencies fall below their respective thresholds, desynchronized braids re-lock to the background phase, converting dark states back into ordinary coherent matter or bound structures. On cosmic scales, this reversibility naturally leads to eternal cyclic evolution: accelerated expansion driven by growing desynchronization, a global "dark era" of maximal phase dispersion, fluctuation-induced re-coherence nucleation, and a new initiation phase without singularity. This cyclic cosmology is an intrinsic consequence of G-MaTT's geometric principles, requiring no additional assumptions. Specific predictions include subtle non-Gaussian features in the CMB from prior-cycle phase gradients, void statistics as remnants of desynchronized regions, and stochastic gravitational wave backgrounds from torsional transitions.