Integrating Modulus Time with String Theory Dualities Dynamical Moduli and Cyclic Cosmology.pdf

Abstract We present a rigorous formulation of Modulus Time, in which physical evolution dependson the magnitude of time rather than its orientation, and embed it consistently into stringtheory. Modulus Time is derived as an emergent relational degree of freedom arising from aHamiltonian constraint, rather than postulated. We demonstrate its compatibility with stringworldsheet dynamics, compactification moduli, T-duality, and string gas cosmology. Lorentzinvariance and causality are shown to emerge locally, while a global time-reversal symmetryis preserved. The resulting framework naturally yields a non-singular cyclic cosmology withmirrored entropy evolution and leads to testable predictions for cosmological observables.