Chronon Quantum Mechanics: A Reformulation of Quantum Theory via Temporal Flow

We introduce Chronon Quantum Mechanics (CQM), a novel foundational framework for quantum theory derived from Chronon Field Theory (CFT) , in which time is modeled as a smooth, unit-norm, future-directed vector field Φμ(x) on a Lorentzian manifold. Unlike conventional quantum mechanics, where time is treated as an external parameter, CQM posits that quantum states evolve relative to the physical foliation generated by Φμ, the “Real Now.” This reformulation yields a new quantization scheme in which wavefunctionals are defined on Chronon-sliced hypersurfaces, and quantized matter arises from topologically nontrivial configurations of temporal flow.We demonstrate how familiar quantum phenomena—such as spin, statistics, the Pauli exclusion principle, and gauge interactions—emerge from the topology and dynamics of Φμ. We further show that CQM addresses major conceptual puzzles, including the measurement problem, the arrow of time, and quantum nonlocality, through a causal and background-independent temporal ontology. To validate the theory, we present numerical simulations of Chronon solitons, confirming quantized winding, coherent propagation, and annihilation dynamics. These results support the identification of w=±1 solitons as fermionic precursors and w=0 as bosonic modes. Finally, we outline testable deviations from standard quantum theory—such as modified scattering amplitudes, decoherence patterns, and gravitational wave signatures—positioning CQM as a coherent, predictive, and empirically accessible alternative to conventional quantum foundations.