Time Field Theory: A Classical Field Interpretation of Quantum Uncertainty and Measurement

Within the axiomatic framework of Time Field Theory (TFT), this paper provides a classical field interpretation for the core features of quantum mechanics. We demonstrate the intrinsic equivalence between rest mass and the capability of defining local spacetime benchmarks, and introduce the dimensionless quantity α = 1−γ to characterize observer strength. The covariant dynamical equation of observer strength is established from the TFT field equation. Based on time-field fluctuation analysis, we derive a benchmark-induced uncertainty contribution, which is treated as a gravitational correction to the conventional quantum uncertainty relation. A classical ergodic statistical picture is proposed to interpret quantum probability, and the process of measurement and decoherence is described as dynamical stabilization of the time field under macroscopic mass disturbance. This work does not introduce any quantum mechanical postulates, wavefunctions or Hilbert space structures. It offers a self-consistent deterministic perspective to understand quantum phenomena without contradicting existing quantum formalism.