Temporal Resonance as a Scalar Field: A Testable Framework for Local Time Deviations
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We propose a testable theoretical framework in which proper-time deviations are modeled by a real scalar field τ (x) defined on spacetime. This field obeys a Klein–Gordon-type equation sourced by the trace of the energy-momentum tensor. The framework predicts localized and resonantly amplified time-shifts induced by energetic systems, suggesting measurable deviations in high-precision atomic clocks or interferometric setups. We discuss analytical solutions, quantization, nonlinear effects, and experimental implications of the theory.