Time in fundamental physics is typically treated as a globally defined background parameter,despite the fact that all physical interactions are instantiated over finite temporal and spatial do-mains. In practice, detector couplings are switched on and off, boundaries are driven for limiteddurations, quenches occur over finite ramps, and scattering processes involve nonzero preparationand detection times. These finite-domain features are usually treated as technical or experimentalnecessities rather than as physically meaningful structure. In this work, I show that the formalconsequences of restricting a field-theory action to a finite spacetime domain via a smooth windowfunction ♢(x) are not auxiliary but arise in a unified way across a wide range of experimentally es-tablished phenomena. Introducing a windowed action principle yields windowed Noether identitiesthat preserve all local dynamics while explicitly restricting the operational domain of conservedquantities. Apparent non-conservation of local currents in the boundary layer is not a symmetryviolation but an exact consequence of domain restriction, mathematically identical in structure toopen-system flux terms in decoherence theory. Applying this framework, I analyze five distinctexperimental cases: the timelike Unruh effect in trapped-ion detectors, the dynamical Casimir ef-fect in superconducting circuits, quench-induced currents in cold-atom systems, ultrafast coherentcontrol with femtosecond laser pulses, and finite-time scattering theory. Across all five cases, asingle localization window and one experimentally constrained boundary-layer timescale accountfor observed spectral structure, apparent non-conservation, and finite-time effects without modi-fying the underlying quantum mechanics or quantum field theory. The results demonstrate thatfinite-domain localization is not a case-specific artifact but a unifying formal principle across thesephysically distinct regimes.
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Shawn Hackett
United States Department of the Air Force
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Shawn Hackett (Sat,) studied this question.
www.synapsesocial.com/papers/69cf5ced5a333a821460a828 — DOI: https://doi.org/10.5281/zenodo.19363333