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Библиографические подробности
Главный автор:	Thomas Gøtzsche
Формат:	Recurso digital
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Опубликовано:	Zenodo 2026
Предметы:	phase evolution time from phase relativistic time dilation GNSS timing quantum coherence decoherence non-Markovian dynamics Physical cosmology cosmology
Online-ссылка:	https://doi.org/10.5281/zenodo.19650610
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This paper introduces a regime-dependent framework based on the quantities τ\tauτ and ϵ\epsilonϵ, providing a unified structural interpretation of phase evolution across multiple domains of physics. Rather than proposing a new fundamental theory, the framework reorganizes established physical effects in terms of phase accumulation and deviation fields, while remaining consistent with existing theoretical descriptions. A central feature of the formulation is the interpretation of time as a quantity derived from phase accumulation, expressed operationally as dT=dϕ/ω0dT = d\phi / \omega_0dT=dϕ/ω0. Within this perspective, differences in observed temporal behavior arise from differences in accumulated phase, governed locally by a co-scaling parameter τ=1+ϵ\tau = 1 + \epsilonτ=1+ϵ. The deviation field ϵ\epsilonϵ is decomposed into regime-dependent components, including gravitational and kinematic contributions (ϵgrav,ϵkin\epsilon_{\text{grav}}, \epsilon_{\text{kin}}ϵgrav,ϵkin) and path-dependent contributions (ϵpath\epsilon_{\text{path}}ϵpath). The framework is applied consistently across several physical regimes: <ul> <li>In relativistic systems, τ\tauτ describes local co-scaling of physical processes and provides a phase-based interpretation of time dilation.</li> <li>In propagation-dominated systems such as GNSS, ϵpath\epsilon_{\text{path}}ϵpath accounts for signal delay and distortion, while local τ\tauτ governs intrinsic clock behavior.</li> <li>In extended quantum systems, including giant atoms and giant superatoms, path-dependent phase contributions enter dynamically, giving rise to interference, delayed feedback, and effective non-Markovian behavior.</li> <li>In cosmological contexts, τ(t)\tau(t)τ(t) is interpreted as a global evolution parameter, leading to a Friedmann-class description of large-scale phase dynamics.</li> </ul> The framework emphasizes a clear separation between intrinsic phase evolution and propagation-induced phase accumulation, allowing diverse phenomena—relativistic time dilation, signal propagation effects, quantum coherence, and large-scale evolution—to be expressed within a common phase-based structure. A worked GNSS example demonstrates how standard relativistic clock corrections (on the order of 38.5 microseconds per day) arise directly from differences in phase accumulation rates, providing a concrete link between the framework and operational systems. This work is interpretative in scope and does not introduce new dynamical equations or empirical predictions. Instead, it provides a consistent conceptual language that connects multiple physical regimes through phase accumulation and co-scaling, and serves as a foundation for future development of dynamical formulations.

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