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| Formato: | Recurso digital |
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Zenodo
2025
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| Acceso en línea: | https://doi.org/10.7176/APTA/89-05 |
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- <p>We propose a covariant field-theoretic model in which physical time is a dynamical scalar field, the Time <br>Wave Field (TWF) ( ), coupling to matter via the stress-energy trace and disformal metric modifications. <br>The measured physical time is: <br>�<br>� =(1+ ) <br>(1) <br>where is the metric proper time. We derive the covariant action, field equations, modified geodesics, and <br>constraints from weak-field gravity, atomic clocks, and interferometric measurements. Microscopic <br>fluctuations of generate quantum decoherence, with a variance <br>�<br>� ∼ (2) <br>reproducing the magnitude and structure of the Diósi–Penrose gravitational decoherence. Spatial gradients <br>of ϕ modify the flow of proper time and induce a disformal correction to the metric, yielding an additional <br>attractive force that perturbatively mimics gravitational time dilation and produces Yukawa-like corrections <br>to Newtonian gravity. Crucially, when applied to cosmology, the dynamical nature of physical time modifies <br>the interpretation of cosmic expansion. Cosmological acceleration emerges from the evolution of temporal <br>flow itself rather than from vacuum energy, while phenomena attributed to dark matter arise from temporal <br>inertia and spatial inhomogeneities in clock rates. Large-scale structure formation, gravitational lensing, and <br>the cosmological arrow of time are reinterpreted as consequences of a single dynamical time field. The model <br>yields testable predictions ranging from sub-millimeter deviations from Newtonian gravity to mass<br>dependent macroscopic quantum decoherence and time-dependent cosmological signatures. <br>Keywords: Time wave Field, Dynamical Scalar Field, Quantum Decoherence, Gravitational Time Dilation, Dark <br>Matter, Dark Energy </p>