
This preprint introduces an original MetaTime-based framework for the light sector in which retardation, hysteresis, and effective damping arise from temporal memory encoded through a fractional action, rather than from phenomenological terms added by hand. The paper models the vacuum as an effective refractive medium with delayed response, leading to a history-dependent refractive index and to testable signatures such as phase lag, long-tail relaxation, cyclic hysteresis, and protocol-dependent attenuation. Its originality lies not in fractional calculus by itself, but in using it to build a falsifiable refractive-vacuum hierarchy connecting the local vacuum, an exponential-memory closure, and a fractional-memory extension. The work identifies two immediate observational pathways using existing datasets: Fast Radio Bursts (FRBs), where memory effects may appear as residual dispersion beyond the standard plasma law, and Gamma-Ray Bursts (GRBs), where cumulative non-instantaneous propagation effects may survive beyond standard local Lorentz-invariance-violation templates. Within the broader MetaTime program, this manuscript provides a minimal light-sector realization open to present-day observational falsification.
fractional action, refractive vacuum, MetaTime, nonlocal dynamics, hereditary response, temporal memory, effective damping, hysteresis, phase lag, fast radio bursts, FRBs, gamma-ray bursts, GRBs, dispersion residuals, Lorentz invariance violation, light sector, fractional calculus, effective medium, observational cosmology, astrophysical tests
fractional action, refractive vacuum, MetaTime, nonlocal dynamics, hereditary response, temporal memory, effective damping, hysteresis, phase lag, fast radio bursts, FRBs, gamma-ray bursts, GRBs, dispersion residuals, Lorentz invariance violation, light sector, fractional calculus, effective medium, observational cosmology, astrophysical tests
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