Emergent gravitational effects from the transformation between inertial and non-inertial frames in the observation of a photon
DOI:
https://doi.org/10.62059/LatArXiv.preprints.683Keywords:
Emergent gravity, Non-inertial reference frames, Photon action, Effective spacetime metric, Geodesic equations, Curvature tensor, Gravitational lensing, Galaxy rotation curves, Cosmological expansion, Tests of general relativityAbstract
It is investigated a theoretical framework in which gravitational phenomena arise from the transformation between an inertial reference frame and a non-inertial frame used to observe photon dynamics. Starting from a photon action modified by one kinematic factor associated with the velocity and acceleration of the observer, I derive an effective spacetime metric and the corresponding geodesic equations. The curvature tensor and Einstein tensor of the ressulting geometry are calculated explicitly. The weak-field limit is analyzed and compared with Newtonian gravity and General Relativity. Predictions for galaxy rotation curves, cosmological expansion, gravitational lensing, photon spheres around compact objects, and solar-system test are discussed. Possible observational consequences are examined.
References
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[9] C. Will, “The Confrontation between General Relativity and Experiment,” Living Reviews in Relativity, 2014.
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Copyright (c) 2026 Vicente Cotrino Bautista (Autor/a)
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