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Fermat’s Theorem

Abstract:
Dark energy is believed to drive the accelerated expansion of the universe, comprising approximately 71.35% of the total energy density. This work proposes that gravitational potential energy and dark energy are equivalent, and derives expressions predicting both the percentage of dark energy and spatial variation in the speed of light. Results reproduce known light bending near massive bodies and resolve issues such as the black hole time-stop paradox. The approach is based solely on classical mechanics and relativity, without introducing new physical laws.