The Spacetime Thinning Hypothesis: A Framework for Exploring the Expansion of the Universe and Its Consequences

This paper introduces the "Spacetime Thinning Hypothesis," which posits that the physical properties of the spacetime fabric evolve as the universe expands. The hypothesis suggests that the expansion of the universe affects not only the distribution of matter and energy but also the metric structure of spacetime itself. Specifically, the thinning of spacetime could have measurable consequences on gravitational interactions, the relative flow of time, and cosmological constants. The mathematical foundation of the hypothesis is supported by a novel model derived to examine the dynamic changes in the spacetime metric tensor. The model predicts an inversely proportional relationship between the rate of universal expansion and the density of spacetime. This relationship has implications ranging from microscopic effects at the Planck scale to macroscopic phenomena such as the behavior of black hole event horizons, cosmic time loops, and even perceptual phenomena like déjà vu. Additionally, the study proposes both analytical and numerical simulations to enhance the testability of the theoretical model. These simulations specifically analyze how the decreasing matter-energy density in an expanding universe impacts spacetime geometry. By extending beyond standard physical theories and cosmological models, the hypothesis offers a framework for understanding novel phenomena emerging during the universe's expansion. In this context, the "Spacetime Thinning Hypothesis" provides an alternative perspective for exploring the future evolution and ultimate fate of the universe.