Bubble Horizon Cycle Hypothesis: Observational and Mathematical Framework in Cyclic Cosmology

This work introduces the Bubble Horizon Cycle Hypothesis (BHCH), a cyclic cosmological model in which the Universe undergoes repeated phases of expansion and contraction. The hypothesis suggests that causal disconnection across cycles resets observable entropy, allowing for a consistent cosmological history without a beginning or end. The paper develops the mathematical framework, discusses entropy considerations, and outlines possible observational implications, offering an alternative perspective on cyclic cosmology.