Anas Cosmogenesis Hypothesis v1.3: Integration of Black Hole Burst, Nuclear Trigger, Anas Limit, PGI, and String Theory

This comprehensive monograph (v1. 3) presents a fully integrated theoretical framework for the Anas Cosmogenesis Hypothesis. The hypothesis proposes a deterministic mechanism for universe formation via "Black Hole Bursts, " where a parent black hole's catastrophic collapse triggers the birth of a child universe. Key components integrated in this version include: 1. The Anas Limit Derivation: A newly quantified critical threshold (MAnas ≈ 8. 13 solar masses) that separates standard gravitational collapse from cosmogenic rebirth at nuclear matter densities. 2. Nuclear Triggering: An analysis of endothermic nuclear fusion beyond iron (Z > 26) within hypermassive cores as a dynamical driver for runaway collapse. 3. Parental Gravitational Imprint (PGI): A background metric inheritance mechanism that explains the universality and apparent weakness of gravity in the child universe. 4. String Theory Connections: Proposals linking spacetime turbulence during the "burst" event to the excitation of fundamental string modes. The paper provides mathematical placeholders for effective field equations, entropy mapping between parent and child horizons, and a roadmap for formalization through numerical relativity and observational signatures in the Primordial Gravitational Wave Background (PGWB) and CMB anisotropies.