What question did this study set out to answer?

The aim is to establish a non-Riemannian framework that unifies concepts of gravitational physics and cosmogenesis.

March 29, 2026Open Access

Topological Phase-Transitions in Complex-Valued Manifolds: A Unified VIFT-SVG Framework for Cosmogenesis and the Resolution of the H0 Discrepancy

Key Points

The aim is to establish a non-Riemannian framework that unifies concepts of gravitational physics and cosmogenesis.
Introduced a complex metric ansatz with an imaginary component to the spacetime metric.
Derived the Einstein-Anas Field Equations using a Lagrangian of information density.
Quantified the critical informational saturation point leading to a topological bifurcation.
Formulated the mechanism for inter-universal inheritance of torque from parent black holes.
Demonstrated the alignment of CMB data with local supernova measurements through a newly introduced term.
Established a rigorous theoretical basis for inter-universal inheritance.
Quantified the Anas Limit at approximately 8.13 solar masses.
Showed how parental gravitational imprint influences child universe properties.
Resolved discrepancies in cosmological expansion rates highlighting the role of informational factors.

Abstract

This monograph presents a formal non-Riemannian extension of General Relativity, providing a unified framework for 21st-century physics. By treating the vacuum as a complex informational manifold, the work derives the Einstein-Anas Field Equations (EAFE) and establishes the theoretical basis for inter-universal inheritance. Key Scientific Developments: 1. The Complex Metric Ansatz: Introducing a non-zero imaginary component (i) to the spacetime metric to represent the physical rotational degree of freedom (vorticity) of the vacuum. 2. The Einstein-Anas Field Equations (EAFE): Deriving the unified field equations from a Lagrangian of information density, where curvature and informational entropy are intrinsically linked. 3. Numerical Derivation of the Anas Limit: Quantifying the critical informational saturation point (MAnas ≈ 8. 13 solar masses) where spacetime undergoes a Wick-rotation, triggering a topological bifurcation and the birth of a child universe. 4. Parental Gravitational Imprint (PGI): Formulating the mechanism by which a child universe inherits a "residual torque" from its parent black hole. 5. Resolution of the H0 Discrepancy: Demonstrating how the PGI-based expansion phase lag introduces an OmegaVortex (z) term into the Friedmann equation, aligning CMB data with local SNIa measurements. This technical synthesis consolidates the author's research into a singular, rigorous framework for understanding cosmogenesis and the topological structure of the information field.

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