What question did this study set out to answer?

The aim is to formalize the convergence between cosmic phenomena and resolve cosmological tensions using advanced mathematical frameworks.

February 21, 2026Open Access

The Causal Nexus: Version 11.0 Unified Field Theory: Hyperbolic Phase-Locking and the Geometric Resolution of Cosmological Tension

Key Points

The aim is to formalize the convergence between cosmic phenomena and resolve cosmological tensions using advanced mathematical frameworks.
Introduced Version 11.0 of the Causal Nexus as an advanced theoretical model.
Transitioned from a static sine-metric to a Hyperbolic Phase-Slip Metric.
Analyzed the relationship between global curvature radius, cosmic birefringence, and Hubble shift.
Identified a unique Unitary Harmonic at Ru ≈ 53.01 to 56.3 Gly that reconciles discrepancies in cosmic measurements.
Achieved a resolution of 0.35° cosmic birefringence with a 9% geometric Hubble shift.

Abstract

Version 11.0 of the Causal Nexus formalizes the numerical convergence between the global curvature radius (Ru), cosmic birefringence, and the Hubble Tension. By transitioning from a static sine-metric to a Hyperbolic Phase-Slip Metric, we resolve the mathematical singularity encountered in standard relativistic derivations where sin(x)/x > 1. We demonstrate that a unique Unitary Harmonic exists at Ru ≈ 53.01 to 56.3 Gly, where the topological surface-area damping of an S3 manifold exactly reconciles the 0.35◦ cosmic birefringence with a 9% geometric Hubble shift.

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