Formulation Of Anisotropic Hubble Expansion Via Matsumoto Metric: An Analysis Of Pantheon+ SNIa Data And The Evolution Of Physical Constants Under The W-Method

The "Hubble Tension"—the significant discrepancy between the early-universe H0(CMB-based) and late-universe H0(SNIa-based)—stands as one of the most critical crises in modern cosmology. This paper proposes the "w-method," a novel framework that integrates the evolution of physical constants with geometric anisotropy. We redefine the universe not as an isolated system, but as a result of "Information Inheritance" from a progenitor universe. By introducing the Matsumoto metric, a specific solution in Finsler geometry, into the background potential, we analyzed the Pantheon+ SNIa catalog (0.015