Resolution of the Methuselah Star (HD 140283) Age Anomaly via Chronometric Stellar Evolution

Observations of the subgiant HD 140283 ("Methuselah Star") indicate a stellar age of 14.46 ± 0.8 billion years, which stands in direct contradiction to the standard cosmological age of the universe of 13.79 billion years (Planck 2018). In this paper, we present an analytical solution based on the theory of Intrinsic Metric Time Dilation (IMZD). We demonstrate that the stellar evolution rate (Γ_evol) is a function of the local time density N(ρ). Since the star originated in an epoch of high matter density and traversed through relaxing voids over the course of its history, it accumulated a physical proper time (τ) that exceeds the cosmological coordinate time (t). The discrepancy is resolved by the Chronometric Age Integral: τ_star = ∫ N(ρ) dt > t_coord A quantum-mechanically motivated correction of fusion rates (Metric Fusion Boost) consistently explains the advanced evolution of the star without violating standard physics. Key Result & Consistency: We theoretically derive that the star's history requires a mean time-boost factor of N̄ ≈ 1.05. This value lies exactly between the limits for galactic screening (N = 1) and cosmic voids (N ≈ 1.12), as independently derived in the resolution of the Hubble Tension. This precise statistical fit provides robust evidence for the internal consistency of the IMZD framework across cosmic history.