Time as Phase Flow: A Geometric Semiclassical Framework for Cosmological Anomalies (Implications for the Hubble Tension and Early Massive Galaxies from JWST)

We propose an information-geometric framework where spacetime emergence is driven by a phase operator conjugate to geometric area. In this model, proper time is not a fundamental background parameter but an emergent expectation value of the phase flow. By treating geometric degrees of freedom as primary information carriers, we derive Hawking temperature, the Page curve, and log-area entropy corrections without invoking external QFT mechanisms. Crucially, the framework predicts a dynamic cosmological constant Λ(z) that alleviates the Hubble tension to approximately 2σ and accounts for the high-redshift massive galaxies recently discovered by JWST. Our results provide a semiclassical bridge between quantum information and gravitational dynamics, offering a testable origin for the arrow of time.