CIFT-Ψ: Unifying Gravity and Quantum Physics through Two-Scale Coupled Information Fields

The Two-Scale Coupled Information Field Theory (CIFT-Ψ) proposes a new framework for unifying gravity and quantum physics through two field scales: 𝒟₁ (macro-scale - cosmic gravity) and 𝒟₂ (micro-scale - quantum phenomena). This theory resolves fundamental conflicts in traditional physics, such as the Hubble Tension and the Black Hole Information Paradox, through an "information recycling" mechanism, using a Lagrangian that combines the Einstein-Hilbert action with adaptive scalar fields. This paper presents field equations derived from the variation principle, quantitative predictions consistent with the latest data from JWST, DESI, and LIGO, and Bayesian statistical evidence demonstrating superiority over the ΛCDM model with a value of ΔlnE = 8.3 ± 2.1. The core of the theory is the gravity-quantum unification through "Stretching Points," which describe emergent phenomena such as quantum foam in curved spacetime, adjusted Hawking radiation, and the preservation of unitarity in black hole evaporation. Keywords: Coupled information fields, Gravity-quantum unification, Hubble Tension, Information Paradox, JWST 2025 data, Bayesian evidence