The Dual-Field Interface Model (DFIM): Integrated Quantum Gravity, Information Recovery, and Cosmological Implications

The Dual-Field Interface Model (DFIM) proposes a reformulation of spacetime as a physical, high-tension membrane separating two fundamental 5D bulk fields: a positive bulk (observable matter) and a negative bulk (inverted reservoir). In this framework, gravity is derived as a "mechanical weld" (stiffness) created by matter density, while light is modeled as a surface ripple upon this interface.

Version 3.5 introduces a fully covariant scalar-tensor formulation to preserve local Lorentz invariance while addressing major open problems in physics. The model resolves the Black Hole Information Paradox by deriving a non-singular Hawking temperature and ensuring unitarity via a continuous interface that follows the Page Curve during evaporation. Additionally, it offers a geometric resolution to the Hubble Tension by predicting non-uniform cosmic expansion governed by local density-dependent stiffness.

Key Theoretical Advances in Version 3.5

1. Resolution of the Information Paradox

Mechanical Dynamics: The model treats the event horizon as a "stiffness horizon" acting as a high-pass filter. It reflects low-frequency perturbations (echoes) but admits high-momentum infallers, preserving the Equivalence Principle for macroscopic objects ().

Leakage Mechanism: Information recovery is governed by strain-rate dependent leakage modeled via non-adiabatic Landau-Zener transitions. This predicts high leakage during rapid formation (15–25%) and negligible leakage in stable, mature black holes.

Unitarity: Explicit derivation of entropy evolution confirms that entanglement threads ("elastic links") purify radiation post-Page time, restoring unitarity.

2. Cosmological Implications & Hubble Tension

Non-Uniform Expansion: The modified Friedmann equation introduces density-dependent stiffness terms. High-density regions (clusters) are "welded" rigid (recovering standard GR), while low-density voids possess a "loose" interface that expands faster due to kinetic relaxation.

Resolution: This distinct behavior resolves the Hubble Tension geometrically: early-universe probes measure the stiffer background, while local void measurements probe the faster-expanding regimes.

3. Dark Matter as Stable Remnants

PBH Stability: Primordial Black Holes (PBHs) do not evaporate completely but stabilize as "frozen knots" or saturated welds when the density reaches a critical saturation point (). These remnants (mass range to ) serve as stable cold dark matter candidates.