The UAT/UCP Framework in Cosmology: A Synthesis of Results — Hubble Tension, Cosmological Constant, Causal Membrane Dynamics, and Falsifiable Predictions

This submission provides a unified synthesis of the UAT/UCP (Unified Applicable Time / Unified Causal Principle) framework and its results in cosmology. The framework introduces a single free parameter —the 7% thermal calibration margin (φ*/η = 0. 07) — from which all other constants are derived: the quantum braking factor (kₑarly = 0. 967), the Ivancho limit (κcrit = 4. 978), the causal overflow (ε = 3. 3%), and the force metric (Rgeom = 0. 2791). We show that the framework resolves the Hubble tension by reducing the effective density of matter and radiation in the early universe, yielding H₀ = 73. 0 km/s/Mpc and a sound horizon rd ≈ 141 Mpc. The vacuum energy density is derived as Λ = EPlanck × κcrit^ (φ/2 + 3/4) = 2. 50 × 10⁻¹²² MPl⁴, matching Planck 2018 within ~1. 2%. The dynamic extension —causal membrane dynamics— reveals that the universe operates on a truncated phase cycle of 348. 12°, expending 3. 3% of its energy per cycle to sustain expansion. A Monte Carlo simulation with 10, 000 iterations validates the non-random nature of the force metric (p < 0. 001). The document presents the full set of falsifiable predictions (three-depth experiment, causal overflow timing, 8-coil replication, Euclid/Roman/DESI-2) and explicitly acknowledges the framework's limitations. The UAT/UCP framework is a phenomenological model under development, not a validated theory. Its value lies in the internal consistency of its constants and the specificity of its testable predictions. The package includes the LaTeX manuscript.