Unified Field Information Theory (UFIT): A Framework for Quantum Correlation Dynamics Based on Vacuum Fluctuations - Version 5

We present Version 5 of the Unified Field Information Theory (UFIT), a theoretical framework proposing a finite timescale for quantum correlation buildup in entangled systems. Version 5 provides a fully closed, parameter-free derivation from first principles. Key Advances in Version 5: 1. The Conditioned Vacuum Mechanism: The absorbed photon conditions the local vacuum state, breaking rotational symmetry and generating a vacuum-induced splitting between tag states. This replaces the semi-phenomenological 1D-channel argument of prior versions with a rigorous QED derivation. 2. Pure l=2 Angular Momentum Structure: The decoherence coupling is rigorously proven to be a pure quadrupole (l=2) effect, yielding the exact geometric factor C_geom = 4/15, which is strictly basis-independent. 3. Exact Renormalization Factor from Racah Algebra: The decoherence renormalization factor G/G_0 = 7/6 is derived exactly from the off-diagonal self-energy: only components with q ≠ 0 contribute to decoherence. Using the Wigner-Eckart theorem and an exact 3j-symbol identity, G_0Σ_off = 1/5 - 2/35 = 1/7. This replaces the heuristic hypothesis G/G_0 = √5 from Version 4. 4. Parameter-Free Prediction: The effective coupling constant C_0 = 14/45 is a rational number determined entirely by the Racah algebra of the l=2 channel. The self-consistency equation f(α) = π/(C_0 ln(f/α)) yields f(α) = 1.828, a universal constant depending only on the fine-structure constant α. Core Prediction: Quantum correlations require a finite buildup time τ = f(α)·ℏ/(Eα), where E is photon energy and α is the fine-structure constant. For visible photons (E ≈ 2 eV), this predicts τ ≈ 50-100 femtoseconds. Experimental Test: Wavelength-dependent ratio: τ(800nm)/τ(400nm) = 2.00 ± 0.01 (UFIT prediction) vs. 8.00 (energy transfer prediction). This 4-fold difference provides sharp experimental discrimination. Theoretical Status in v5: All components of the central prediction are now derived from first principles: the geometric factor (4/15), the self-energy decomposition (1/7), the Dyson resummation (7/6), and the effective coupling (14/45). No free parameters remain. The theory is sharply falsifiable. Additional Results Retained: Multi-particle scaling laws, exact general-relativistic time dilation, temporal fidelity structure F(t) = F_exp · φ(t)², rigorous no-signaling preservation, Monte Carlo error analysis, and Keldysh formalism foundation. Version History: - V1 (Jan 2026): Initial proposal with τ ≈ 38 fs prediction - V2-V2.2 (Jan-Feb 2026): Refinements and additional analysis - V3 (Feb 2026): Framework based on vacuum fluctuations - V4 (Feb 2026): QFT foundation, Monte Carlo validation, falsifiability emphasis - V5 (Mar 2026): Conditioned vacuum derivation, exact Racah algebra renormalization, fully closed parameter-free prediction This work is openly shared for scientific scrutiny and experimental testing.