Holographic Information Dynamics and the Master Ledger: A Two-Parameter Sterile Framework Resolving the Hubble Tension and JWST Anomalies

Executive Summary

The Absolute Grand Unifying Framework (AGUF) v1.0 proposes a radically minimalist reconstruction of physical reality as a self-optimizing information processor. Built upon only two architectural parameters—the effective central charge $c_{eff} = 1.5$ and the transverse compactness $B = \pi$—the framework achieves full derivational closure across 14 formal blocks. This preprint provides a sterile alternative to the standard $\Lambda$CDM model, resolving the $5.6\sigma$ Hubble tension and the James Webb Space Telescope (JWST) "Impossible Maturity" puzzle without the introduction of ad-hoc particles or constants.

Theoretical Architecture: The 14-Block Sterile Baseline

AGUF v1.0 replaces the Friedmann equations with a singular Master Ledger identity:

In this paradigm, cosmological expansion is interpreted as the accumulation of structural debt ($D_{struct}$) incurred by a $3/2$ coordination tax required for holographic persistence. The framework yields the following foundational results:

• Hubble Resolution: Derives a local $H_{0} \approx 73.28 \text{ km/s/Mpc}$ at a structural debt of $D_{struct}^{*} \approx 0.149$, reconciling early- and late-universe observations.

   

• Dark Sector: Reinterprets dark matter as a geometric folding effect (Symmetric Folding Law) at a characteristic scale $g_{0} \approx 1.2 \times 10^{-10} \text{ m/s}^{2}$, eliminating the need for particulate WIMPs.

   

• Unitary Information: Addresses the black hole information paradox via a derived Page curve where the island radius $r_{I}$ is governed by substrate efficiency $\eta_{eff}$.

   

• Terminal Dynamics: Predicts a "Harmonic Freeze" at $T_{max} \approx 214.01 \text{ Gyr}$ based on the Lloyd metastability bound.

   

Numerical Validation: The Sterile HID-OS Laboratory

Included in this deposit is the AGUF_v1.0_Complete_Release.py script, a unified Python-based numerical laboratory. The script allows for immediate verification of the 14-block derivation through:

• RK45 ODE Integration: Full coupling of structural debt and efficiency dynamics.

   

• Persistent Homology Tracker: Monitoring Betti-1 feature decline during debt amortization.

   

• Mock Data Generation: High-fidelity simulation of expected results for upcoming DESI, JWST, and LIGO data releases.

   

Falsifiable Predictions (2026–2028 Experimental Roadmap)

AGUF v1.0 makes four distinct, non-overlapping predictions to be tested within the current observational window:

1. DESI: An exponential cutoff in the galaxy correlation function $\xi(r)$ at $\lambda_{D} \approx 57 \text{ Mpc}$.

    

2. JWST: A Tolman dimming law scaling strictly as $(1+z)^{-1}$ without additional extinction parameters.

    

3. LIGO/Virgo: A $0.08\%$ damping time variance in black hole ringdowns due to modular action fluctuations.

    

4. Proton Decay: A predicted particle lifetime of $1.4 \times 10^{35.2 \pm 0.4} \text{ yr}$, testable by Hyper-Kamiokande and DUNE.

    

Keywords: Hubble Tension, Holographic Cosmology, Master Ledger, Information Dynamics, Dark Energy, JWST Anomalies, Two-Parameter Physics, Sterile Framework.