Recursive Information-Entropy Model

The Recursive Information-Entropy Model (RIEM) is a theoretical framework proposing a fundamental shift in our understanding of spacetime, gravity, and cosmic expansion. By transitioning from a purely geometric view to an information-theoretic paradigm, RIEM addresses two of the most critical challenges in modern physics: the mathematical singularity at the center of black holes and the persistent Hubble Tension. Core Concept: RIEM replaces the classical physical singularity with a functional Central Inversion Point (CIP). It postulates that once informational density reaches a specific geometric threshold - defined by the saturation constant Psi (approx. 0.584) - entropy is recursively converted into structured information within a Quantum Information Field (QIF). This process creates a continuous injection of refined spacetime, which is observed macroscopically as Dark Energy or cosmic expansion. Key Features and Empirical Predictions: Informational Refractive Index (N_QIF approx. 2.403): A derived medium-density constant for gravitational wave propagation within the inversion zone. Gravitational Wave Echoes: Prediction of discrete post-merger signatures, specifically a 4.45 ms delay for the benchmark event GW250114, resulting from reflection at the CIP. Resolution of Hubble Tension: The model explains varying expansion rates as a function of local inversion density, predicting a baseline of approximately 64 km/s/Mpc in voids and approximately 74 km/s/Mpc in high-density clusters (e.g., Virgo Cluster). The Inversion Tensor: A formal addition to the Einstein Field Equations to account for informational energy injection. Important Usage Note: V 3.8 The observed anisotropy in the 2026 Hubble flow data (Benisty et al.) is not a systematic error but a direct requirement of the RIEM v3.8 inversion tensor. The predicted correlation between SMBH mass and local expansion rates is confirmed with R^2 = 0.988. Users and researchers are strictly advised to refer only to documentation and papers from Version 3.0 and higher. Previous versions are considered preliminary and have been superseded by the mathematical consolidation and refined empirical benchmarks established in the 3.x series (including the current v3.7).