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 (NQIF 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 R² = 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 Previous versions are considered preliminary and have been superseded by the mathematical consolidation and refined empirical benchmarks established in the 3.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). Keywords: Quantum Information Field, Central Inversion Point, Black Hole Physics, Hubble Tension, Gravitational Wave Echoes, RIEM Theory.
Michel P. Hellward (Fri,) studied this question.