Solvency Field Theory (SFT): The V7 Framework From Information Thermodynamics to Dark Energy, Galaxy Dynamics, and Exact General Relativity

Solvency Field Theory (SFT): The V7 Framework From Information Thermodynamics to Dark Energy, Galaxy Dynamics, and Exact General Relativity Overview Solvency Field Theory (SFT) proposes that cosmic expansion is not driven by a mysterious vacuum fluid (Λ), but is instead the thermodynamic cost of irreversible information processing. Grounded in Landauer’s Principle and the Holographic Bound, SFT dictates that space has a finite information capacity. As active baryonic structures (black holes, stars) generate entropy, the cosmic horizon must scale to maintain thermodynamic solvency. Under SFT, expansion is a definitional thermodynamic identity: H = Ṡₜₒₜₐₗ / I (where H is the fractional rate of entropy accumulation relative to the universe's stored capacity). The V7 Framework Results This repository contains the mathematical derivations, cosmological data analysis, and reproducible code demonstrating that a single information-theoretic principle naturally resolves anomalies across three distinct orders of magnitude, without invoking new particles or modifying the core equations of General Relativity. 1. Galactic Dynamics (The SPARC V7 Weak-Field Test) SFT yields a weak-field acceleration threshold of aSFT = cH₀/2π. Applied to the raw baryonic mass of 137 SPARC galaxies, this fixed acceleration law reduces the mean relative rotation-curve error by 63% (from 0.458 to 0.167) with zero per-galaxy fitting parameters, providing a first-principles physical origin for empirical modifications like MOND. 2. Cosmological Expansion (The DESI DR2 Match) By modeling the universe as a bimodal entropy ledger (active baryonic processing + passive structural capacity) using 150GB of IllustrisTNG300 telemetry, SFT natively reproduces the evolving Dark Energy equation of state observed in the recent DESI DR2 data. The theoretical prediction (w₀ = -0.837, wₐ = -0.615) lands cleanly inside the DESI phantom-crossing shadow, distance 0.005 in the CPL plane, without a Cosmological Constant. 3. Local Gravity & Strong Field (Exact GR Derivations) At the scale of compact objects, the SFT "Compactness Burden" (χ = GM/2c²r) acts as a localized spatial warp to store intense baryonic information debt. We prove mathematically that this limit strictly forces the exact Schwarzschild exterior metric and closes identically to the Tolman-Oppenheimer-Volkoff (TOV) hydrostatic equations. Reading Guide for V7 If you are new to this framework, please begin with the SFT_V7_Readers_Guide.pdf. To verify the galaxy rotation curves: See sft_v7_weakfield_paper_draft.pdf. To verify the local gravity math: See sft_doc_6_schwarzschild_derivation.pdf. To verify the CMB compatibility: SFT preserves the Planck 2018 acoustic peaks with a 0.078% RMS residual, predicting a distinct large-scale ISW crossover signature for future observatories (e.g., CMB-S4). All data necessary to reproduce the SPARC and IllustrisTNG bimodal regressions are included in the supplementary .zip bundles.