Solvency Field Theory (SFT): The V7.1 Framework From Information Thermodynamics to Dark Energy, Galaxy Dynamics, and Exact General Relativity

Solvency Field Theory (SFT): The V7 Framework & V7. 1 Compton Maintenance 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 parameterized vacuum fluid (), 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. Under SFT, expansion is a definitional thermodynamic identity: H = Ṡₓ₎ₓ₀₋ / I (where H is the fractional rate of entropy accumulation relative to the universe's stored capacity). NEW in V7. 1: The Compton Maintenance Hypothesis In standard CDM cosmology, the dark energy density (_ 0. 69) is an empirical, manually fitted decimal with no known theoretical origin. SFT V7. 1 replaces this parameterized fit with a fundamental quantum mechanism. By postulating that massive particles maintain their existence through continuous quantum phase evolution (ticking at their Compton frequency), and that each complete phase cycle (2 radians) demands one Planck area of cosmological boundary, SFT yields a modified Friedmann equation: H² = 2G / 3. The Exact Ratio: This derivation differs from the standard Friedmann equation by an exact geometric ratio of 1/4², representing the fundamental transition from angular to linear quantum frequency. Zero Free Parameters: This quantum-informational mechanism natively predicts a galactic acceleration threshold of aₒ₅ₓ = cH₀/2 1. 05 10^-10 m/s². This matches MOND's empirical a₀ threshold to within 13% strictly from first principles, utilizing zero empirical fitting parameters. The Core V7 Framework Results This repository contains the mathematical derivations and cosmological data analysis demonstrating that this single information-theoretic principle resolves anomalies across three distinct scales: 1. Galactic Dynamics (The SPARC V7 Weak-Field Test) Applied to the raw baryonic mass of 137 SPARC galaxies, the SFT acceleration law (aₒ₅ₓ = cH₀/2) reduces the mean relative rotation-curve error by 63% (from 0. 458 to 0. 167) with zero per-galaxy fitting parameters. 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. The theoretical prediction (w₀ = -0. 837, wₐ = -0. 615) lands cleanly inside the DESI phantom-crossing shadow without a Cosmological Constant. 3. Local Gravity & Strong Field (Exact GR Derivations) At the scale of compact objects, the SFT "Compactness Burden" (= 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 If you are new to this framework, please read the documents in this order: SFTV7. 1ReadersGuide. pdf (Start here for the conceptual overview) SFTV7. 1ComptonMaintenanceHypothesis. pdf (The physical mechanism and exact 4² derivation) sftᵥ7weakfieldₚaperdraft. pdf (The SPARC galaxy rotation curve proofs) sftdoc₆ₛchwarzschildderivation. pdf (The local gravity/General Relativity proofs) All code and data necessary to reproduce the SPARC and IllustrisTNG bimodal regressions are included in the supplementary. zip bundles.