Solvency Field Theory (SFT) V10: An Information-Theoretic Foundation for Cosmology, Gravity, and The Thermodynamic Foundation of Cosmic Expansion, Galactic Dynamics, and Exact General Relativity

Solvency Field Theory (SFT): The V10 Master Framework Overview The universe has a history because information processing is irreversible; expansion is the shape of that history at cosmological scale, and gravity is its shape at every other scale. Solvency Field Theory (SFT) is an information-theoretic foundation for cosmology and gravity. It resolves the mass-discrepancy anomalies of standard CDM cosmology—specifically Dark Energy and Dark Matter—without introducing new particles, new fields, or free parameters. The framework rests on four established axioms (Landauer's principle, Connes-Rovelli thermal time, the holographic bound, and geometric expansion as maintenance cost). Through the Compton Maintenance Postulate, SFT establishes that every massive particle maintains its quantum existence through continuous phase evolution, demanding exactly one Planck area of cosmological boundary surface per complete phase cycle. From this foundation, SFT derives the cosmological master equation H = Ṡ/I as a thermodynamic identity. It successfully predicts: A modified Friedmann equation differing from the standard result by exactly 1/4². The empirical MOND acceleration scale (a₀ = cH₀/2), confirmed against 137 SPARC galaxies at a 63% error reduction. The DESI DR2 dark energy equation of state (w₀ = -0. 837, wₐ = -0. 615) as a forced transition (the "Engine Crash"). The exact recovery of the Schwarzschild exterior metric and Tolman-Oppenheimer-Volkoff (TOV) hydrostatic equations in the strong-field limit. This repository contains the V10 Master Architecture, the 82-page mathematical Companion vault, and all supporting historical notes, proofs, and computational references. 🚀 START HERE: The V10 Master Architecture (April 2026) NEW SFTV10MasterPaper. pdf The complete, definitive theory in a single standalone document. Written for the skeptical cosmologist, this paper establishes the four axioms, the 5-appearance unification of the 4² structural identity, the forced four-state cosmic web ladder, and the strong-field closure. It structurally unifies the early-universe CMB imprint and the late-universe dark energy phantom crossing as forced thermodynamic transitions of the universe's maintenance ledger. New readers begin here. NEW SFTV10CompanionCombinedReadingVolume. pdf (82 pages) The Shop Manual. This companion document is the mathematical vault for V10. It contains the full symbolic derivations, numerical methods, projection integrals, ablation tables, uniqueness pivots, and audit trails for the load-bearing sections of the Master Paper. NOTE: repro pack listed will be assembled and included in V10. 1 🌉 The Transitional Capstone NEW V9₁AdditionMinimalBridgeShatterCMBTransferSpliceᵣev. pdf The critical bridge document finalized just prior to V10. It establishes the temperature-dependent "Shatter" (the forced transition of the early universe) and the filtered 3D-to-2D CMB projection of a relic phase event. Formally introduces the candidate thermal transfer splice (Bₓ₇₄ₑ₌ = qT fb fᵣ / 4²) interpreting the 1/4² factor as the geometric requirement for angular-to-linear phase-space conversion. 📂 Historical & Supporting Architecture (V8 & V9) These documents track the immediate evolution and component proofs leading up to V10. Included for historical reference and deep-dive methodology. SFTV9UnifiedFramework. pdf (22 pages): The previous master document. Establishes the constrained minisuperspace action principle and the initial local-to-global scale transition. V9₀UnifiedWeakFieldLagActionₐndGoal3BridgeFinal. pdf: Upgrades the weak-field sector into a rigorous scalar gravity theory, surviving historical scalar kill-tests and passing the post-Newtonian solar system gates (=1). SFTV8₆ObserverSideLocalEnvironmentClosure. pdf: Closes the bounded wₐ residual through a derived observer-side covering-geometry correction. SftV8. 5Cosmologicalₛectorcompanionₙote. pdf: Derives the forced four-state screening ladder from axis factorization and the exact static projection corrections (sₖ₀₋₋ = 1/3, s₅₈₋₀₌₄₍ₓ = 2/3). SftV8. 4Weak-fieldSparcPaperV2. pdf & V8. 4WeakFieldRepo. zip: The geometric weak-field derivation and full computational repository for the SPARC galactic rotation curve confirmations. SFTJWSTEarlyMassiveGalaxiesₐndBottomUpStructureFormation. pdf: Demonstrates SFT's bottom-up structure formation, natively reproducing the chaotic, clumpy morphologies of early galaxies observed by JWST without dark matter. TheRecombinationHandoffCompanionNote. pdf: Demonstrates that recombination was a fundamental bookkeeping transition activating independent Compton maintenance. 📚 Foundation (Background Reading) These documents synthesize modern physics into an information-theoretic framework, providing an entry point for the paradigm. StructuralSynthesisₒfModernPhysics. pdf — The philosophical and structural underpinning of the SFT paradigm. AppendixAₐndB. pdf — Supporting foundational theorems. 📄 Legacy Papers (Pre-V8. 0) Older standalone readings. The core physics here has been integrated into and superseded by the V10 Master Framework. Included for archival completeness. V7. 3QuantumPhaseOrigin. pdf — The early arXiv preprint demonstrating the 4² geometric unit conversion. V7. 4CountEquationₐnd₄pi2. pdf — The formal action principle and early mathematical decomposition of the 4² ratio. Schwarzschild / TOV / Phase III papers — Early drafts of the strong-field closure. V7. 1ComptonMaintenance. pdf — The initial proposal of the physical mechanism of particle existence. V7. 2FalsifiablePredictions. pdf — Early environment-dependent growth tests. V6BimodalResults. pdf — The original DESI redshift match and CMB compatibility analysis. 💻 Computational Reference (Reproducibility) V6CompanionₐndVerifyBundle. zip — Codebase and data for reproducing the early bimodal expansion results. LocalScreeningSupportBundle. zip — Computational verification for the localized halo/screening mechanics. PhaseIIILocalLedgerCost. zip — Data tracking the transition from the global to the local ledger. Note: The V10 framework was officially locked and published on World Quantum Day (April 14, 2026), honoring the exact h linear phase cycle that drives the universe's geometric expansion. SFT is an evolving framework. For any questions or comments, please visit: https: //x. com/ShaunFosmark