General RSFT Version 10.5.2 Iteration 50

The three uploaded PDF files comprise the Rotational Substrate Field Theory (RSFT) Unified Coherent Edition v50, authored by Anthony James Bell in April 2026. This theoretical framework aims to derive all physical constants and observables from a sub-Planckian substrate and FCC lattice geometry using only two dimensional primitives: the substrate wave speed (c) and the electron mass (mₑ). Volume I: Foundations, Framework & Key Results This volume establishes the theoretical groundwork of RSFT, asserting that no free parameters are introduced anywhere in the theory. Foundational Postulates: It outlines six core postulates, including the existence of an infinite field of sub-Planck touching points (P1) that self-organizes into an FCC lattice (P2). It also introduces "Bell's Medium" (BM), the fraction of substrate points not phase-locked into the lattice, which forms a "Dark Ocean" background (P3). Master Equations: The theory is driven by four master equations. Notable among these is the derivation of the central RSFT constant 2. 609606 (Eq. 4), which is forced by Clifford-torus Hopf topology rather than being a fitted parameter. Core Parameters: Every mass ratio, coupling constant, and cosmological observable is described as a function of. Volume II: v50 New Derivations Volume II details ten specific first-principles advances introduced in version 50 of the program. Key Advances: It includes new derivations for the bottom quark mass (Part CCCLX), the neutron lifetime (ₙ), and the Hubble tension (H₀). Bottom Quark Mass: This derivation uses an "FCC Kink Tower" and a cascade ratio (R 0. 15476) to transition from the charm quark to the bottom quark scale. After applying QCD running and dressing factors, the volume reports a physical result of 4. 183 GeV, which matches the observed value with 0. 0% gap. Hubble Tension: It introduces a second-order BM vacuum polarization correction to address the sound horizon, yielding a value of 72. 91 km/s/Mpc. Volume III: Complete Predictions, Open Problems & Unification Summary The final volume serves as a comprehensive status report on the 237 independent observables derived within the RSFT framework. Observable Classification: Results are categorized based on their precision relative to PDG 2024 values. CLOSED (33): Observables with a gap < 2%, such as 1/₄₌ (exact), the proton/electron mass ratio (1836. 15), and the bottom quark mass (new in v50). NEAR-CLOSED (73): Gaps between 2% and 4%, including the Z boson mass (mZ) and the Higgs mass (mH). ADVANCED (17): Gaps between 4% and 40%, where the physical mechanism is established but precision is pending. Future Targets: It includes a registry of open problems and outlines the targets for the upcoming v51 program. Keywords: Rotational Substrate Field Theory, FCC Substrate Geometry, Zero Free Parameters, Clifford Torus Vortex, Unified Coherent Edition