What question did this study set out to answer?

The aim is to derive all physical constants and observables using only substrate wave speed and electron mass without free parameters.

May 15, 2026Open Access

General RSFT Version 10.5.2 Iteration 49

Key Points

The aim is to derive all physical constants and observables using only substrate wave speed and electron mass without free parameters.
Introduced a foundational framework based on six postulates.
Developed four core equations including elastic medium Lagrangian.
Categorized 237 observables by status and made new theoretical advances in particle physics and cosmology.
Identified 32 CLOSED, 71 NEAR-CLOSED, and 17 ADVANCED observables.
Achieved high accuracy in predictions for proton-to-electron mass ratio, weak mixing angle, and fine-structure constant.
Outlined open problems for future exploration, including the cosmological constant and baryon asymmetry.

Abstract

The three uploaded PDF files comprise the "Unified Coherent Edition v49" of Rotational Substrate Field Theory (RSFT), authored by Anthony James Bell in April 2026. This theoretical framework aims to derive all physical constants and observables from only two primitives—the substrate wave speed (c) and the electron mass (mₑ) —without introducing any free parameters. Volume I: Foundations, Framework, and Key Results This volume establishes the foundational framework of RSFT, which rests on six primary postulates: Postulates: The theory posits a substrate of sub-Planck touching points that self-organizes into an FCC lattice (Bell's Medium). Particles are described as toroidal vortex rings (Clifford tori), and time is an emergent property based on vortex hops. Master Equations: It introduces four core equations, including an elastic medium Lagrangian and a derived "Velocity Budget" that encodes Lorentz invariance without postulating it. Key Parameters: Central to the theory is the derived Clifford torus constant (2^5/6^1/3 2. 6096), from which subsequent derivations flow. Progress Summary: It lists 237 total observables, categorized by their status: 32 CLOSED, 71 NEAR-CLOSED, and 17 ADVANCED. Volume II: v49 New Derivations Volume II details eight major theoretical advances achieved in the v49 update: Particle Physics Refinements: Updates to the strange quark mass (mₛ) using NNNLO condensate and strange-sea quark loops, and a new two-loop derivation of the Fermi constant (GF). Hadronic Properties: Improvements to the proton charge radius (rₚ) through pQCD short-distance core corrections and refined neutron lifetime calculations. Cosmology and Mass: New derivations for the Top quark pole mass, the Hubble tension (via non-perturbative phonon drag), and the charm quark mass. Volume III: Complete Predictions and Unification Summary The final volume provides a comprehensive registry of the theory's predictive status as of April 2026: Observables Registry: Tables listing RSFT v49 values alongside PDG (Particle Data Group) observed values. Key Results: Highlights highly accurate "CLOSED" results such as the proton-to-electron mass ratio (Mₚ/mₑ), the weak mixing angle (²W), and the fine-structure constant (1/₄₌). Future Outlook: Identifies "Open Problems, " such as the cosmological constant and baryon asymmetry, which are targeted for the future v50 programme. Keywords: Rotational Substrate Field Theory, FCC Lattice Geometry, Clifford Torus Vortex, Fundamental Physical Constants, Unified Physics Framework

General RSFT Version 10.5.2 Iteration 49

Key Points

Abstract

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