What question did this study set out to answer?

This work aims to refine physical constants and observables using fundamental dimensional primitives. It explores interconnected theoretical concepts through new derivations and historical data.

May 15, 2026Open Access

General RSFT Version 10.5.2 Iteration 48

Key Points

This work aims to refine physical constants and observables using fundamental dimensional primitives. It explores interconnected theoretical concepts through new derivations and historical data.
Introduces a framework based on FCC lattice geometry and self-organizing substrates.
Outlines six core postulates and presents master equations governing the model.
Compares derived values with experimental data across 229 observables.
Refined strange quark mass at 96.47 MeV and proton charge radius at 0.74597 fm through updated calculations.
Reduced Hubble tension gap to 2.05% with a derived H_0 value of 71.54 km/s/Mpc.
Confirmed that the model introduces no free parameters, with all structure emerging from FCC geometry.

Abstract

These three PDF files comprise the Unified Coherent Edition v48 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 dimensional primitives: the substrate wave speed (c) and the electron mass (mₑ). Volume I: Foundations, Framework, and Key Results v1-v47 Core Philosophy: Assumes an infinite field of sub-Planck touching points that self-organize into a Face-Centered Cubic (FCC) lattice. Fundamental Postulates: Outlines six postulates, including the "Velocity Budget" (vₒ₏₈₍² + v² = c²) and time as a mechanical count of vortex hops. Master Equations: Presents four core equations that dictate all subsequent derivations, centered on an elastic medium Lagrangian and Clifford-torus vortex topology. Historical Data: Provides a comprehensive parameter table and results for 229 observables derived in previous versions (v1-v47), categorizing them as "Closed, " "Near-Closed, " or "Advanced". Volume II: v48 New Derivations Strange Quark Mass (mₛ): Refines the mass to 96. 47 MeV by adding NNLO condensate and charm-sea quark contributions. Proton Charge Radius (rₚ): Updates the radius to 0. 74597 fm using a two-loop pion-cloud correction. Hubble Tension: Proposes a mechanism where FCC phonon drag on the CMB sound horizon reduces the Hubble tension gap to 2. 05%, deriving a value of H₀ = 71. 54 km/s/Mpc. Other Advances: Includes new derivations for the Fermi constant (GF), neutron lifetime (ₙ), leptonic CP phase, and electroweak oblique parameters. Volume III: Complete Predictions, Open Problems, and Unification Summary Predictions Registry: A detailed master table comparing 229 RSFT-derived values against experimental PDG (Particle Data Group) observations. Open Problems: Identifies remaining challenges for version v49, such as the cosmological constant (currently at a -60 order gap) and the baryon asymmetry factor. Unification Summary: Reaffirms that the model introduces no free parameters or auxiliary constants, with all structure emerging from FCC geometry and Hopf invariant conditions. Keywords: Rotational Substrate Field Theory, FCC Lattice Geometry, Clifford-Torus Topology, Unified Physics, First-Principles Derivation

General RSFT Version 10.5.2 Iteration 48

Key Points

Abstract

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