MANIFESTE DE LA RELATIVITÉ FRICTIONNELLE COGNÉ (RFC) : Beyond Dark Matter, a Unified Topological Perspective

Abstract: The Cogné Frictional Relativity (CFR) is a unifying physical theory modeling spacetime as a globally rotating compressible superfluid. It proposes a theoretical reduction where fundamental forces emerge from fluid dynamics: Time as entropic friction, Matter as asynchronous vortexes stabilized by pressure, Gravity as an aspiration current (Bernoulli), and Electrodynamics as fluid pressure. The theory analytically derives the electron mass not by fitting, but by applying the Virial Theorem to relativistic fluids (Polytrope index 3). It resolves the Hubble Tension via local viscosity and unifies quantum and relativistic interactions through a single Phase Master Equation.

Version History / Changelog

• V31.0 (09/03/2026)

  • Python SDK & Constants Update: Cleaned legacy intermediate constants, replacing them with native topological equations. Fully aligned the computational framework with CODATA 2022 standards (e.g., updated proton radius to 8.4075.

  • Galactic Astrophysics (MOND Phenomenology): Reinterpreted dark matter as an "effective" manifestation of spatial superfluid drag. Derived a new foundational acceleration  linked to local Hubble expansion.

  • Thermodynamics of Horizons: Modeled black hole horizons as fluid membranes with viscous filtering, introducing a visco-elastic chromosphere and a Debye-like relaxation law for Hawking radiation.

  • Quantum of Action ($h$): Added the hydrodynamic rationalization and topological derivation of the Planck constant, demonstrating part-per-billion precision against official observables (Rydberg constant, Compton wavelength).

  • Bare Charge & Renormalization ($\alpha_{nu}$): Provided the ab initio geometric derivation of the bare fine-structure constant, rigorously linking RFC topological vacuum renormalization with QED Ward-Takahashi identities.

  • Cosmological Diagnostics (SDSS/eBOSS): Included exploratory Profile Likelihood diagnostics on historical galaxy catalogs, demonstrating the RFC operator's extended stability in non-linear spatial regimes over standard EFT truncations.

• V30.0 (04/03/2026)

  • Major update to Annex S: Refined the physical interpretation of the photon, Lorentz invariance, and the ab initio derivation of the Planck constant ($h$).

  • Effective Field Theory (EFT) Integration: Introduced a factorized decomposition of photon energy separating bare geometry, topological source dressing (toroidal auto-screening), and 4D radiation coupling, preserving a strictly null photon mass ($m_\gamma = 0$) and standard vacuum propagation ($n=1$).

  • Casimir Effect Reparameterization: Demonstrated the Casimir pressure as the "unclothing" of the vacuum's topological dressing due to metallic boundary conditions, perfectly aligning with the 99.34% analytical prediction and discussing compatibility with Lifshitz theory and Jaffe (2005).

  • Python SDK Update: Upgraded the diagnostic routines to include multi-scale thermodynamic triangulation (CMB, Hubble, MOND, Sonoluminescence) and detailed falsifiable experimental protocols (e.g., superconducting transition for Casimir).

• V29.0 (01/03/2026)

  • Updated Annex S for part 03 (Formal Foundations).

  • Added UV COMPLETION from the Planck scale down to the Quark scale.

  • Integrated Cobaya dataset.

  • Python SDK scripts updated.

• V28.0 (23/02/2026)

  • Updated Annex S to include comprehensive mapping between the RFC framework and standard models (General Relativity, $\Lambda$CDM Cosmology, QED / Quantum Vacuum).

• V27.0 (20/02/2026)

  • Added topological equation to replace and justify the $1/200$ parameter.

  • Python code updated: implemented new equations removing the hardcoded $1/200$ and $\Phi$ dependencies.

  • Reorganized appendices: Annex R renamed to Annex T.

  • Added new Annex R dedicated to the justification of RFC parameters.

  • Added new Annex S focusing on the conceptual mapping with General Relativity.

• V26.0 (19/02/2026)

  • Updated the Lagrangian equation.

  • Defined $1/200$ as a formal parameter.

  • Updated Annex M.

  • Reorganized appendices: Annex Q renamed to Annex R; inserted a newly drafted Annex Q.

  • Python SDK updated to reflect theoretical adjustments.

• V25.0 (18/02/2026)

  • Added vectorial and tensor equations in section 10.

  • Added proton radius derivation in section 10.

  • Artifact release: Added Artifact 001 (Python RFC SDK for computational science).

• V24.0 (18/02/2026)

  • Added the Lagrangian equation in section 9.

  • Added Appendices Q.2.8, Q.2.9, and Q.2.10.

• V23.0 (12/02/2026)

  • Added Annex Q.

• V22.0 (11/02/2026)

  • First Comprehensive Preprint Release.

  • Added Appendices N, O, and P.

• V21.0 (10/02/2026)

  • Added and updated Appendices K, L, and M.

• V20.0 (10/02/2026)

  • Added Appendices F, G, H, I, J, K, and L.

• V19.0 (09/02/2026)

  • Added Annex E.

• V18.0 (07/02/2026)

  • Initial release.