GRP Addendum — CMB Decoupling Theorem and Dark Matter Reinterpretation
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| Langue: | anglais |
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2026
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| _version_ | 1866901841925636096 |
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| author | Lane-larquey, Olivier |
| author_facet | Lane-larquey, Olivier |
| contents | <p>This addendum develops the CMB-sector closure of the Geometric Relay Programme (GRP), built on the Entangled Relativity action of O. Minazzoli, S = -|C| ∫ L_m^2/R sqrt(-g) d^4x.</p> <p> </p> <p>The central result is an exact decoupling theorem at recombination. In Entangled Relativity, the matter Lagrangian L_m enters the action explicitly, so the usual perfect-fluid ambiguity becomes physical. This work argues that, for radiation, the correct object is the microscopic electromagnetic Lagrangian L_EM = -1/4 F^2, not the fluid approximation L_m = -rho_gamma. For thermal photons, the E <-> B symmetry of free electrodynamics gives <L_EM> = 0. Together with non-relativistic baryons and electrons, this yields L_m = T at z ≈ 1100, so Entangled Relativity reduces exactly to General Relativity at recombination.</p> <p> </p> <p>The addendum then identifies the relay tension R*(z), scaling as (1+z)^3 in the GRP cosmological mixed regime, with the quantity Omega_m - Omega_b ≈ 0.266 measured in ΛCDM as cold dark matter. In this interpretation, the CMB does not need to be modified: it measures the total matter density in the GR limit, while the geometric relay later accounts for galactic MOND-like behaviour through the same sector.</p> <p> </p> <p>The document also discusses the three CDM-like properties of the relay tension at recombination: matter-like scaling, non-oscillation in the Hubble-frozen regime, and CDM-like clustering through Memory Kernel filtering. A verification script is provided to check the numerical claims using physical constants and Planck 2018 parameters.</p> <p> </p> <p>This addendum does not claim to replace a full Boltzmann-code calculation. It identifies the structural decoupling mechanism and the relay reinterpretation of Omega_cdm, while explicitly marking the full C_l computation as a future test.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20257517 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | GRP Addendum — CMB Decoupling Theorem and Dark Matter Reinterpretation Lane-larquey, Olivier Entangled Relativity Geometric Relay Programme CMB decoupling dark matter reinterpretation matter Lagrangian Lm ambiguity electromagnetic Lagrangian recombination cosmic microwave background cold dark matter MOND geometric relay scalar-tensor theories Planck 2018 modified gravity <p>This addendum develops the CMB-sector closure of the Geometric Relay Programme (GRP), built on the Entangled Relativity action of O. Minazzoli, S = -|C| ∫ L_m^2/R sqrt(-g) d^4x.</p> <p> </p> <p>The central result is an exact decoupling theorem at recombination. In Entangled Relativity, the matter Lagrangian L_m enters the action explicitly, so the usual perfect-fluid ambiguity becomes physical. This work argues that, for radiation, the correct object is the microscopic electromagnetic Lagrangian L_EM = -1/4 F^2, not the fluid approximation L_m = -rho_gamma. For thermal photons, the E <-> B symmetry of free electrodynamics gives <L_EM> = 0. Together with non-relativistic baryons and electrons, this yields L_m = T at z ≈ 1100, so Entangled Relativity reduces exactly to General Relativity at recombination.</p> <p> </p> <p>The addendum then identifies the relay tension R*(z), scaling as (1+z)^3 in the GRP cosmological mixed regime, with the quantity Omega_m - Omega_b ≈ 0.266 measured in ΛCDM as cold dark matter. In this interpretation, the CMB does not need to be modified: it measures the total matter density in the GR limit, while the geometric relay later accounts for galactic MOND-like behaviour through the same sector.</p> <p> </p> <p>The document also discusses the three CDM-like properties of the relay tension at recombination: matter-like scaling, non-oscillation in the Hubble-frozen regime, and CDM-like clustering through Memory Kernel filtering. A verification script is provided to check the numerical claims using physical constants and Planck 2018 parameters.</p> <p> </p> <p>This addendum does not claim to replace a full Boltzmann-code calculation. It identifies the structural decoupling mechanism and the relay reinterpretation of Omega_cdm, while explicitly marking the full C_l computation as a future test.</p> |
| title | GRP Addendum — CMB Decoupling Theorem and Dark Matter Reinterpretation |
| topic | Entangled Relativity Geometric Relay Programme CMB decoupling dark matter reinterpretation matter Lagrangian Lm ambiguity electromagnetic Lagrangian recombination cosmic microwave background cold dark matter MOND geometric relay scalar-tensor theories Planck 2018 modified gravity |
| url | https://doi.org/10.5281/zenodo.20257517 |