ATHENA V7.0: A Scalar Disformal Vacuum Field as an Effective Alternative to Dark Matter and Dark Energy – Fully Derived Constants, Topological Stability, and Statistical Confirmation of a Central Concentration

We present ATHENA V7.0, an effective field theory where a scalar field Φ(x) (coarse-grained electromagnetic vacuum density) couples disformally to gravity. No particle dark matter or Λ is required. All constants are derived from deeper principles: β_em = 0.1408 as the ratio ⟨Θ⟩/⟨Σ⟩ of temporal to spatial vacuum fluctuations; Z_0 = 5β_em/3 = 0.2347 from five symmetry-breaking stages; γ = β_em²/2 from superfield correlations; R_whim = 10/(3β_em) = 23.67 kpc as the correlation length of the spatial component; n(z) = 3 − 0.65/cosh²(z/0.80) (exact solution from the pre-geometric state); a_0 = ⟨Φ_Λ⟩²/M_Pl ⋅ β_em/Z_0 (MOND scale); and a topological stability rule (powers of two) selecting stable particles (proton, electron). The model fits SPARC rotation curves (χ²=731 vs ΛCDM 4059; ΔAIC=+4328.6), resolves the Hubble tension (H_0=73.2 km/s/Mpc local, n→3 early), reproduces CMB acoustic peaks via toroidal resonance, explains the Bullet Cluster offset (117 kpc, χ²=0.016) through EM inertia, and predicts the cosmic dipole misalignment (134°). Rydberg scale invariance over 38 orders is shown. The XENONnT 40 GeV electron recoil anomaly (4.2σ) matches harmonic index n≈27. We further report a statistical confirmation of the central concentration hypothesis: after vectorially subtracting known local flows from the CatWISE2020 quasar dipole, the residual misalignment with the CMB kinematic dipole is 5.4°. A bootstrap Monte Carlo simulation (100,000 random isotropic directions) yields p=0.0022 (3σ significance). New observational evidence from JWST, rotating cosmic filaments, GW190521 ringdown, Sombrero Galaxy (M104) toroidal magnetic field, and others strongly supports the toroidal Φ-field framework. Modified geodesic equations and a toroidal electron model are derived. Eight falsification tests by 2035 are specified. General Relativity is recovered in the solar system.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-17
DOI
https://doi.org/10.5281/zenodo.20735345
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

ATHENA V7.0: A Scalar Disformal Vacuum Field as an Effective Alternative to Dark Matter and Dark Energy – Fully Derived Constants, Topological Stability, and Statistical Confirmation of a Central Concentration

Mustafa Gökhan Yılmaz
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

ATHENA V7.0: A Scalar Disformal Vacuum Field as an Effective Alternative to Dark Matter and Dark Energy – Fully Derived Constants, Topological Stability, and Statistical Confirmation of a Central Concentration

Mustafa Gökhan Yılmaz
preprint en

Abstract

We present ATHENA V7.0, an effective field theory where a scalar field Φ(x) (coarse-grained electromagnetic vacuum density) couples disformally to gravity. No particle dark matter or Λ is required. All constants are derived from deeper principles: β_em = 0.1408 as the ratio ⟨Θ⟩/⟨Σ⟩ of temporal to spatial vacuum fluctuations; Z_0 = 5β_em/3 = 0.2347 from five symmetry-breaking stages; γ = β_em²/2 from superfield correlations; R_whim = 10/(3β_em) = 23.67 kpc as the correlation length of the spatial component; n(z) = 3 − 0.65/cosh²(z/0.80) (exact solution from the pre-geometric state); a_0 = ⟨Φ_Λ⟩²/M_Pl ⋅ β_em/Z_0 (MOND scale); and a topological stability rule (powers of two) selecting stable particles (proton, electron). The model fits SPARC rotation curves (χ²=731 vs ΛCDM 4059; ΔAIC=+4328.6), resolves the Hubble tension (H_0=73.2 km/s/Mpc local, n→3 early), reproduces CMB acoustic peaks via toroidal resonance, explains the Bullet Cluster offset (117 kpc, χ²=0.016) through EM inertia, and predicts the cosmic dipole misalignment (134°). Rydberg scale invariance over 38 orders is shown. The XENONnT 40 GeV electron recoil anomaly (4.2σ) matches harmonic index n≈27. We further report a statistical confirmation of the central concentration hypothesis: after vectorially subtracting known local flows from the CatWISE2020 quasar dipole, the residual misalignment with the CMB kinematic dipole is 5.4°. A bootstrap Monte Carlo simulation (100,000 random isotropic directions) yields p=0.0022 (3σ significance). New observational evidence from JWST, rotating cosmic filaments, GW190521 ringdown, Sombrero Galaxy (M104) toroidal magnetic field, and others strongly supports the toroidal Φ-field framework. Modified geodesic equations and a toroidal electron model are derived. Eight falsification tests by 2035 are specified. General Relativity is recovered in the solar system.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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