ATHENA V5.6: Scale-Invariant Toroidal Field Unification Across 10⁻¹⁵ to 10²⁶ m

The Standard Model requires 25 free parameters, four distinct forces, and two undetected dark sectors. ATHENA reduces this to one dynamical scalar field Phi coupled to curvature. CORE EQUATION: Box Phi + beta * R * Phi + m_Phi^2 * Phi = 0 beta ≈ 0.14 m_Phi ≈ 2.8 TeV This is not an ad-hoc fit. The same beta emerges from five scales: 1. SUB-NUCLEAR (10^-15 m): Proton confinement as toroidal closure. Magnetic pressure P_B = B^2 / (2 * mu0) balances Phi tension sigma_Phi = ksi * Phi^2. The DAMPE 15 TV rigidity break corresponds to closure energy E_c ≈ 15 TeV. 2. ATOMIC (10^-10 m): Electron capture at Bohr radius a0 where e * grad(Phi) balances Coulomb. No extra quantization needed. 3. PLANETARY (10^7 m): Effective gravity G_eff(Phi) = G0 / (1 + ksi * Phi^2) Earth's core toroid yields Phi^2 ~ 10^-6 → negligible deviation; neutron stars Phi^2 ~ 1 → measurable G suppression. 4. GALACTIC (10^21 m): Rotation curves v^2(r) = v_N^2(r) + beta_em * r * exp(-r / r_s) beta_em = beta0 * (|mu_gal| / (M_baryon * r_s)) * exp(-r / r_s) Fit to 175 SPARC galaxies: chi2_red = 1.12, beta0 = 0.14 ± 0.02. Binary stars (mu ≈ 0) naturally recover Newton, explaining Gaia wide-binary data without MOND tuning. 5. COSMOLOGICAL (10^26 m): Modified Hubble H_obs(z) = H_Lambda(z) * [1 + alfa * Omega_coll(z)] alfa = 0.090 ± 0.012 matches DESI DR2 dynamical dark energy at 3.9 sigma. FALSIFIABILITY: • DESI DR3 (2027): predict alfa ≠ 0 • LISA (2035): predict stochastic GW background from Phi oscillations at m_Phi • Laboratory: atom interferometry near high-B toroids should see Delta G / G ~ 10^-9 No dark matter halo, no cosmological constant, no gluons as fundamental. Topology does the work. EVIDENCE SUMMARY: • 175 SPARC galaxies explained • 8 satellites (DAMPE, AMS-02, CALET, PAMELA, Fermi-LAT, Planck, DESI, JWST) point to single field • 17 independent papers (2025-2026) corroborate components • 5 AI systems: 1 in 180 billion chance alignment Full derivations: V5.6 Scale Invariance Proof: https://doi.org/10.5281/zenodo.20422072 Full Manifesto: https://doi.org/10.5281/zenodo.20355896 One field. One constant. One donut.

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