Super-Horizon Anisotropy Theorem + Universal System v7.1 — Complete Unified Formulation with Falsifiable Euclid DR1 Forecast and Hubble Tension Corollary

Author: Stefano Albano, Rome, Italy Email: willyste84@gmail.com ORCID: 0009-0002-5239-0779 Super-Horizon Anisotropy Theorem + Universal System v7.1 — Complete Unified Formulation 1. UNIFIED STATEMENTIn a geometrically flat universe (k=0) originated from Big Bang, driven by inflation and dark energy, expansion is not perfectly isotropic on super-horizon scales. There exists a primordial scalar field gradient Φ_field(x) with |∇ Φ_field| = 1.73 × 10^-4 Mpc^-1 (0.763 rad / 4400 Mpc) < 1×10^-3 Planck threshold, imposing a coherent, deterministic and achromatic drift. 2. METRICds² = -dt² + a²(t) · exp[2·Φ_field(x)] · dx²where t is cosmic time, a(t) standard scale factor, Φ_field slowly varying primordial field, x comoving coordinates. The exponential term preserves flat curvature (k=0) while introducing directional anisotropy. 3. UNIVERSAL SYSTEM v7.1 - 4 Components- ALBANO Formula: [(B * SNR * sqrt(Φ_rel) / f_s) - I_a] * π * Φ_gold, Φ_gold=1.61803- ARTE Formula: [(ρ_grav/ρ_th)*(ρ_mag/ρ_sw)*ρ_XUV]/ρ_norm, η=ρ_ARTE/ρ_vac=2.37e-79- AARI Formula: λ_Jeans * β_mag * ARTE_XUV- D_obs(z) Model: D_obs(z)=D0 + A·ln(1+z), D0=12.19 deg, A=43.71 deg, R²=0.920, p_regr=0.1823, N=3 4. CALIBRATIONz=0.3 BOSS: 24.7±2.1 deg N=12400 ln(1+z)=0.262z=1.0 eBOSS: 38.25±2.6 deg N=8100 ln=0.693z=1.3 DESI Y1: 51.8±1.9 deg N=15200 ln=0.833 5. EUCLID FORECAST - FALSIFIABLE PREDICTIONEuclid Forecast z=1.2: 46.66±0.6 deg, 1σ Prediction, 1900 deg², 0.9 =1)SH0ES Cepheids+SNe Ia z<0.15: H0_obs=73.0±1.0 km/s/MpcΔH0/H0≈8.2% obtained for Φ_field(x_loc)≈+0.08: exp[0.08]=1.083, 67.4×1.083=73.0Compatible with total excursion 0.763 rad and Planck constraint |∇Φ_field|<1e-3 Mpc^-1 Falsifiable prediction: H0_obs(z)=H0_true + A_H·ln(1+z), A_H≈7.5 km/s/Mpc, same dipole direction as D_obs(z), achromatic and deterministic. z=0.3: ~70.2, z=1.2: ~73.3 (Euclid+DESI) Falsification criteria:1. Amplitude exclusion: if <43.7 or >49.7 deg (±5σ) at z=1.2, theory excluded2. Gradient rotation: if dipole direction varies significantly with redshift, invalidated3. Log-scale failure: any systematic deviation from ln(1+z) excludes model4. H0 corollary: if H0 does not grow coherently with ln(1+z) in D_obs direction, or variation is chromatic/isotropic, or required Φ_field>0.15 This is a pre-registration before Euclid DR1 Foundation (November 2026).Related: EGUsphere-2026-5879 The author declares no competing financial or non-financial interests. This research is independent, self-funded, and conducted without affiliation to any institution, company, or funding agency. No data from Euclid Consortium proprietary internal releases were used; only public BOSS, eBOSS, and DESI Y1 data and Euclid public forecast specifications. The work is submitted for open scientific evaluation and falsification. Author: Stefano Albano, Rome, Italy Email: willyste84@gmail.com ORCID: 0009-0002-5239-0779