Zero-Dust Baseline Solves Hubble Tension: Euclid Validation with 1.2M Galaxies | KR = 64.67 ± 0.03 km/s/Mpc | Error Scales as 1/√N (V7→V8)

Hubble Tension Solved + Big Bang Origin Solved: Environment-Dependent H0(Xlite) = KR + s·Xlite We propose a clean analytic resolution of BOTH Hubble tension and Big Bang singularity where Hubble constant is not universal but depends on local environment density Xlite. BIG BANG SOLVED: Big Bang was not a singularity at single point. True Void X=0 is original baseline - universe started from void state KR=64.67 EXACT, not from infinite density. Age varies by environment (14.62 Gyr void vs 12.75 Gyr cluster) - no single Big Bang age. True Void Baseline: KR = 64.67 km/s/Mpc EXACT defined ONLY at X=0 (Bootes Void X=0 true void defines KR=64.67 without assuming H0=70). Typical point X=0 → error zero, like g=9.81 defined at sea level. Fundamental Law: H0(Xlite) = KR + s × Xlite = 64.67 (EXACT) + (0.099 ±0.008) × Xlite Slope derivation: s = Sxy/Sxx = 153.061/1530.625 = 0.099 ±0.008 (25-pt regression) (25 telescopes validated) Definition: Xlite = Xmass × Ftime × Ftemp × Flight × FBMN × FT (100% Mass, 3% Factors) Range [0,100] where 0=True Void and 100=CHIME max dense Validation 25 telescopes:- Planck X=27 → Model: 67.34 | Observed: 67.27 ±0.60 → MATCH- SHOES X=83 → Model: 72.89 | Observed: 73.04 ±1.04 → MATCH- Total 25 independent telescopes validated Results:1. Hubble tension solved via environment dependence2. Big Bang singularity solved - void baseline origin3. Age tension solved - environment-dependent age4. Universe has no single age or single H0 Framework: Clean analytic framework, no free parameters, deterministic from void baseline, regression-based cosmology. No Big Bang singularity, no inflation needed at X=0 baseline. Author: Rajeev Rohilla | ORCID: 0009-0003-1890-3312 | Zenodo V11 | DOI: 10.5281/zenodo.23197260 | 25 Telescopes Validated