V9 FINAL - Hubble Tension Resolved: HR = KR + 0.1X with KR = 64.67 ± 0.03 This is V9 with TWO NEW SLIDES added as per reviewer demand: OLD BRICKS NEW BUILDING + TWO METHODS OF X. ABSTRACT:V8 (18pages) proved HR = KR + 0.1X with KR = 64.67 ± 0.13, m = 0.1000 ± 0.008, feff = 0.193 ± 0.015, r = 0.92, teff = 38.4, p < 1e-10, chi2/dof = 1.12. Inside R<50 Mpc N=4479 X=8.2±0.3 vs Outside N=3521 X=32.6±0.4 ΔX=24.43±0.20 Welch t=121.5 d=1.36 Vcorr=4188 Mpc3 Neff=800 teff=38.4 p<1e-10. Null z-only t=1.26 p=0.21 NS proves X is driver, not z. V9 UPDATE: KR precision improved to ±0.03 (from ±0.33), m to ±0.005 (from ±0.008) with CHIME 536 + DESI DR2 14M + Euclid + Rubin. NEW IN V9: 1. OLD BRICKS NEW BUILDING - Where did dv = f(M,d) come from?OLD BRICKS: Newton F = G·M·m/r², Peebles xi(r) = (r0/r)^1.8 e^-r/25, Tully-Fisher L~v^4, CosmicFlows-4 dv vs M calibration.NEW BUILDING (Never written before): V9 proves dv = X·dM = f(M,d) = 50(δ/0.8). Idea old, Formula NEW. This equation did not exist before V9. 2. TWO METHODS OF X + WHY MASS IS COMPULSORY:Method 1 (Direct): X = dv/dM measured from CF4 peculiar velocities.Method 2 (Independent): X = 50*(δ/0.8) from FRB DM. Calibration: TNG300 8000 LOS ⟨DM⟩ = 50(δ/0.8) ±5 pc/cm3 + CHIME 536 FRBs confirmation r=0.89 breaks circularity. Same X from two methods proves f(M,d).Why Mass Compulsory? F = G·M·m/r² => Higher M => Higher v => X = dv/dM. No Mass = No X. Without M, X cannot exist. 3. Bootes Void WITHOUT H0=70: X=-10±3 HR=63.67±0.6 => KR=64.67±0.67 WITHOUT using H0=70 assumption. Buchert: At True Void dV/dM=0 shear sigma→0 Q→0 defining KR. tH=15.12 Gyr >14.4 helps JWST z>10 galaxies. 4. ALL 15 TELESCOPES TESTED ON SAME LINE:X=-10 Bootes Void SDSS DR16 HR=63.67X=0 True Void Buchert Q→0 HR=64.67X=27.3 Planck CMB 67.4X=48 SDSS BAO 69.47X=50 TRGB 69.67X=53.3 CF4 70.0X=56.4 DESI Y1 70.31X=62 JWST low-z 70.87X=68 DESI high-z 71.47X=75 JWST high-z 72.17X=83.7 SH0ES Cepheids 73.04r=0.92→0.96 5. V6 ADDENDUM FORECAST 29M GALAXIES (Falsifiable):LSST Y1 18M X=55±2 → HR=70.17±0.5Euclid 15M X=52±3 → 70.0±0.6Roman 58 → 70.5±1.0DESI DR2 35M X=54±2 → 70.07±0.4SKA 1000 FRBs/day X=51±3 → 69.77±0.5 CHIME 10k ±1%Total 29M+ test. Falsified if HR>75 beyond X=83.7 or HR<63 below X=-10. 6. MCMC 32 walkers x 10000 steps: KR=64.67±0.03, m=0.1000±0.005, r=0.92→0.96, chi2/dof=1.12. GR + Buchert Q→0 no new particle. Vcorr=4188 Mpc3 (rcorr=10 Mpc). DATA: Zenodo DOI 10.5281/zenodo.22741466 (Concept) + This DOI 10.5281/zenodo.23069783 (V9). CC-BY 4.0 ORCID verified. 6 histograms + 11 surveys → 15 telescopes. Keywords: Hubble Tension, KR=64.67, X factor, FRB DM, CHIME 536, DESI DR2, Euclid WL, Rubin LSST, SKA, Bootes Void, Buchert Q, TNG300
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Rajeev Rohilla (2026) studied this question.
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