The Rodarte Hypothesis (v5.1): the three-in-one bond and a sign-switching dark-sector cascade
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Version 5.1 (corrected file, results unchanged): removes draft notes left in the v5 PDF, states that prime 13 is tested at e^L = 14, cites SPT-3G as arXiv:2507.23355v2, restores reference URLs, and adds the Section 4.1 code and data to the package.
Version 5. Corrected test log (retracted v1-v3 numbers removed: two-component exchange 4-11 worse than w0-wa in chi2, three-component chain 0.2-0.4 worse). New Section 4.1: the restricted Weil form studied at hall sizes e^L = 7 to 2000 (positive at every tested hall; prime and continuum parts cannot be separated; certified failures when 29 or 59 is removed; consistency evidence, not a proof of RH). New Section 4.2: the cascade implemented in AxiCLASS and fitted with an early-universe rest (early dark energy) to Planck, DESI DR2 and Pantheon+; 89% of the cascade's improvement survives, and the two together beat LCDM by 10.8 in chi2. The distinct prediction is now stated as a range: dark matter today versus at recombination 0.965-0.974 (LCDM and w0-wa: 1.000). Claim status tags added. Unchanged: the dark-sector statement (no true component crosses w = -1) and kill conditions K1-K5; new K6.ersion 5. Corrected test log (retracted v1-v3 numbers removed: two-component exchange 4-11 worse than w0-wa in chi2, three-component chain 0.2-0.4 worse). New Section 4.1: the restricted Weil form studied at hall sizes e^L = 7 to 2000 (positive at every tested hall; prime and continuum parts cannot be separated; certified failures when 29 or 59 is removed; consistency evidence, not a proof of RH). New Section 4.2: the cascade implemented in AxiCLASS and fitted with an early-universe rest (early dark energy) to Planck, DESI DR2 and Pantheon+; 89% oVersion 5.1 (corrected file, results unchanged): removes draft notes left in the v5 PDF, states that prime 13 is tested at e^L = 14, cites SPT-3G as arXiv:2507.23355v2, restores reference URLs, and adds the Section 4.1 code and data to the package.
f the cascade's improvement survives, and the two together beat LCDM by 10.8 in chi2. The distinct prediction is now stated as a range: dark matter today versus at recombination 0.965-0.974 (LCDM and w0-wa: 1.000). Claim status tags added. Unchanged: the dark-sector statement (no true component crosses w = -1) and kill conditions K1-K5; new K6.