Experimental predictions of the $E_8\times \omega E_8$ octonionic unification program : A falsification-oriented catalogue for quantum foundations, particle physics, gravitation, and cosmology

Abstract

The $E_8\times \omega E_8$ octonionic unification programme makes empirical claims across quantum foundations, particle physics, gravitation, and cosmology. This catalogue assembles them as possible failure modes rather than a success list, classified by logical strength and distinctiveness. Standing entries include collapse in time with an attosecond cutoff, $m_{\tau }/m_{\mu }=m_s/m_d$, the first-generation $1:4:9$ pattern, and ${\alpha }_s(M_Z)/{\alpha }_{\mathrm{em}}(0)=16$. Version~2 upgrades every sector to the dedicated 2026 papers. Neutrinos: the v1 maximal leptonic phase, a removable-rephasing artifact, is corrected to conditional CP conservation, ${\delta }_{CP}^{\ell }\in \{0,\pi \}$; the minimal Majorana branch commits to inverted ordering with masses $(49.1,49.8,0.76)$~meV, $\Sigma m_{\nu }\simeq 0.10$~eV, $m_{\beta \beta }=18.2\pm 1.2$~meV; the three right-handed neutrinos become diluted $\sim 40$~eV relics closing the matter budget, with a two-epoch dark-radiation fingerprint ($\Delta N_{\mathrm{eff}}\simeq 0.19$ at BBN, $0.05$ at recombination). The second Higgs becomes a full electroweak quartet in a CP-conserving 2HDM near alignment, mass undetermined. Gravitational parity-blindness is derived via three screening theorems, residual violation confined to a quantified operator basket, with CMB TB/EB correlations observable if $r\gtrsim \text{few}\times 10^{-3}$ and a Galactic-supernova triple-timing test at $3\times 10^{-9}$. CKM: two of four degrees of freedom parameter-free ($|V_{us}|=0.237$, $|V_{cb}|=0.042$), the remainder one complex bridge element, fragilities disclosed. The Tsirelson-bound violation is recorded as mechanism-and-sign with magnitude underived, hence not yet falsifiable.

Comments: v2: leptonic CP entry corrected (v1 maximal phase was a removable-rephasing artifact; now delta_CP in {0,pi}, per arXiv:2606.27836); sterile sector updated to cosmological role (~40 eV relics; two-epoch Delta N_eff); second-Higgs, gravity-parity, CKM and Tsirelson entries upgraded to the 2026 papers; 13-row predictions ledger (experiment, timeline, kill condition, date) added