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 $\alpha_s(M_Z)/\alpha_{\rm em}(0)=16$. 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, $\Sigma m_\nu\simeq0.10$~eV, $m_{\beta\beta}=18.2\pm1.2$~meV; the three right-handed neutrinos become diluted $\sim\!40$~eV relics closing the matter budget, with a two-epoch dark-radiation fingerprint ($\Delta N_{\rm eff}\simeq0.19$ 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 $r\gtrsim\text{few}\times10^{-3}$ and a Galactic-supernova triple-timing test at $3\times10^{-9}$. 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.