This revised paper demonstrates computational refinements in Lagrangian dynamics, indicating new benchmark details for collider physics.
This revised Paper 047 records the v5 update of the H4/E8 octonionic framework. It extends the previous E8 Lagrangian and BSM72 benchmark paper by incorporating two new computational refinements: a Gamma-9 chirality audit for the komaru dot-label sector and a golden-ratio construction of the CKM CP phase. The paper retains the effective field equation (i gamma^mu D_mu - M(k)) psi(k) = 0, where the geometric mass function is M(k) = M_Z phi^(q_H(k)+1/phi) lambda^|Q(k)|. The rest-frame relation E = M(k)c^2 is treated as the p = 0 limit of the Dirac dispersion relation within the model, not as a replacement of special relativity. The v5 update improves the dot-count audit to 40/48 while preserving a conservative interpretation of the dot-sign sector, which remains incomplete. It also introduces the CKM phase ansatz delta_CP = 2 arctan(1/phi) = 63.435 degrees and reports a CKM magnitude reconstruction with an average error of approximately 1.22% under the stated Fritzsch and benchmark inputs. The BSM72 spectrum is retained as a falsifiable six-level collider benchmark from 586.6 GeV to 1207.2 GeV, with updated LHC Run 3 / HL-LHC timing language reflecting the current CERN schedule.
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Takada et al. (2026) studied this question.
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