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[4] ai.viXra.org:2608.0088 [pdf] submitted on 2026-08-26 19:26:33
Authors: Arunas Ostasevicius
Comments: 8 Pages.
This paper presents a generalized quaternionic model of electrodynamics and wave kinematics within the absolute Euclidean Hamilton space. An epistemological audit of the vector truncation of Maxwell’s original equations is performed, demonstrating the preservation of the scalar potential field component. Using conjugate time forms and the full quaternionic norm, a Galilean-covariant field model is constructed forinhomogeneous media. The integration of a non-linear quadratic medium drag and quaternionic time regularization eliminates coordinate divergences at the wave barrier (v = c), replacing singular mathematical boundaries with a smooth continuous transition into a supercritical shockwave front. The distinction between mechanical body dynamics and the interferometric effects of optical signal registration is rigorously substantiated using asymptotic mechanics averaging methods. Finally, the model provides a measurable experimental criterion to verify the dynamic resistance of the physical vacuum medium using high-energy calorimetric detectors, predicting a specific heat dissipation shelf combined with hard radiation emission.
Category: High Energy Particle Physics
[3] ai.viXra.org:2608.0080 [pdf] submitted on 2026-08-23 05:34:36
Authors: Fabrizio Vassallo
Comments: 76 Pages.
Main mathematical result. The exceptional Jordan algebra J3(O) (the Albert algebra, 27-dimensional) admits the associative collapse map π0 : J3(O) → J3(R) with a 21-dimensional kernel. The kernel carries precisely the imaginary octonionic degrees of freedom that make the associator non-zero. We show, within astrongly motivated EFT framework, that when these degrees of freedom are activated(non-zero associator), the natural consistent open-system dynamics on the residualassociative sector J3(R) takes the Lindblad GKSL form whose jump operators arethe Fano-plane associators Lk = √λ[Ak, Bk, Ck]. The chain:J3(O) π0 −→ J3(R) [A,B,C]̸ =0 −−−−−−→ Lindblad decoherence is grounded in the representation theory of G2 = Aut(O) and the Nakajima—Zwanzigopen-system framework [1]. Complete positivity is verified from the G2-symmetry of the Fano plane (the jump operators satisfy P k Lu2020 k L k = 28λ I, the completeness relation for a CP map).Physical application. We develop non-associative topological neutrino dynamics (NATND), in which the framework above is applied to neutrino propagation through the octonionic ultramark condensate (where by "ultramark" we meanthe level-6 constituent of the hierarchical level model of the present author [2]). Thedecoherence rate Γ(E) = g2U E2/(M2U + E2)/MU is a strongly motivated EFT consequence of the derivative-coupling structure of the associator vertex. It provides an alternative to sterile-neutrino oscillations for the gallium anomaly (GALLEX, SAGE, BEST) and the MiniBooNE excess, with the key signature that the deficitis baseline-independent (no L/E pattern) and energy-dependent as E2/(M2U + E2).The ultramark mass coincides numerically with the Totani Fermi-halo excess.
Category: High Energy Particle Physics
[2] ai.viXra.org:2608.0079 [pdf] submitted on 2026-08-23 05:40:30
Authors: Fabrizio Vassallo
Comments: 40 Pages.
We examine whether the hierarchical "level model" (NATND) of the present author [27, 28] admits foundations compatible with the momentum-map account of the Wallstrom controversy for the hydrodynamic (Madelung) formulation of quantum mechanics recently given by Khesin and Modin [1] — who explicitly frame their result as resolving the controversy, against the more cautious backdrop of open technical questions surveyed by Reddiger and Poirier [2], including strong non-quantized solutions they construct in two dimensions. We show that the mechanism resolving Wallstrom’s objections — expressing the quantization condition as a geometricconsistency requirement on a momentum map, rather than an ad hoc postulate —extends level-by-level through the cascade only as long as the relevant structure group remains a genuine Lie group, and identify the precise algebraic obstruction (loss of associativity at the octonionic, ultramark level) at which this mechanism cannot be repeated verbatim. We independently identify, via the topological classification of line and point defects in ordered media, a topological manifestation of the same limitation, correlated with but logically distinct from the symplectic argument:the classification of parallelizable spheres and the Hopf invariant one theorem independently restrict the same dimensions. Finally, we describe — as an open research program rather than a closed result — three independent partial routes toward a rigorous formalization of the "vortices of vortices" mechanism proposed for the origin of the level cascade, together with the concrete obstructions each currently faces.Two appendices provide a self-contained, independently re-runnable computational verification of the discrete-RG bifurcation claims made for Route B (Appendix A for the Diamond toy model, Appendix B for the Fan topology), with full source code included.
Category: High Energy Particle Physics
[1] ai.viXra.org:2608.0056 [pdf] submitted on 2026-08-15 16:39:02
Authors: Karl Simon
Comments: 11 Pages.
AbstractThe Standard Model perfectly describes the system of elementary particles and their interactions, yet it fails to explain why there are precisely three generations of quarks and leptons, and why quarks possess fractional electrical charges. Furthermore, it does not address gravity’s fundamental mechanism in forming spacetime. This paper presents a novel structural model to shed light on these open questions. The model explores how a fundamental particle theory can be constructed from the simplest possible combination of a single chiral particle (b) and its antiparticle (q). Through geometric reflection, four elementary components emerge (b, p, d, q), whose purely topological shapes directly encode chirality and helicity. By introducing an invariant isospin (iI) and an invariant hypercharge (iY), electric charge (Q) is defined as an emergent property of specific substructures within states. The model demonstrates that simple combinatorial rules spontaneously generate structural quartets consisting of one lepton alongside three isomeric quark structures, whose statistical charges correspond exactly to the fractional charges of quarks. [1]Crucially, the model resolves the classic mass paradox and fine-tuning problem of preon theories—where massive binding energies must artificially cancel bare energies—by introducing an intrinsic, algebraic subtraction mechanism within the relationship between the W, Z, and the electron. Through the structural combinations W+Z-W, W+Z-Z, and the complete subtraction W+Z-W-Z -> e, the dynamic mass generation of the weak bosons and the very low mass of the electron are derived directly from state definitions without free parameters. Within this framework, both mass and electric charge emerge as phenomena strictly bound to irregular helicity configurations, identifying the seemingly vanished binding energy as the structural energy equivalent of the electric charge. This mechanism mirrors the immense energy scales conceptually postulated in Majorana-like mass terms for right-handed states without charge. [6] Tthe Higgs boson is naturally identified not as a separate elementary particle, but as the massive, scalar excitation state of the fundamental vacuum (bpdq) showing an inherent structural preference for aligned, "regular" helicities that governs the mass generation and electrical charge of particles.Finally, a potential connection to geometric gravitation theory is suggested, reminiscent of historical attempts to explain gravity as a structural residue between electric attraction and repulsion [4] Here pairs of photons of spin 2 interact via a double spinflip with neutrinos as the fundamental building blocks of all matter.
Category: High Energy Particle Physics