Abstract:
This paper introduces Octadynamic Resonance Theory (ORT), a novel theoretical framework posited to provide a more fundamental description of elementary particles and their interactions than that offered by the Standard Model (SM) of particle physics. ORT is founded on the central postulate that all fundamental entities, conventionally described as point-like particles or quantum fields, are manifestations of discrete, stable resonance modes of a single, underlying eight-dimensional entity. The state of this entity is described within a geometric space possessing the algebraic structure of the octonions. Within this framework, the intrinsic properties of particles—such as mass, spin, and charge—emerge as consequences of the specific geometry and topology of their corresponding resonance modes. We demonstrate that the fermion and boson spectra of the Standard Model, along with its characteristic SU(3)×SU(2)×U(1) gauge symmetry, can be derived as emergent features of this octonionic geometry. Furthermore, ORT offers a geometrically unified mechanism for fundamental interactions, supplanting the concept of virtual particle exchange with the direct overlap and transformation of these 8D wavefunctions. The theory’s potential to provide natural explanations for phenomena beyond the Standard Model—including a geometric origin for gravity, a candidate for dark matter, and a rationale for the existence of three fermion generations—is discussed in detail. ORT thus presents a candidate framework for a unified theory of physics, grounded in the exceptional properties of eight-dimensional octonionic algebra.
Yıldırım, E. (2025). Octadynamic Resonance Theory: An Eight-Dimensional Re-evaluation of the Standard Model’s Fundamental Particles and Interactions. Zenodo. https://doi.org/10.5281/zenodo.17039104
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