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๐ Academic Abstract: Unveiling the Genesis of Mass and Force through Topological Field Vortices and the Golden EquationThis work presents a profound re-evaluation of fundamental physics, proposing a topologically-driven Quantum Field Theory (QFT) that fundamentally redefines the origin of Matter, the dynamics of Forces, and the mechanism of Mass generation. We posit that elementary particles are not merely point-like excitations, but rather persistent, quantized Topological Vortices within universal quantum fields, whose inherent geometric and topological properties dictate their characteristics.Deciphering Field Singularities and the Enigma of MassWe rigorously derive a framework where these field vortices emerge as stable solutions to modified non-linear field equations. Crucially, this topology-driven approach provides a novel explanation for the discrete quantum numbers (charges) observed in nature, linking them directly to the conserved invariants of these vortex structures. The generation of mass, traditionally attributed solely to the Higgs mechanism, is herein augmented by a topological inertial mass contribution, where the self-energy and structural complexity of the vortex within the Higgs condensate play an essential, quantifiable role. This mechanism offers a compelling pathway to resolve long-standing puzzles such as the fermion mass hierarchy and the origin of lepton and quark generations.The Dynamics of Forces and the Golden EquationFurthermore, our theory illuminates the intricate interplay between these topological excitations, demonstrating how their interactions give rise to the fundamental forces. We present an extended Gauge Theory where the exchange bosons are derived from the dynamic deformations and couplings between these vortex configurations. Intriguingly, initial investigations into the stability and interaction dynamics of these systems reveal the emergence of a "Golden Equation" (or set of equations). This specific mathematical relation, distinct from Fermi's Golden Rule but perhaps intertwined with deep underlying symmetries, governs the most energetically favorable transitions and interactions between topological states, predicting hitherto unobserved resonances and interaction channels in high-energy phenomena.A Call for ReconsiderationThis paper challenges conventional interpretations, offering a compelling, self-consistent alternative that synthesizes geometric, topological, and field-theoretic principles. We invite the physics community to engage with this robust theoretical framework, which not only accounts for existing phenomena but also provides testable predictions for new states of matter and novel interaction pathways, particularly in extreme energy regimes. This work is poised to significantly advance our understanding of the universe's most fundamental constituents and their profound interconnections.Keywords: Quantum Field Theory, Topological Vortices, Higgs Mechanism, Mass Generation, Fundamental Forces, Beyond Standard Model, Golden Equation, Solitons, Gauge Theory.
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2025-10-29
- DOI
- https://doi.org/10.5281/zenodo.17717454
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00