Theoretical study demonstrates mass quantization across elementary particles via Plast graph topology, suggesting a parameter-free mechanism for particle mass hierarchies.
Abstract (English) Building on the ontological framework of the Unified Wave Cosmological Model (UWCM), where mass is defined as the energy of a localized node and dynamics as the energy of connections, a universal discrete formula for the mass spectrum is derived. The hierarchy of generations emerges from the binary logic of the Plast graph, while the difference between fermions, bosons and quarks is explained by their topological capacity N₀. The model is verified against PDG data with an accuracy of <0.1% for leptons without the introduction of free parameters. A detailed list of open challenges for further formalization is provided. Philosophy of UWCM: The model does not claim ultimate truth. It offers a minimal ontology (Plast, SGW, the Internal Observer principle) and invites dialogue: «Explain it better, with fewer initial postulates.» All open questions are honestly identified in the text as an invitation to collaborate. Keywords (English) mass quantization; elementary particle masses; fermion generations; quark mass spectrum; boson masses; Plast topology; discrete spacetime; information ontology; fine-structure constant (α); hierarchy problem; Beyond Standard Model (BSM); research program; dark energy evolution Λ(z); Planck scale; topological graph; binary hierarchy; PDG verification; UWCM; Unified Wave Cosmological Model.
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Gleb Slavutskiy (2026) studied this question.
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