Topological network at the Planck scale in the ZEBTS framework: flytrons, triune substance, and foundations of quantum physics
Year: 2026
Type: preprint
Abstract: We submit “Flytrons in ZEBTS: a Planck‑scale topological network and the emergence of quantum principles” for consideration. The paper presents the ZEBTS framework: quantum features and the Yang–Mills mass gap are derived from discrete topology, APS‑type index theory, and spectral geometry without free parameters. Key contributions: construction of APS‑triunities and the Flytronus operator on discrete networks; proofs of the spectral gap and APS‑index stability (yielding an analytical route to the mass gap); derivation of core quantum principles from network geometry; explicit 𝑁 = 3 , 4 N=3,4 examples with matrix analysis; geometric realization of arithmetic structures as curvature perturbations. The work offers a unified, parameter‑free model linking topology, spectra, and arithmetic to physics. All arguments are self‑contained; we welcome reviewers’ feedback and are ready to revise.
Author: Anatolii Mukha
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224891163