Topological network at the Planck scale in the ZEBTS framework: flytrons, triune substance, and foundations of quantum physics
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.
Authors
- Anatolii Mukha (ORCID: https://orcid.org/0009-0005-4614-6667)
Publication Details
- Published
- 2026-11-02
- DOI
- https://doi.org/10.33774/coe-2026-dstmm
- Primary Topic
- Noncommutative and Quantum Gravity Theories
- Type
- preprint