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

Publication Details

Published
2026-11-02
DOI
https://doi.org/10.33774/coe-2026-dstmm
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Topological network at the Planck scale in the ZEBTS framework: flytrons, triune substance, and foundations of quantum physics

Anatolii Mukha
2 links
Noncommutative and Quantum Gravity Theories
preprint

Topological network at the Planck scale in the ZEBTS framework: flytrons, triune substance, and foundations of quantum physics

Anatolii Mukha
preprint en

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.

Noncommutative and Quantum Gravity Theories
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