Year: 2026
Type: preprint
Abstract: ZEBTS‑SUPER introduces a new operator–spectral framework in which χ‑Absolute, the Boundary (Flaitrons), and χ‑Reality form a rigorously proven triadic structure. χ‑Absolute is the continuous substrate; Flaitrons are its discrete actualizations; χ‑Reality is the spectral manifestation produced by the internal action of the Boundary operator 𝑇 𝑥 . This cycle — χ‑Absolute → Boundary → χ‑Reality → new Boundary — is mathematically closed, self‑deterministic, and spectrally complete. Sections 11 and 12 establish the analytic chain linking PT‑symmetry, the intertwining identity, the Euler‑product structure, the determinant functional equation, growth order, zero density, and confinement. Numerical tests (T1–T6) confirm spectral density, growth‑order gap, phase linearity, self‑dual geometry, and spacing structure. Analytically, the completed determinant 𝐷 ^ ( 𝑧 ) (conditionally) attains growth order 1, exhibits Riemann–von Mangoldt zero density, and satisfies quadruple symmetry. Under the functional equation, all zeros lie on the self‑dual circle, yielding the Riemann Hypothesis as a corollary. The global novelty of ZEBTS‑SUPER is structural: it provides the first rigorous model in which matter, space, time, and physical laws emerge from a single operator acting on χ‑Absolute. The Triunity of Substance is thus proven, and RH appears as a consequence of this deeper ontological law.
Author: Anatolii Mukha
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225643543