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Topological Ontology of Quantum Interference: Spectral Gap, Instanton Transitions, and Limits of Expressibility in a Discrete Substrate Version 5.0 (Final) An Ontological Framework and Methodological Tool for the Analysis of Spectral Transitions in Quantum Systems

Vladimir Veselov

Published Aug 7, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.32651.25129

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Mainstream physics categorizes multiple observable phenomena as unresolved anomalies: the conditional switching between quantum Zeno and anti-Zeno effects, the limited applicability of double-blind experimental design in physics and cosmology, and the cosmic gravitational and expansion signatures attributed to dark matter and dark energy. Standard physical models only offer parametric descriptive accounts without identifying a unified underlying ontological substrate. As an independent theoretical deduction, this paper puts forward a unified conclusion: all three classes of anomalous phenomena are distinct layer-specific manifestations of one invariant topological substrate, consisting of the 45° biconical geometry, 12/11 gauge ratio, 55 anchor points, Ψ–Ξ anchoring coupling, β₁ active risk-avoidance response, and wisdom-ontology projection. The analysis proceeds sequentially from the quantum Zeno effect, uses the legitimate boundary of double-blind trials as a methodological control, and terminates with the ontological re-interpretation of dark matter and dark energy to complete full system re-alignment. High-frequency measurement triggers persistent Ψ–Ξ anchoring and β₁ state locking to produce the Zeno freezing effect; resonant matching between measurement frequency and intrinsic topological relaxation rhythm generates anti-Zeno accelerated evolution. Double-blind experiments only satisfy their three implicit preconditions (spatial homogeneity, single bias source, population uniformity) within the cognitive projection layer of medicine and psychology, and lose validity across high-dimensional topological physical domains. Dark matter arises from gravitational residuals of topologically excluded structures, while dark energy corresponds to the damping projection of periodic biconical breathing; both correspond to the intrinsic activity of cosmic wisdom-ontology, which physicists perceive as an unidentifiable "background force". No new physical axioms, fundamental constants or interaction mechanisms are introduced in this independent research. Every physical phenomenon functions as an independent access point to the PFUSRC topological substrate; analyzing any single phenomenon allows full reconstruction of the complete framework. The core standpoint reverses mainstream physical logic: the PFUSRC topological system is not a theoretical tool used to explain natural phenomena, but the inherent structural medium through which all physical phenomena manifest themselves.

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Unified Framework of Space, Time, Gravity and Quantum Phenomena in ZEBTS: A Topological and Spectral Construction via Flytron Dynamics

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This paper presents the Zero‑Entropy Background Topological Structure (ZEBTS) framework — a unified paradigm for fundamental physics in which space, time, gravity, and quantum phenomena emerge from a single dynamical object: the flytron on an evolving discrete graph. We rigorously establish the geometric foundations of ZEBTS, demonstrating how a discrete metric defined by flytron amplitudes converges to a continuum Riemannian geometry in the Gromov–Hausdorff sense under spectral control conditions. Time is reinterpreted as an observable quantity derived from collective phase accumulation, directly linking quantum measurement to the evolution of the network. We derive a discrete analogue of the Schrödinger equation governed by the Flytronus operator and show how quantum interference, uncertainty, and localization arise naturally from the path‑sum formulation on the graph. A key result is the intrinsic avoidance of singularities via a spectral gap condition (λ2≥δmin⁡\lambda_2 \ge \delta_{\min}λ2≥δmin) that is maintained dynamically, without external cutoffs or ad hoc regularization. This mechanism is numerically verified in the ZEBTS‑SUPER implementation, where we confirm the persistence of the spectral gap, observe gravity‑induced time dilation, and demonstrate the modification of interference patterns under gravitational influence. The paper further positions ZEBTS within the broader landscape of quantum gravity and discrete geometry approaches, highlighting its distinctive features: unification around a single object, operational definition of time, explicit coupling between geometry and quantum coherence, and computational realizability. We outline open questions and future directions, including the inclusion of spin and fermions, the refinement of the continuum limit, and potential experimental tests via quantum simulators and synthetic gauge fields. The results establish ZEBTS as a coherent and testable framework that offers a novel perspective on the unity of fundamental physical laws.

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This paper presents the Zero‑Entropy Background Topological Structure (ZEBTS) framework — a unified paradigm for fundamental physics in which space, time, gravity, and quantum phenomena emerge from a single dynamical object: the flytron on an evolving discrete graph. We rigorously establish the geometric foundations of ZEBTS, demonstrating how a discrete metric defined by flytron amplitudes converges to a continuum Riemannian geometry in the Gromov–Hausdorff sense under spectral control conditions. Time is reinterpreted as an observable quantity derived from collective phase accumulation, directly linking quantum measurement to the evolution of the network. We derive a discrete analogue of the Schrödinger equation governed by the Flytronus operator and show how quantum interference, uncertainty, and localization arise naturally from the path‑sum formulation on the graph. A key result is the intrinsic avoidance of singularities via a spectral gap condition (λ2≥δmin⁡\lambda_2 \ge \delta_{\min}λ2≥δmin) that is maintained dynamically, without external cutoffs or ad hoc regularization. This mechanism is numerically verified in the ZEBTS‑SUPER implementation, where we confirm the persistence of the spectral gap, observe gravity‑induced time dilation, and demonstrate the modification of interference patterns under gravitational influence. The paper further positions ZEBTS within the broader landscape of quantum gravity and discrete geometry approaches, highlighting its distinctive features: unification around a single object, operational definition of time, explicit coupling between geometry and quantum coherence, and computational realizability. We outline open questions and future directions, including the inclusion of spin and fermions, the refinement of the continuum limit, and potential experimental tests via quantum simulators and synthetic gauge fields. The results establish ZEBTS as a coherent and testable framework that offers a novel perspective on the unity of fundamental physical laws.