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2. State Locality Theory 2: Structural Foundations, Field Dynamics, and Physical Phenomenology

Mikhail Bespoyasov

Published Jan 1, 2026• 0 citations
Publisher

Abstract

State Locality Theory 2 (SLT‑2) is a multi‑layer theoretical framework that explores locality, mass, and manifestation as structural consequences of differences in a homogeneous field. The project consists of three interconnected parts: Foundations — the ontological and geometric core (axioms, primary difference, waves, nodes, hierarchy of levels n); Dynamics — a compatible dynamical layer based on a universal nonlinear field, providing stability of nodes, localization dynamics, and structural interpretation of decoherence; Phenomenology — numerical and conceptual alignment with observed particle masses, QFT spectral structure, and experimentally testable predictions such as gravitationally enhanced decoherence. SLT‑2 does not modify the equations of quantum mechanics or relativity and does not claim to be a fundamental physical theory. It is a structured exploration of the consequences of a single ontological hypothesis and a platform for developing, refining, and testing structural models of manifestation. This OSF project hosts the evolving documents, derivations, and extensions of SLT‑2.

DOI
10.17605/osf.io/cmvj5

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State Locality Theory 2 (SLT‑2) is a multi‑layer theoretical framework that explores locality, mass, and manifestation as structural consequences of differences in a homogeneous field. The project consists of three interconnected parts: Foundations — the ontological and geometric core (axioms, primary difference, waves, nodes, hierarchy of levels n); Dynamics — a compatible dynamical layer based on a universal nonlinear field, providing stability of nodes, localization dynamics, and structural interpretation of decoherence; Phenomenology — numerical and conceptual alignment with observed particle masses, QFT spectral structure, and experimentally testable predictions such as gravitationally enhanced decoherence. SLT‑2 does not modify the equations of quantum mechanics or relativity and does not claim to be a fundamental physical theory. It is a structured exploration of the consequences of a single ontological hypothesis and a platform for developing, refining, and testing structural models of manifestation. This OSF project hosts the evolving documents, derivations, and extensions of SLT‑2.
Part III completes the three-layer architecture of State Locality Theory 2 (SLT-2) by providing a phenomenological framework that translates the structural ontology and effective dynamics of SLT-2 into concrete, experimentally testable predictions. No new free parameters are introduced beyond the localization constant α inherited from SLT-1. The document formulates an operational protocol for applying SLT-2 to real systems, constructs a regime map in mass–path-separation parameter space, derives quantitative visibility predictions for molecular interferometry, nanoparticle interferometry, and superconducting systems, and specifies falsifiability criteria. SLT-2 predicts gravitationally enhanced decoherence in the 10⁵–10⁶ amu range (ΔV ∼ 0.5–5%), suppressed sensitivity in superconducting phases, a pressure-independent visibility plateau in ultrahigh vacuum, and full coherence of neutrinos over astronomical baselines. The structural mass hierarchy is discussed honestly as a scale of node complexity, not a mass formula.
This work introduces the State Locality Theory (SLT), a phenomenological framework describing the quantum–classical transition through a single continuous parameter of locality. The theory proposes that quantum behavior arises from low-locality states, while classical behavior emerges as locality increases, with decoherence interpreted as a natural consequence of this transition. SLT provides a unified explanation for interference visibility, gravitational amplification of locality, and the suppression of nonlocal correlations in macroscopic systems. The framework is formulated without modifying quantum mechanics, instead offering a phenomenological layer that clarifies how classicality emerges from quantum foundations. The theory outlines testable predictions, discusses implications for measurement, and proposes a structured approach for extending SLT toward a full dynamical formulation.
This work develops a phenomenological model of residual decoherence in superconducting transmon qubits within the framework of State Locality Theory (SLT‑2). The model treats a qubit as a stable localized field configuration and introduces a frequency‑dependent localization rate that increases at lower transition energies. Using phenomenologically calibrated parameters, the model predicts a fundamental coherence‑time ceiling in the millisecond range and yields a falsifiable experimental signature: after subtracting all known noise mechanisms, the remaining decoherence rate should scale linearly with the inverse qubit frequency. Comparison with recent state‑of‑the‑art devices suggests that the SLT‑2 contribution may already constitute a significant fraction of the residual decoherence budget in low‑frequency qubits. The work also outlines an experimentally accessible protocol for testing this prediction using tunable‑frequency transmons. Additional SLT‑2 materials, extensions, and working notes are available in the associated OSF project: 10.17605/OSF.IO/CMVJ5.
Universal Depth Theory (UDT) v1.0 proposes a structural framework in which physical description is organized by restricted observable access rather than by scale, energy, or ontological layering. “Depth” is defined operationally as a nested family of accessible observable algebras, with effective locality, causal structure, and interaction regimes emerging only under additional conditions such as decoherence and redundancy. This version does not present field equations or a complete dynamical theory. Instead, it isolates a minimal invariant core, formulates explicit axioms, and identifies diagnostic distinctions between causal-access geometry and correlation-based geometry. The framework is intended as a foundation for subsequent theoretical development and for falsifiable operational tests of access-dependent causal structure. This document represents an early conceptual version of the theory (v1.0) and is provided to establish priority and document the initial formulation. Later versions refine definitions, constraints, and test protocols; continuity with this version is explicitly preserved.
Modern theoretical physics rests on two highly successful but conceptually distinct frameworks: quantum mechanics and general relativity. While both theories are experimentally confirmed to high precision within their respective domains, they rely on fundamentally different starting points. General relativity takes spacetime as a primitive geometric structure, whereas quantum mechanics is formulated in terms of abstract state spaces without intrinsic spacetime meaning. Most approaches to quantum gravity attempt to reconcile this tension by modifying, quantizing, or discretizing spacetime itself. Even in approaches where spacetime is said to be “emergent,” it typically remains the primary conceptual backdrop on which physical processes are defined. Despite extensive efforts, there is no consensus on whether spacetime should be regarded as fundamental or derivative. In this work, a more radical starting point is explored. Rather than modifying spacetime or its geometry, we ask whether spacetime can be excluded entirely from the fundamental layer of the theory and recovered only at a later, operational stage. The central question is not how spacetime behaves, but whether the notion of “what lies between physical objects” must be spatial or temporal at the most fundamental level. We propose a framework—referred to here as Super Relativity (SR)—based on a single pre-geometric postulate: the existence of a monotonically expanding set of possible quantum configurations, referred to as the flux. Formally, this flux is represented as a monotone, σ-finite family of capacity measures on a common configuration space (introduced in Section 2). This postulate deliberately refrains from assuming spacetime, time ordering, metric structure, causality, or dynamics. Within this pre-geometric core, two derived, dimensionless notions are introduced: utilization, describing the realization of configurations, and saturation, defined as the ratio between utilized and available configurations. A central structural element of SR is the strict separation between a core layer and an interface layer. In the core layer, all quantities are pre-geometric and dimensionless, and no reference is made to space, time, motion, energy, or interaction. Only at the interface layer are operational notions introduced, including clocks, rulers, and signal propagation. Spacetime, in this construction, is not a dynamical entity but an effective bookkeeping structure that encodes relative rates of change once a calibration to physical units is performed. Within this framework, gravitational phenomena do not originate from spacetime curvature taken as fundamental. Instead, they arise from variations in saturation that, at the interface level, manifest as uniform rescalings of physical processes. When expressed in geometric language, these rescalings reproduce the standard predictions of general relativity, including gravitational time dilation and the equivalence between gravitation and acceleration. The invariant local speed of light is not postulated but follows as a derived consequence, since both clock rates and signal propagation are affected identically by the same underlying saturation mechanism. The aim of this paper is not to introduce new empirical predictions beyond those of general relativity, nor to present a complete theory of quantum gravity. Rather, the objective is foundational: to demonstrate that the mathematical structure of general relativity can be reconstructed from a single pre-geometric postulate without assuming spacetime as part of the fundamental ontology. In this sense, SR should be understood as a reconstruction and reinterpretation of known physics, rather than as a competing dynamical theory. An extended and fully explicit formulation of the framework, including all intermediate steps, is available in a companion preprint (version V12) deposited on Zenodo. The present paper restricts itself to the minimal conceptual and mathematical structure required to establish logical consistency and to demonstrate the emergence of general-relativistic behavior at the interface level.
Description: Just a World Building project exploring fictional physics frameworks. Building on the foundational concepts introduced in previous versions, this document presents the complete "Structural-Dynamic Theory" as an in-universe theoretical physics paper authored by Valu Eria. [In-Universe Abstract] We present a unified ontological framework for physical reality grounded in one brute-fact assumption and four structural axioms, unified by a single geometric mechanism: the non-invertible projection of a complete, static structure onto an observable domain. From this mechanism alone we derive temporal irreversibility, the measurement transition, the Born rule, the emergence of gauge symmetry, and the holographic compression of information. The framework yields three qualitative empirical predictions—a sharp decoherence transition, a gravitational wave frequency cutoff, and a structural energy deficit in compact systems. [Version 3 Updates] This version introduces a categorical interpretation of Π\PiΠ (treating the projection operator as a functor), a reformulation of the actualization operator, extended open problems for quantitative development, and a full consistency audit to give the fictional framework realistic depth. Disclaimer: This is a creative speculation exercise in hard sci-fi worldbuilding, not a claim about actual physics. The mathematical structures and predictions are interpretative elaborations.