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Theory of Manifold Interfaces TMI-QG-2.0: A Minimal Predictive Model of Interface-Induced Geometric Decoherence

Aleksey Salkutsan

Published May 2, 2026• 0 citations
Publisher

Abstract

This text fixes a cautious transition from the physical layer of the Theory of Manifold Interfaces to its quantum-gravitational layer. The text does not claim that quantum gravity has already been solved. Its task is more modest: to introduce an interface framework in which the metric ceases to be a fixed background, geometry is treated as a quan- tum possibility, and the physical interface describes the transition from geometric uncertainty to an effective classical structure of spacetime.

DOI
10.5281/zenodo.19988504

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This text fixes a cautious transition from the physical layer of the Theory of Manifold Interfaces to its quantum-gravitational layer. The text does not claim that quantum gravity has already been solved. Its task is more modest: to introduce an interface framework in which the metric ceases to be a fixed background, geometry is treated as a quan- tum possibility, and the physical interface describes the transition from geometric uncertainty to an effective classical structure of spacetime.
This version considers only the physical layer of the theory that is necessaryfor connecting spacetime geometry and the quantum structure of possibil-ities. The central thesis of this version is: geometry determines the domain of the possible, quantum physics determines the distribution of the possible Conceptually, this means the following. General relativity does not merelyprovide a force field; it provides a geometry of causal admissibility. Quan-tum physics does not provide an arbitrary multiplicity of states; it pro-vides an amplitude distribution over alternatives that are already admis-sible within the given causal geometry.1
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.
Layered Substrate Theory proposes a speculative substrate-based ontology in which spacetime, gravity, time, quantum behavior, entanglement, measurement, and decoherence emerge from deeper substrate-state dynamics. Version 1.1 refines the substrate as a state-bearing, phase-supporting, geometry-generating structure, adds constraint principles for relating known equation forms to substrate behavior, and summarizes toy-model feasibility checks. The framework remains conceptual, not experimentally proven, and preserves no-signaling while outlining open work in formal derivation, metric projection, physical constants, and testability.
This paper proposes a conceptual and mathematical framework connecting quantum decoherence andgravity through the language of motivic geometry and the motivic Galois group. The central idea is that quantumsuperpositions correspond to mixed motivic structures, while gravitational interaction induces a flow towardpure motives via the suppression of extension classes. In this picture, divergences in quantum path integrals arereinterpreted as artifacts of non-admissible motivic weights, and classical spacetime geometry—governed byEinstein’s equations— emerges as a stable fixed point under the combined action of gravitational dynamics andthe motivic Galois group. It is presented explicit toy numerical examples illustrating (i) the resolution ofquantum infinities via motivic periods and (ii) the emergence of classical reality through gravitationally inducedmotivic decoherence. Finally, It is discussed the advantages of this approach relative to existing methods inquantum gravity and decoherence theory.
This paper explores the fundamental nature of spacetime from the perspective of emergent causal structures, rooted in quantum mechanical principles. We propose a theoretical framework that treats spacetime not as a pre-existing background, but as a collective phenomenon arising from the interaction of quantum causal relations. By analyzing the constraints of causality and quantum coherence, we derive key implications for the emergence of classical spacetime geometry and the limits of local realism. Our results suggest a new way to bridge quantum mechanics and gravitational theory, providing a foundation for future studies in quantum gravity and spacetime physics.
We propose a geometric decoherence mechanism within the rotational-order unification framework built upon the Zhang Effective Metric. Stochastic zero-point fluctuations of the internal S³ orientation field generate fluctuations of the effective spacetime metric, imprinting random relative phases on quantum superpositions. The derived decoherence rate scales as M² at leading order, naturally suppressing macroscopic superpositions while preserving coherence for microscopic particles. This mechanism is qualitatively distinct from Diósi–Penrose / Károlyházy gravitational decoherence: the metric fluctuations originate from the internal fibre geometry rather than the mass distribution of the quantum system itself. The fluctuations couple only to massive matter-wave phases at leading order and do not produce photon dispersion. This work predicts a universal, shielding-insensitive noise floor for macroscopic quantum experiments.