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TOPOLOGICAL REPRESENTATION COLLAPSE VS. GRAVITY-INDUCED DECOHERENCE: Falsifiable Signatures at the 695.74 eV Mesoscopic Threshold

Mikhail I Aksman

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.25516.22409

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Gravitational decoherence for mesoscopic systems

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TOPOLOGICAL REPRESENTATION COLLAPSE VS. GRAVITY-INDUCED DECOHERENCE

Michael I Aksman

The physical mechanism underlying quantum wave-function collapse remains a central problem in foundational physics. Objective collapse theories, notably the Penrose-Diósi (DP) model,propose that macroscopic superposition is destroyed by gravitational self-energy (∆EG), predicting that collapse scales strictly with mass.We propose an entirely distinct physical mechanism: Topological Representation Collapse.Within the Deterministic Spectral Manifold (DSM-861) framework, wave-function collapse istriggered not by static gravity, but by dynamic enstrophy strain exceeding a specific topologicalmelting threshold (Em ≈ 695.74 eV). This establishes a falsifiable experimental demarcationline in the mesoscopic regime. We demonstrate that highly strained, rapidly rotating, or topologically complex mesoscopic systems (such as driven nanomechanical rotors or rapidly foldingproteins) will undergo spontaneous decoherence significantly faster than predicted by gravityinduced models, while perfectly rigid macroscopic masses may maintain coherence longer.

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TOPOLOGICAL REPRESENTATION COLLAPSE vs. Gravity-Induced Decoherence

Michael I Aksman

The physical mechanism underlying quantum wave-function collapse remains a centralproblem in foundational physics. Objective collapse theories, notably the Penrose-Diósi(DP) model, propose that macroscopic superposition is destroyed by gravitational self-energy∆EG, predicting that collapse time τD = ℏ/∆EG scales strictly with mass. Recent experimental bounds from underground generalized acceleration experiments (AURIGA, Helouet al. 2017) have severely constrained the DP parameter space. We propose an entirelydistinct, falsifiable mechanism: Topological Representation Collapse. Within the DSM-861framework, wave-function collapse is triggered not by static gravity but by dynamic enstrophy strain exceeding the topological melting threshold Em = 695.74 eV. This establishes afalsifiable experimental demarcation line in the mesoscopic regime. We demonstrate fourspecific signatures: (1) Topology vs. Mass—decoherence depends on vorticity, not mass; (2)The Rotor Anomaly—a driven nanomechanical rotor will decohere faster than DP predictswhen rotational energy approaches 695.74 eV; (3) Protein Folding Dynamics—intrinsicallydisordered proteins generate enstrophy gradients that trigger a hard decoherence cutoff; (4)Rigid Mass Coherence—a perfectly rigid, non-rotating mass maintains coherence longer thanDP allows. All four predictions are falsifiable with next-generation mesoscopic superpositionexperiments.

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DISCRETE TOPOLOGICAL WAVE-FUNCTION COLLAPSE

Michael I Aksman

We present a rigorous kinetic theory of objective wave-function collapse grounded in the deterministic structural bounds of the DSM-861 hydrodynamic vacuum. By modeling the local vacuum as a finite 3-torus Cayley distance-graph with exactly 861 vertices, we demonstrate that macroscopic quantum superpositions act as localized perturbations that inject dynamic enstrophy into the discrete fluid network. Utilizing a continuous-time Master Equation together with a local detailed-balance assumption, we derive the stationary nonequilibrium distribution of this driven dissipative system. We introduce explicit kinetic theorems defining the transition matrix, proving that as injected enstrophy increases, the spectral gap closes, forcing a sudden, irreversible Prigogine bifurcation. We mathematically prove this spectral closure rigorously necessitates topological equipartition, yielding an exact, deterministically bounded critical enstrophy threshold of 695.74 eV. We conclude by establishing a quantitative hydrodynamic coupling coefficient, bridging this vacuum threshold to a macroscopic rotational anomaly and providing an experimentally falsifiable signature of wave-function collapse.

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Decoherence from discrete quantum gravity

Rodolfo Gambini, Rafael A. Porto, Jorge A. Pullin

•May 27, 2003•3 citations
The physical mechanism underlying quantum wave-function collapse remains a central problem in foundational physics. Objective collapse theories, notably the Penrose-Diósi (DP) model,propose that macroscopic superposition is destroyed by gravitational self-energy (∆EG), predicting that collapse scales strictly with mass.We propose an entirely distinct physical mechanism: Topological Representation Collapse.Within the Deterministic Spectral Manifold (DSM-861) framework, wave-function collapse istriggered not by static gravity, but by dynamic enstrophy strain exceeding a specific topologicalmelting threshold (Em ≈ 695.74 eV). This establishes a falsifiable experimental demarcationline in the mesoscopic regime. We demonstrate that highly strained, rapidly rotating, or topologically complex mesoscopic systems (such as driven nanomechanical rotors or rapidly foldingproteins) will undergo spontaneous decoherence significantly faster than predicted by gravityinduced models, while perfectly rigid macroscopic masses may maintain coherence longer.
The physical mechanism underlying quantum wave-function collapse remains a centralproblem in foundational physics. Objective collapse theories, notably the Penrose-Diósi(DP) model, propose that macroscopic superposition is destroyed by gravitational self-energy∆EG, predicting that collapse time τD = ℏ/∆EG scales strictly with mass. Recent experimental bounds from underground generalized acceleration experiments (AURIGA, Helouet al. 2017) have severely constrained the DP parameter space. We propose an entirelydistinct, falsifiable mechanism: Topological Representation Collapse. Within the DSM-861framework, wave-function collapse is triggered not by static gravity but by dynamic enstrophy strain exceeding the topological melting threshold Em = 695.74 eV. This establishes afalsifiable experimental demarcation line in the mesoscopic regime. We demonstrate fourspecific signatures: (1) Topology vs. Mass—decoherence depends on vorticity, not mass; (2)The Rotor Anomaly—a driven nanomechanical rotor will decohere faster than DP predictswhen rotational energy approaches 695.74 eV; (3) Protein Folding Dynamics—intrinsicallydisordered proteins generate enstrophy gradients that trigger a hard decoherence cutoff; (4)Rigid Mass Coherence—a perfectly rigid, non-rotating mass maintains coherence longer thanDP allows. All four predictions are falsifiable with next-generation mesoscopic superpositionexperiments.
We present a rigorous kinetic theory of objective wave-function collapse grounded in the deterministic structural bounds of the DSM-861 hydrodynamic vacuum. By modeling the local vacuum as a finite 3-torus Cayley distance-graph with exactly 861 vertices, we demonstrate that macroscopic quantum superpositions act as localized perturbations that inject dynamic enstrophy into the discrete fluid network. Utilizing a continuous-time Master Equation together with a local detailed-balance assumption, we derive the stationary nonequilibrium distribution of this driven dissipative system. We introduce explicit kinetic theorems defining the transition matrix, proving that as injected enstrophy increases, the spectral gap closes, forcing a sudden, irreversible Prigogine bifurcation. We mathematically prove this spectral closure rigorously necessitates topological equipartition, yielding an exact, deterministically bounded critical enstrophy threshold of 695.74 eV. We conclude by establishing a quantitative hydrodynamic coupling coefficient, bridging this vacuum threshold to a macroscopic rotational anomaly and providing an experimentally falsifiable signature of wave-function collapse.