This pre-print proposes a novel heuristic framework that addresses the quantum-classical boundary through an optimization-based approach. We introduce "resource-dependent state selection"—a mechanism where physical systems dynamically choose between quantum (high-fidelity) and classical (compressed) representations based on information-theoretic efficiency under gravitational constraints. CORE CONTRIBUTION: - A specific, falsifiable prediction: the "optimization cliff"—an abrupt collapse of quantum coherence at critical gravitational thresholds - Quantitative prediction: For 10⁶ amu nanoparticles with 10g test masses, coherence should drop by factor >100 at ~1.2 mm - Clear experimental signature distinguishable from conventional decoherence models FRAMEWORK STATUS: This is a HEURISTIC framework, not a fundamental theory. It generates testable predictions while remaining agnostic about underlying mechanisms. Different sections have different epistemic statuses, explicitly marked throughout. EXPERIMENTAL IMPLICATIONS: The framework provides a clean experimental test requiring minimal modifications to existing levitated nanoparticle setups (e.g., groups of Novotny/ETH or Romero-Isart/Innsbruck). Success would open new research directions; failure would cleanly falsify the approach. KEYWORDS: Quantum-classical transition, Heuristic framework, Optimization cliff, Gravitational decoherence, Experimental prediction, Foundations of physics, Resource optimization NOTE: Developed through conceptual dialogue with AI systems (as acknowledged in the paper), demonstrating modern collaborative research approaches.
This pre-print proposes a novel heuristic framework that addresses the quantum-classical boundary through an optimization-based approach. We introduce "resource-dependent state selection"—a mechanism where physical systems dynamically choose between quantum (high-fidelity) and classical (compressed) representations based on information-theoretic efficiency under gravitational constraints. CORE CONTRIBUTION: - A specific, falsifiable prediction: the "optimization cliff"—an abrupt collapse of quantum coherence at critical gravitational thresholds - Quantitative prediction: For 10⁶ amu nanoparticles with 10g test masses, coherence should drop by factor >100 at ~1.2 mm - Clear experimental signature distinguishable from conventional decoherence models FRAMEWORK STATUS: This is a HEURISTIC framework, not a fundamental theory. It generates testable predictions while remaining agnostic about underlying mechanisms. Different sections have different epistemic statuses, explicitly marked throughout. EXPERIMENTAL IMPLICATIONS: The framework provides a clean experimental test requiring minimal modifications to existing levitated nanoparticle setups (e.g., groups of Novotny/ETH or Romero-Isart/Innsbruck). Success would open new research directions; failure would cleanly falsify the approach. KEYWORDS: Quantum-classical transition, Heuristic framework, Optimization cliff, Gravitational decoherence, Experimental prediction, Foundations of physics, Resource optimization NOTE: Developed through conceptual dialogue with AI systems (as acknowledged in the paper), demonstrating modern collaborative research approaches.
This work presents a heuristic optimization framework that generates specific, quantitative, and testable predictions regarding the quantum-classical transition boundary. Rather than proposing a fundamental theory of quantum gravity or resolving the measurement problem, the framework introduces a phenomenological state-selection criterion based on information-theoretic efficiency under gravitational constraints. Core Predictions & Scope: The Optimization Cliff: Predicts an abrupt collapse of quantum coherence at critical gravitational thresholds (rc≈1.2 mm for levitated 106 amu silica nanoparticles near a 10 g test mass) with a sharp transition width (Δr/rc<0.05), contrasting sharply with the smooth decay predicted by conventional decoherence models. Falsifiability: Provides explicit experimental signatures for terrestrial gradient interferometry and levitated optomechanics, establishing clear go/no-go criteria for empirical refutation. Epistemic Status: Formulated as a productive generative metaphor, the framework maintains strict agnosticism regarding underlying ontology, clearly separating its testable core from speculative extensions. Chronological & Contextual Note: This manuscript reflects the revised version of the framework completed in April 2026 (originally formulated in February 2026). It is deposited on Zenodo as an open-access preprint following an initial deposit on OSF Preprints to ensure permanent digital preservation, DOI indexing via CERN, and open availability for the research community.
Note on Theoretical Context and Terminology: The mathematical formulations and notations presented in this version reflect an earlier stage of development. In subsequent works and theoretical revisions, all concepts previously referred to under localized personal naming conventions (e.g., specific individual equations or theories) have been formally standardized and integrated under the unified framework of the Stochastic Decoherence Model. Readers are advised to interpret the underlying velocity-dependent decoherence mechanisms, stochastic differential equations, and cosmological implications within this updated conceptual framework. This preprint presents a hypothesis of material-dependent quantum decoherence within an emergent information-based framework. The work derives quantitative predictions for coherence-time ratios between crystalline and amorphous forms of several materials, including silicon, carbon and silica. The central prediction is that structural disorder enhances intrinsic decoherence through material-dependent coupling parameters linked to experimentally measurable dielectric response functions. Unlike standard quantum mechanics and conventional mass-based collapse models, the framework predicts measurable differences between materials of identical chemical composition but different structural order. The proposed effects are experimentally testable using optomechanical resonators, nanomechanical oscillators and matter-wave interferometry. The manuscript explicitly discusses limitations, open theoretical questions and falsification criteria, and is intended as a contribution to ongoing research on quantum foundations, decoherence and collapse models. The author welcomes constructive feedback, criticism and potential collaboration from researchers interested in quantum foundations, decoherence theory, condensed matter physics and precision quantum experiments.
This paper proposes a computational efficiency framework for the quantum-classical boundary by integrating entropic gravity and the de Broglie relation. We posit that wave-particle duality represents an optimization mechanism where momentum determines computational fidelity states. Under this model, gravity emerges as a data compression algorithm that aggregates matter, while an object's momentum (p) acts as the critical variable determining whether the system calculates its high-fidelity state (wave superposition) or low-fidelity state (classical particle). This framework offers a cohesive narrative to explain recent experimental results, such as the observation of quantum coherence in levitated nanoparticles [1], interpreting them as controlled interventions at the limits of the system's optimization rules. This work presents a conceptual model rather than a complete physical theory, offering a heuristic interpretive framework that generates testable conceptual predictions.
TITLE:Gravitational Activation from Accumulated Decoherence: A PhenomenologicalFramework with Testable Predictions We present a phenomenological framework in which classical gravitationalsourcing emerges from irreversibly accumulated decoherence. The centralvariable is the accumulated decoherence parameter D, constructed as amonotone, partition-dependent functional of purity loss underGorini-Kossakowski-Lindblad-Sudarshan (GKLS) open-system dynamics. The framework introduces a critical distinction between gravitationalresponse and gravitational activation. All quantum systems — includingcoherent superpositions — respond universally to existing gravitationalfields, preserving the weak equivalence principle. However, the capacityto source a classical gravitational field is conditioned on accumulateddecoherence: only systems with sufficient D contribute to the gravitationalpotential. This directed structure resolves conceptual tensions betweenquantum coherence and classical geometry without modifying unitary dynamicsor the Schrodinger equation. Gravitational activation is modelled via a Hill-function sigmoid mapping Dto an effective sourcing fraction, controlled by two phenomenologicalparameters: a characteristic decoherence scale D* and a sharpness exponentn. An optional nonlinear feedback mechanism (the Bootstrap Closure) couplesgravitational activation back into the decoherence rate, producing a sharpcrossover — the Quantum Curie Point — at which the system transitionsrapidly from negligible to full gravitational sourcing. We provide numerical estimates of D for five candidate experimental systemsspanning 60 orders of magnitude in mass, from isolated electrons to LIGOtest masses and cosmological horizons. All estimates yield physicallysensible results: coherent laboratory systems show negligible activation,while macroscopic classical objects are deeply in the fully activated regime. Three classes of testable predictions are identified: (1) a mesoscopicpressure-sweep protocol for levitated nanoparticles in which gravitationalsourcing is predicted to exhibit a pressure-dependent suppression below acritical vacuum threshold; (2) constraints on the framework parameters fromBig Bang nucleosynthesis helium abundance, requiring gravitational couplingto be within 20% of Newton’s constant by t ~ 1 second; and (3) potentialmodifications to compact object formation if the activation timescaleexceeds the dynamical collapse timescale. The framework is phenomenologically closed, empirically constrainable,and falsifiable through existing and near-future experimental platformsin mesoscopic optomechanics and matter-wave interferometry. LICENSE:Creative Commons Attribution 4.0 International (CC BY 4.0) RELATED IDENTIFIERS (optional — add if/when available): - Entropy-Referenced Cosmology: Operational time from coarse-grained entropy production (D’Angelo & D’Angelo, in preparation)- Decoherence-Gravitation Equivalence and the Bootstrapping of Classical Spacetime (D’Angelo & D’Angelo, in preparation) NOTES:This is a preprint deposited for priority timestamp. The work was conductedindependently by the PACES Research Group. Correspondence: jpaces33@gmail.com
Laboratory-based experimental tests remain a central challenge in the study of the quantum-gravity interface. We present a quantitative, experimentally testable prediction for gravitationally induced quantum decoherence of spatial superpositions in levitated optomechanical systems. Starting from two independently well-tested physical elements—the quantum nature of material energy-momentum fluctuations (established in particle physics) and the linear response kernel of classical geometry (derived from the weak-field limit of general relativity and verified by gravitational-wave observations)—and supplementing them with a minimal extension postulate for superposition states, we obtain a rigid scaling law for the gravitational decoherence rate: \Gamma \sim G M^2 d^2 / (\hbar L^3) \cdot \Phi(l_*/L), where M is the mass of the object, d the spatial separation of the superposition branches, L the characteristic linear dimension, and \Phi a dimensionless function encoding the unknown ultraviolet cutoff scale l_* of the effective geometric noise. The structural form \Gamma \propto M^2 d^2 / L^3 contains no free adjustable parameters; the overall amplitude is set by the choice of l_*. Identifying l_* with the Planck length \ell_P = \sqrt{\hbar G / c^3}—the only known scale bridging quantum theory and gravity—yields \Phi \sim \mathcal{O}(1) and a specific numerical target. For current levitated nanoparticle experiments (M \sim 10^{-14}\,\text{kg}, d \sim 10^{-7}\,\text{m}, L \sim 10^{-6}\,\text{m}), this Planck-scale hypothesis predicts a decoherence rate of order 1\,\text{Hz}, placing it within the foreseeable sensitivity window of next-generation optomechanical setups. We discuss the exclusive physical signatures distinguishing this mechanism from environmental decoherence channels and outline explicit falsification conditions, providing experimental groups with a concrete target to probe the quantum-gravity interface in the laboratory.
The transition from the quantum to the classical realm remains one of the most profound open questions in physics. While quantum theory predicts the existence of macroscopic superpositions, their apparent absence in the everyday world is attributed either to environmental decoherence or to an intrinsic mechanism for wave-function collapse. This work presents a quantitative and experimentally grounded framework for distinguishing these possibilities. We propose a levitated optomechanical platform capable of generating controllable Schrodinger-cat states in the center of mass motion of a dielectric nanosphere. A comprehensive master equation incorporates gas collisions, black-body radiation, and photon-recoil noise, establishing a calibrated environmental baseline. The Continuous Spontaneous Localization (CSL) model is embedded within the same framework, predicting a characteristic saturation of the decoherence rate with superposition size and a quadratic scaling with mass. A Bayesian inference protocol is outlined to discriminate collapse induced excess decoherence from environmental noise. Together these elements provide a concrete experimental blueprint for a decisive test of quantum linearity, either revealing new physics beyond standard quantum mechanics or setting the most stringent bounds to date on objective-collapse parameters.