We introduce the Mass–Geometry Phase (MQP) framework, a collapse model grounded on a gravitationally induced order parameter χ(x, t) whose dynamical evolution governs the emergence of classical geometry from quantum nonlocality. The model is based on a reaction–diffusion equa- tion with viscosity, incorporating a curvature–dependent stimulus S and yielding stable localized solutions (“collapse bubbles”) that mark the transition from geometric non-occupation to classical localization. Numerical simulations reveal stable fixed points, mass thresholds, and retro-reactive gravitational feedback consistent with a predictive and falsifiable scheme. We provide analytical mappings connecting the effective Landau potential to macroscopic collapse rates, derive scaling laws for collapse times and bubble sizes, and identify experimental regimes where MQP departs from GRW/DP/CSL theories. The resulting framework constitutes a unified geometric interpretation of quantum-classical transition, with implications for interferometry, optomechanics, and early-universe conditions.
We introduce the Mass–Geometry Phase (MQP) framework, a collapse model grounded on a gravitationally induced order parameter χ(x, t) whose dynamical evolution governs the emergence of classical geometry from quantum nonlocality. The model is based on a reaction–diffusion equa- tion with viscosity, incorporating a curvature–dependent stimulus S and yielding stable localized solutions (“collapse bubbles”) that mark the transition from geometric non-occupation to classical localization. Numerical simulations reveal stable fixed points, mass thresholds, and retro-reactive gravitational feedback consistent with a predictive and falsifiable scheme. We provide analytical mappings connecting the effective Landau potential to macroscopic collapse rates, derive scaling laws for collapse times and bubble sizes, and identify experimental regimes where MQP departs from GRW/DP/CSL theories. The resulting framework constitutes a unified geometric interpretation of quantum-classical transition, with implications for interferometry, optomechanics, and early-universe conditions.
This work presents the Mass–Geometry Phase (MQP) framework, a dynamical collapse model in which the quantum-to-classical transition is described as a phase transition mediated by spacetime geometry. The framework introduces an order parameter that quantifies the degree of coupling between quantum states and classical geometry, without postulating new fundamental forces or stochastic modifications of quantum mechanics. Classical localization emerges dynamically when a curvature- or decoherence-related stimulus exceeds a critical threshold, leading to spontaneous symmetry breaking between non-geometric and geometric phases of matter. The model provides a unified description across Newtonian and relativistic regimes and predicts experimentally testable deviations in mesoscopic quantum systems. This article constitutes the core formulation of the MQP framework, intended as a reference work unifying previous exploratory notes and satellite papers.
This document serves as the anchor reference of the Modified Quantum Parameter (MQP) framework. The MQP describes the quantum–classical transition as a process of geometric relaxation with finite response time, characterized by an emergent order parameter χ. The framework introduces a non-instantaneous geometric response without postulating new fundamental interactions, interpreting wavefunction collapse as a spontaneous symmetry-breaking process induced by geometric stimuli. This article consolidates and unifies a series of previously released technical notes and exploratory studies by the author, providing the central definitions, equations, and physical interpretation of the MQP. All related works should be understood as applications or extensions of the formalism presented here.
We show that any objective collapse model satisfying (i) Markovian dynamics, (ii) Lindblad consistency, and (iii) pointer-basis localization is necessarily geometry-dependent: collapse rates are controlled by the spectral bottleneck D∗Σ, not by particle number, entanglement, or Hilbert-space dimension. This follows from the structure of pointer-diagonal Lindblad generators and does not require interpretational assumptions. Building on this foundation, we develop a min-imal completion of quantum mechanics—in the same technical sense as GRW/CSL—with two additional physical commitments: (A) the noise record is ontologically real, making outcomes deterministic given the record; and (B) the noise metric has gravitational origin, Σ = Σ(G)/ℏ, where the 1/r spatial structure is derived from linearized quantum gravity and the amplitude is fixed up to order-unity regularization. This yields the Penrose-Di´osi timescale τ ∼ℏ/∆EG as a derived result rather than an ansatz. The framework predicts that GHZ and Cluster states with the same particle number collapse at rates differing by a factor of n—a ratio that constitutes a parameter-free experimental test. This prediction has been validated on IBM quantum hardware, with sub-percent prefactor agreement for the theorem applied to environmental noise. We iden-tify a window λ0 ∈[10−20,10−10] Hz for the fundamental collapse rate, consistent with current bounds. Applications include: intrinsic geometric robustness of quantum error-correcting codes,Noise Geometry Tomography for reverse-engineering transport coefficients, and testable cosmo-logical implications. Within the class of Markovian CPTP collapse models that localize in a pointer basis, geometry-dependence is a theorem; models outside this class (e.g., non-Markovian,Everettian, or contextual) are not constrained by our result.
This report presents a stand‑alone generative resolution of the long‑standing conflict between quantum theory and general relativity. Instead of treating spacetime or probability as fundamental, the framework introduces possibility—existing in latent and realised modes—as the underlying substrate from which physical behaviour emerges. Quantum evolution, collapse, gravitational curvature, thermodynamic restructuring, and macroscopic identity are shown to be phase‑specific expressions of a single generative process.The central construct is the phase field, which governs transitions between predictive, collapse, geometric, developmental, and identity‑stabilising regimes. Quantum behaviour arises when predictive continuation and collapse dominate; gravitational behaviour emerges when stabilised realisation induces generative curvature; thermodynamic and renormalisation‑group behaviour appear in intermediate developmental regimes.By deriving quantum, gravitational, thermodynamic, and classical limits from the same generative law, the report dissolves the apparent contradictions between unitary evolution, collapse, curvature, locality, and nonlocality. The result is a unified ontology and dynamics in which probability, geometry, and identity are emergent rather than fundamental. The document is fully self‑contained and does not assume familiarity with previous work.
This preprint introduces a deterministic collapse-based framework in which time, mass, and spacetime geometry emerge from the statistics of modal-collapse events. The key dynamical quantity is the coherence factor Ξ, defined by the average inter-collapse interval. Ξ governs the conversion between coordinate and physical time (dτ = Ξ dt), determines inertial mass (m = E/Ξ²), and generates the effective metric (g_tt = –Ξ⁻², g_rr ∝ Ξ^p with p ≈ 1.9). Smooth Schrödinger evolution and general relativistic geometry are recovered as limiting cases of the same dynamical system: rare collapse cycles produce classical behaviour, fluctuating collapse produces quantum behaviour, and runaway collapse (Ξ → 0) gives rise to gravitational collapse and the breakdown of smooth geometry. The runaway regime mathematically enforces a lowest-frequency electromagnetic emission channel, predicting that radiation in collapse-driven transients must begin in the radio band and only later extend to higher frequencies. The accompanying supplementary TXT document provides the complete proof set of all five falsifiable predictions, with no tunable parameters: (1) universal radio-first ordering of electromagnetic discharge in runaway events, (2) universal curvature exponent p ≈ 1.9, (3) classical stability when ⟨ΔN_eff⟩ < 0, (4) time dilation fully determined from collapse-interval statistics, and (5) radio-only discharge at the onset of runaway collapse. This work proposes that collapse dynamics — rather than measurement or spacetime postulates — constitute the fundamental mechanism from which quantum behaviour, classical stability, and gravitational collapse all emerge.
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