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Quantum Source Transition Theory

Erik Krager

Published Jul 10, 2026• 0 citations
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Abstract

This preprint introduces Quantum Source Transition Theory (QSTT), a source-side framework for interpreting the relationship between quantum probability structure, physical record formation, and gravitational source behavior. This is a preliminary attempt to try and bridge QM with GR using a quantum probability source structure. The central proposal is that the gravitational source term should be treated as a transition structure rather than a purely classical object. QSTT expresses this through an effective stress-energy form: T_eff = T_classical + T_Psi + T_C In this expression, T_classical represents conventional recorded or classical matter-energy, T_Psi represents coherent probability-phase source structure, and T_C represents transition stress-energy associated with physical record formation. The paper develops a record-based interpretation of the quantum-to-classical transition using branch distinguishability, record strength, and record-formation rates. It also outlines how QSTT may be tested or constrained through mesoscopic gravity experiments such as QGEM/BMV-style proposals, where the key question is whether gravitational phase accumulation can occur before durable which-branch records are formed. A preliminary weak-field closure branch is also included, along with supporting comparison material against MOND-style phenomenology. These results are presented as an initial phenomenological test direction rather than as the central foundation of the framework. This v1.0 preprint is intended as a foundation release: it defines the core source-side structure, establishes the physical-record terminology, identifies testable regimes, and provides companion data and plots for early weak-field exploration. Recommended citation: Krager, Erik. Quantum Source Transition Theory: A Source-Side Framework for Gravity, Physical Records, and Weak-Field Phenomenology. Version 1.0. Zenodo, 2026. DOI: 10.5281/zenodo.20765966.

DOI
10.5281/zenodo.20765965

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When do quantum systems source gravity and how can we test it?

Francisco Pipa

We argue that semiclassical gravity can be made consistent if quantum systems source gravity only when they participate in non-gravitational interactions that can lead to environment-induced decoherence, and which select conditional states that lead them to source such a field. If they do not participate in those interactions, systems do not contribute their stress-energy to the semiclassical equations, where regions lacking a gravitational field may remain flat. This proposal of conditional gravity is testable by probing the gravitational field sourced by systems, which should depend entirely on environment-induced decoherence in this context; by gravity not mediating entanglement in the Bose-Marletto-Vedral (BMV) experiment; and by how the reversibility of the initial state in this experiment would depend solely on this decoherence, distinguishing it from competing approaches. Our approach involves different theories. A distinct one involves chains of causally ordered interactions between quantum matter fields, which may show how gravity arises from QFT, and provide benefits to other areas of physics. To distinguish between the different theories that our approach allows for, and possibly test them, we present a generalization of the process operator and quantum causal models, which is applicable to quantum measurements in QFT implemented via the Fewster-Verch framework. However, we will also propose another approach. These different theories can be seen as arising from different ways quantum operations are classically controlled, since outcomes obtained along this chain determine which quantum operations are implemented next. We propose an experiment to test them using quantum circuits, which may allow us to probe how precisely gravity arises from quantum systems. We thus propose another application of quantum computers, which is to control the sourcing of gravity by quantum systems.

arXiv:2507.05237•Jul 7, 2025•0 citations

Quantum Structural Theory of Harmony (QSTH 8.6.XS) — Schrödinger Equation as a Ledger of Possibility

Rostislav Stepanik

This QSTH 8.6.XS working publication proposes to read the Schrödinger equation as a ledger of coherent possibility rather than as a direct equation of finalized physical record formation. The publication does not claim that the Schrödinger equation is wrong, incomplete in its own domain, or superseded by QSTH. Instead, it asks a precise conceptual and methodological question: when does a coherent possibility acquire the right to become a stable record? Within the QSTH framework, the wave-function is interpreted as a structured ledger of possible evolution. Probability is not yet treated as completed reality, but as a pre-record layer of admissible possibility. The publication then introduces a careful distinction between standard quantum evolution, environmental decoherence, record formation, admissibility, and the later QSTH concept of Lambda_lock. The text also introduces a computationally cautious extension direction through a candidate locking functional, Gamma_lock. This is not presented as a derived physical law, but as a structured placeholder for future toy-models and numerical experiments describing the transition from possibility to record. A central contribution of this publication is the section Computability: what can already be modeled, which clarifies that several parts of the framework are already modelable as toy-models: standard Schrödinger evolution, non-Hermitian damping-like extensions, threshold locking integrals, and Hessian stability tests. Other QSTH layers remain candidates for future formalization. This publication belongs to the QSTH 8.x working sequence. It is not presented as a confirmed physical theory, but as a structured conceptual, mathematical, and methodological bridge toward QSTH 8.6.XP, QSTH 8.7, QSTH 8.12.H, and the later Equation of the Universe synthesis. Short description QSTH 8.6.XS reads the Schrödinger equation as a ledger of coherent possibility and asks when such possibility may acquire the right to become a stable record. It introduces Gamma_lock as a candidate functional and identifies which parts of the framework are already toy-model computable. Methodological status This publication is part of the QSTH CORE/CAND/SUPPORT/FUTURE framework. It should be read as a structured working publication, not as a confirmed physical model. Its purpose is to clarify the conceptual role of the Schrödinger equation as a ledger of possibility and to open a cautious computational bridge toward admissibility, Lambda_lock, record formation, and settlement stability. Computability note Several parts of the proposed framework are already computable as toy-models. Standard Schrödinger evolution can be simulated directly. A candidate non-Hermitian QSTH locking term can be explored by selecting provisional forms of Gamma_lock. Threshold conditions of the form integral Gamma_lock dt >= Lambda_lock can be numerically tested. Hessian stability can also be modeled once a candidate lock-potential or settlement landscape is defined. These are not yet confirmed physical laws. They are structured modeling entry points for future numerical testing, falsification, and comparison with null models. This record belongs to the QSTH 8.x publication sequence. It follows QSTH 8.6 — O-Dim and 0D Root Publication and acts as the Schrödinger-side companion branch of that root framework. QSTH 8.6.XS studies the transition from coherent possibility toward admissible record formation. It prepares later work on QSTH 8.6.XP, Lambda_lock, objective settlement, Hessian stability, spin-locking, and the Equation of the Universe synthesis. The publication includes a computability section intended as an open invitation for future toy-model construction, numerical testing, falsification, and scientific collaboration. QSTH 8.6.XS does not replace Schrödinger. It places a question beside him: when does the ledger of possibility acquire the right to become a ledger of record?

•May 16, 2026•1 citation

Time–Decoherence Gravity (TDG): A Unified Framework

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•Dec 8, 2025•0 citations

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This preprint introduces Quantum Source Transition Theory (QSTT), a source-side framework for interpreting the relationship between quantum probability structure, physical record formation, and gravitational source behavior. This is a preliminary attempt to try and bridge QM with GR using a quantum probability source structure. The central proposal is that the gravitational source term should be treated as a transition structure rather than a purely classical object. QSTT expresses this through an effective stress-energy form: T_eff = T_classical + T_Psi + T_C In this expression, T_classical represents conventional recorded or classical matter-energy, T_Psi represents coherent probability-phase source structure, and T_C represents transition stress-energy associated with physical record formation. The paper develops a record-based interpretation of the quantum-to-classical transition using branch distinguishability, record strength, and record-formation rates. It also outlines how QSTT may be tested or constrained through mesoscopic gravity experiments such as QGEM/BMV-style proposals, where the key question is whether gravitational phase accumulation can occur before durable which-branch records are formed. A preliminary weak-field closure branch is also included, along with supporting comparison material against MOND-style phenomenology. These results are presented as an initial phenomenological test direction rather than as the central foundation of the framework. This v1.0 preprint is intended as a foundation release: it defines the core source-side structure, establishes the physical-record terminology, identifies testable regimes, and provides companion data and plots for early weak-field exploration. Recommended citation: Krager, Erik. Quantum Source Transition Theory: A Source-Side Framework for Gravity, Physical Records, and Weak-Field Phenomenology. Version 1.0. Zenodo, 2026. DOI: 10.5281/zenodo.20765966.
We argue that semiclassical gravity can be made consistent if quantum systems source gravity only when they participate in non-gravitational interactions that can lead to environment-induced decoherence, and which select conditional states that lead them to source such a field. If they do not participate in those interactions, systems do not contribute their stress-energy to the semiclassical equations, where regions lacking a gravitational field may remain flat. This proposal of conditional gravity is testable by probing the gravitational field sourced by systems, which should depend entirely on environment-induced decoherence in this context; by gravity not mediating entanglement in the Bose-Marletto-Vedral (BMV) experiment; and by how the reversibility of the initial state in this experiment would depend solely on this decoherence, distinguishing it from competing approaches. Our approach involves different theories. A distinct one involves chains of causally ordered interactions between quantum matter fields, which may show how gravity arises from QFT, and provide benefits to other areas of physics. To distinguish between the different theories that our approach allows for, and possibly test them, we present a generalization of the process operator and quantum causal models, which is applicable to quantum measurements in QFT implemented via the Fewster-Verch framework. However, we will also propose another approach. These different theories can be seen as arising from different ways quantum operations are classically controlled, since outcomes obtained along this chain determine which quantum operations are implemented next. We propose an experiment to test them using quantum circuits, which may allow us to probe how precisely gravity arises from quantum systems. We thus propose another application of quantum computers, which is to control the sourcing of gravity by quantum systems.
This QSTH 8.6.XS working publication proposes to read the Schrödinger equation as a ledger of coherent possibility rather than as a direct equation of finalized physical record formation. The publication does not claim that the Schrödinger equation is wrong, incomplete in its own domain, or superseded by QSTH. Instead, it asks a precise conceptual and methodological question: when does a coherent possibility acquire the right to become a stable record? Within the QSTH framework, the wave-function is interpreted as a structured ledger of possible evolution. Probability is not yet treated as completed reality, but as a pre-record layer of admissible possibility. The publication then introduces a careful distinction between standard quantum evolution, environmental decoherence, record formation, admissibility, and the later QSTH concept of Lambda_lock. The text also introduces a computationally cautious extension direction through a candidate locking functional, Gamma_lock. This is not presented as a derived physical law, but as a structured placeholder for future toy-models and numerical experiments describing the transition from possibility to record. A central contribution of this publication is the section Computability: what can already be modeled, which clarifies that several parts of the framework are already modelable as toy-models: standard Schrödinger evolution, non-Hermitian damping-like extensions, threshold locking integrals, and Hessian stability tests. Other QSTH layers remain candidates for future formalization. This publication belongs to the QSTH 8.x working sequence. It is not presented as a confirmed physical theory, but as a structured conceptual, mathematical, and methodological bridge toward QSTH 8.6.XP, QSTH 8.7, QSTH 8.12.H, and the later Equation of the Universe synthesis. Short description QSTH 8.6.XS reads the Schrödinger equation as a ledger of coherent possibility and asks when such possibility may acquire the right to become a stable record. It introduces Gamma_lock as a candidate functional and identifies which parts of the framework are already toy-model computable. Methodological status This publication is part of the QSTH CORE/CAND/SUPPORT/FUTURE framework. It should be read as a structured working publication, not as a confirmed physical model. Its purpose is to clarify the conceptual role of the Schrödinger equation as a ledger of possibility and to open a cautious computational bridge toward admissibility, Lambda_lock, record formation, and settlement stability. Computability note Several parts of the proposed framework are already computable as toy-models. Standard Schrödinger evolution can be simulated directly. A candidate non-Hermitian QSTH locking term can be explored by selecting provisional forms of Gamma_lock. Threshold conditions of the form integral Gamma_lock dt >= Lambda_lock can be numerically tested. Hessian stability can also be modeled once a candidate lock-potential or settlement landscape is defined. These are not yet confirmed physical laws. They are structured modeling entry points for future numerical testing, falsification, and comparison with null models. This record belongs to the QSTH 8.x publication sequence. It follows QSTH 8.6 — O-Dim and 0D Root Publication and acts as the Schrödinger-side companion branch of that root framework. QSTH 8.6.XS studies the transition from coherent possibility toward admissible record formation. It prepares later work on QSTH 8.6.XP, Lambda_lock, objective settlement, Hessian stability, spin-locking, and the Equation of the Universe synthesis. The publication includes a computability section intended as an open invitation for future toy-model construction, numerical testing, falsification, and scientific collaboration. QSTH 8.6.XS does not replace Schrödinger. It places a question beside him: when does the ledger of possibility acquire the right to become a ledger of record?
Contact: Jonathan.duchesne@hotmail.com FinalTDG: Full Mathematical proposition. AddTDG22: Natural Add-ons TDGStressTest: Stress Test results TDGEX: Experimental Protocol TDGpaper: Abstract Temporal Decoherence Geometry (TDG) is a conservative theoretical framework that systematically explores a possible connection between quantum decoherence, weak-field gravity, and an emergent notion of time, while remaining strictly within a GKSL (Lindblad) open quantum dynamics, i.e. Markovian and completely positive, with no ad hoc collapse mechanism. The central idea of TDG is to take seriously the structure of decoherence of an open quantum system and promote it to an effective geometric object: a decoherence tensor Gamma_{mu nu}, constructed from a Lindblad generator, is introduced as the primary source of a weak-field gravitational potential and an emergent time defined from local decoherence rates. The framework is deliberately minimalist in its assumptions: weak-field regime, standard quantum mechanics (no modification of the Schrödinger equation or the GKSL structure), no exotic measurement postulates. This new “DOI version” collects and organises the following elements: A mathematical core in which Gamma_{mu nu} is derived from a GKSL generator (Lindbladian), a gradient-flow–type evolution drives Gamma_{mu nu} towards a quantity proportional to the usual energy-momentum tensor T_{mu nu}, an emergent time scalar T(x) is defined from the local decoherence rate lambda(x), under explicit integrability conditions, an effective weak-field gravitational potential Phi_TDG is associated with this decoherence structure. The analysis of static, spherically symmetric compact configurations, obtained from a simple “decoherence-energy” functional E[gamma], which: have a regular, non-singular core, exhibit a Yukawa-type tail, reproduce a Newtonian / Schwarzschild-like exterior over a given radial interval, while avoiding central singularities. A phenomenological layer in which TDG induces decoherence-dependent corrections to gravitational redshift, encoded in an effective parameter epsilon_TDG. This parameter is, in principle, falsifiable with state-of-the-art optical clocks, providing a clear experimental handle: TDG is not only a formal construction, but a framework that can be constrained or ruled out by precision redshift measurements. A key feature of this revised version is the inclusion of a set of analytical stress tests explicitly designed to challenge the model within the regime it claims to describe (weak-field, GKSL, Markovian): regular-core compact configurations, extreme parameter limits (diffusion, screening length scales, etc.), dynamical behaviour of the decoherence tensor, analysis of the absence of finite-time collapse in the GKSL setting. These stress tests show that, under the stated assumptions and within the weak-field regime, the TDG framework remains regular, well-posed, and consistent with its own domain of validity. The Zenodo deposit therefore gathers both a main TDG manuscript (model structure + weak-field applications) and a technical stress-test note, enabling readers to assess not only the construction itself, but also its internal robustness and phenomenological viability. This deposit is intended to serve as a stable reference for the current version of TDG: it provides the complete description of the framework together with the technical ingredients needed to evaluate its mathematical consistency, its compatibility with weak-field gravity, and its falsifiability through decoherence-sensitive redshift tests with optical clocks.
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
We develop an effective gravitational framework for the quantum–classical transition based on the dynamical stability of historical information. Building on previous analyses of gravitational temporal decoherence and the emergence of classical time, the present work addresses the subsequent problem of how classical histories become stable, persistent, and objectively accessible. The framework is formulated as a non-relativistic, semiclassical open-system dynamics in which gravity induces structurally constrained dissipative effects of Lindblad type. Within this setting, we introduce a stability functional that operationally characterizes which quantum states can support robust historical records and which are dynamically suppressed. The quantum–classical transition is described as a smooth, scale-dependent crossover controlled by physically meaningful parameters, rather than as a sharp boundary or interpretational postulate. The emergence of a unique classical past is shown to arise from dynamical selection: while multiple quantum histories are formally allowed, only those supported by stable physical records persist under gravitationally induced dissipation. The framework is explicitly effective in scope and does not rely on a microscopic derivation or full relativistic covariance. Instead, it identifies universal structural features that any viable fundamental theory must reproduce in the appropriate semiclassical regime. This work complements earlier studies on the emergence of classical time by providing a dynamical account of historical stability, thereby contributing to a coherent program for understanding the physical origin of classical reality.
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 mmr_c \approx 1.2\text{ mm}rc​≈1.2 mm for levitated 106 amu10^6\text{ amu}106 amu silica nanoparticles near a 10 g10\text{ g}10 g test mass) with a sharp transition width (Δr/rc<0.05\Delta r / r_c < 0.05Δr/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.