We present a unified and minimal theoretical framework addressing the quantum-classical transition, the measurement problem, and the emergence of the arrow of time, grounded in gravitational physics. Building on the insight that quantum superpositions of mass distributions necessarily imply superpositions of gravitational potentials, we show that such states are unavoidably associated with superpositions of proper times due to gravitational time dilation. By extending the system Hilbert space to include a temporal degree of freedom, we demonstrate that matter-time entanglement leads naturally to effective decoherence when the time degree of freedom is traced out. The resulting reduced dynamics takes the form of a Lindblad master equation derived from an underlying unitary evolution. This framework reproduces the correct microscopic and macroscopic limits, clarifies the relation to Diósi-Penrose-type models, and provides a coherent account of classicality and temporal irreversibility without postulating observers, environmental decoherence as fundamental, or objective wavefunction collapse.
We present a unified and minimal theoretical framework addressing the quantum-classical transition, the measurement problem, and the emergence of the arrow of time, grounded in gravitational physics. Building on the insight that quantum superpositions of mass distributions necessarily imply superpositions of gravitational potentials, we show that such states are unavoidably associated with superpositions of proper times due to gravitational time dilation. By extending the system Hilbert space to include a temporal degree of freedom, we demonstrate that matter-time entanglement leads naturally to effective decoherence when the time degree of freedom is traced out. The resulting reduced dynamics takes the form of a Lindblad master equation derived from an underlying unitary evolution. This framework reproduces the correct microscopic and macroscopic limits, clarifies the relation to Diósi-Penrose-type models, and provides a coherent account of classicality and temporal irreversibility without postulating observers, environmental decoherence as fundamental, or objective wavefunction collapse.
We propose a conservative theoretical framework addressing the emergence of classical time and the uniqueness of the past within quantum mechanics, without modifying its fundamental postulates or introducing objective collapse mechanisms. The central observation is that quantum superpositions of mass–energy distributions necessarily imply superpositions of gravitational potentials, and therefore superpositions of proper times. By treating time as an effective quantum degree of freedom and extending the system Hilbert space accordingly, we show that matter–time entanglement leads to an intrinsic dispersion of proper time. Gravitational fluctuations and irreversible memory formation dynamically suppress this dispersion, giving rise to an effective closure of temporal histories. The resulting dynamics admits stable fixed points corresponding to classical time and a unique past, while remaining fully compatible with global unitarity. We analyze the stability of this closure, its relation to decoherence and quantum Darwinism, and its implications for cosmology, including the interpretation of the Big Bang as a temporal closure process rather than a fundamental beginning of time. The framework clarifies the role of gravity in the quantum–classical transition and delineates the physical conditions under which a unique history can emerge.
Contact Jonathan.duchesne@hotmail.com 418-953-0596 This thesis presents Time–Decoherence Gravity (TDG), a unified theoretical framework in which spacetime geometry, gravitation, and the physical flow of time arise from fundamental quantum decoherence. Rather than treating decoherence as an environmental or effective process, TDG builds on a covariant extension of the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation, where four directional Lindblad operators encode intrinsic, irreversible information loss. These operators define a “decoherence tensor,” which acts both as a memory of quantum irreversibility and as the generator of emergent spacetime geometry through a nonlinear constitutive relation. The theory provides a coherent gravitational collapse mechanism based on the incompatibility of decoherence patterns across quantum branches. This leads to an intrinsic “decoherence energy,” whose magnitude determines the collapse timescale, extending and generalizing the well-known Penrose–Diósi models. TDG predicts a smooth transition from persistent microscopic coherence to rapid macroscopic collapse. At cosmological scales, a homogeneous decoherence tensor naturally generates modified Friedmann dynamics, early-universe stiff-fluid behavior, and late-time acceleration without requiring a fine-tuned cosmological constant. Black-hole entropy emerges as a saturation of decoherence memory at the horizon, while Hawking radiation appears as the dissipative relaxation of this saturation. The theory also predicts short-range deviations from Newtonian gravity and a universal spectrum of fundamental gravitational noise. Finally, TDG offers several experimentally testable signatures involving optical clocks, mesoscopic interferometry, short-range force measurements, and correlated phase noise in global timing networks. The framework is internally consistent, falsifiable, and provides a novel and unified approach to the relationship between quantum mechanics, gravity, and the arrow of time.
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.
Abstract This article presents a revised and conceptually refined formulation of a previously proposed Temporal Interpretation of quantum measurement, explicitly addressing the physical nature of wavefunction collapse. While the original proposal emphasised relativistic aspects of momentum superpositions, the present work clarifies the interpretation within the standard formalism of quantum mechanics, without introducing new dynamics or experimental predictions. Unitary evolution is read as a process of differentiated phase accumulation between branches of a quantum state. In relativistic contexts, phase differentials can be structurally related to effective proper-time differentials, allowing the introduction of a notion of temporal compatibility that provides a physically grounded account of decoherence. When such differentials exceed a characteristic scale, interference between branches becomes operationally inaccessible, while global unitarity is preserved. The observer is treated as a physical system endowed with an irreversible proper time associated with macroscopic, entropic dynamics. Within this framework, collapse is explained as an emergent physical phenomenon arising from the irreversibility of the observer’s proper time, which prevents the reconstruction of phase coherence after an interaction. Collapse is therefore neither a fundamental dynamical mechanism nor an objective event in space-time, but a necessary consequence of temporal irreversibility in physical observers. This formulation sharpens the distinction between decoherence and collapse, preserves full consistency with the Born rule, and positions the Temporal Interpretation as a competing interpretative framework that provides a concrete physical explanation for the quantum–classical transition, improving and clarifying the original proposal. This version clarifies the operational status of the interaction time, refines Sections 5.3 and 5.4, and standardises references and editorial structure. No changes to the formalism or conclusions.
Collapse-Induced Time Asymmetry and the Emergence of Classical Reality proposes a collapse-driven framework in which the emergence of classical definiteness and the arrow of time arise from the same underlying physical mechanism. Wavefunction collapse is treated as an intrinsic, irreversible process that progressively restricts the space of admissible quantum states, generating both temporal order and classical structure without reliance on observers, special boundary conditions, or externally imposed time asymmetry. The central contribution of this work is the introduction of an emergent collapse-ordering parameter, distinct from coordinate time, which indexes irreversible collapse events and provides a microscopic foundation for temporal asymmetry. Within this framework, stochastic localization resolves quantum indeterminacy, stabilizes macroscopic outcomes, and yields definite mass–energy configurations from which classical spacetime structure can emerge. Gravitational self-energy is reinterpreted not as the cause of collapse, but as a diagnostic of the energetic incompatibility between unrealized quantum alternatives. Collapse dynamics, entropy production, and geometric structure are shown to be mutually consistent aspects of a single irreversible process. The resulting picture unifies measurement resolution, the arrow of time, and classical emergence within a single collapse-based dynamical framework. This paper focuses on the theoretical structure and internal consistency of the proposed mechanism. A separate, accompanying repository paper will present proof-of-principle numerical simulations exploring collapse-driven information pruning, history-dependent backreaction, and emergent geometric behavior. These simulations are intended to illustrate qualitative features of the framework and to demonstrate dynamical stability and repeatability, rather than to provide quantitative gravitational modeling. Together, the theoretical analysis and forthcoming simulation results aim to clarify the physical role of collapse in the emergence of classical reality and temporal order.A companion repository containing proof-of-principle numerical simulations is available at Zenodo 10.5281/zenodo.18828923
This work aims to address unresolved questions in physics through a coherent framework built upon a unified understanding of the interdependence of gravity, quantum physics, and classical mechanics, ultimately leading to the emergence of physical reality. The approach builds upon Madelung’s quantum hydrodynamic representation, extending it by incorporating stochastic perturbations from gravitational background noise (GBN). The consequent stochastic quantum hydrodynamics model (SQHM) bridges the quantum and classical domains, unveiling a natural quantum-to-classical coexistence. For the first time, the model provides a theoretical foundation for the Lindemann constant and can be experimentally tested via a photon entanglement experiment. It also accurately reproduces the experimental data for the fluid–superfluid transition in helium. The framework resolves long-standing theoretical conflicts between quantum mechanics and classical mechanics, addresses the EPR paradox, and provides novel insights into the emergence of flowing time in 4-D spacetime and the evolution of the universe, potentially accommodating free will. The proposed framework highlights the inadequacy of both deterministic laws and a purely measure-dependent conception of reality governed by unpredictable probabilistic evolution.