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.
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.
This paper introduces a dual-clock framework that unifies quantum mechanics, general relativity, and thermodynamics through a single dynamical equation governing temporal evolution. The model proposes that physical time emerges from interference between two counter-propagating temporal waves: an entropic wave driving phase-space exploration and a Lagrangian wave driving action minimization. Their interaction produces a universal refresh constant τ that regulates coherence across all physical systems. The framework recovers standard quantum and relativistic equations as limiting cases (τ = 0) while predicting measurable deviations for τ ≠ 0. The primary experimental prediction is a differential frequency offset between co-located optical atomic clocks of different species: δR ≈ -7 × 10⁻¹⁸, testable with emerging 10⁻¹⁹-precision clock technology. Numerical simulations demonstrate stability over 3.17 × 10¹⁵ equivalent years, reproducing FRW cosmological expansion, gravitational time dilation, and QED phase behavior. The model provides geometric explanations for quantum measurement collapse, black-hole singularities as temporal degree-of-freedom mergers, and biological quantum coherence in photosynthetic systems. This work presents a falsifiable, minimal extension to the Standard Model requiring no new particles or hidden dimensions, testable with near-term atomic clock experiments.
This framework preserves the empirical success of existing physical theories while proposing an alternative set of foundational assumptions from which their standard formulations emerge as effective limits. Abstract — Key Innovative Points Discrete Updating FabricThe theory postulates a fundamental discrete fabric whose elementary constituents evolve through local update processes, replacing continuous fields and background spacetime as primary entities. Irreversible Local Dynamics as FundamentalUnlike standard approaches based on unitary or reversible evolution, irreversibility is taken as ontological. Physical law emerges from irreversible local updates rather than from imposed symmetries or variational principles. Emergent Time and SpacetimeTime is not assumed as a fundamental parameter but arises from the counting of update events. Spacetime geometry emerges as a coarse-grained description of update activity across the fabric. Quantum Probability from Microstate CountingQuantum probabilities, including the Born rule, emerge from combinatorial counting of compatible microstates of the fabric, rather than being postulated axiomatically. Gravity as Update-Rate ModulationGravitational phenomena are interpreted as variations in local update rates, leading to effective curvature, time dilation, and relativistic behavior at macroscopic scales. Mass as Resistance to UpdateMass and inertia arise from stable topological structures within the fabric that resist updates, providing a dynamical origin of mass without introducing fundamental mass parameters. Fundamental Dissipation and IrreversibilityDissipation is intrinsic to the fabric dynamics and not an emergent statistical effect. The arrow of time follows directly from the irreversible nature of local updates. Extension Beyond Fundamental PhysicsThe same discrete framework accounts for macroscopic dissipative phenomena—such as friction, stick–slip dynamics, superlubricity, growth, and self-organization—linking fundamental physics and material behavior within a single process-based model. iversality Without Fundamental SymmetryLarge-scale physical laws emerge as dynamical attractors of the updating fabric, arising through elimination of unstable configurations rather than enforcement of fundamental symmetries. Emergent Rules Beyond the Born Rule in the Unified Fabric Framework The same discrete-fabric + local-update + coarse-graining structure generates multiple quantum rules without postulation. 1. Schrödinger Dynamics as an Emergent Long-Wavelength Limit Local deterministic updates on a discrete fabric admit spectral modes.In the long-wavelength limit, their evolution converges to a Schrödinger-type equation. No quantum dynamics is postulated.Only update rules and spectral structure are assumed. 2. Superposition from Coarse-Grained Microstate Counting Macroscopic amplitudes arise as sums over compatible microstates.Linearity follows from additive contributions at the amplitude level. Superposition is therefore emergent.It reflects coarse-graining, not a fundamental axiom. 3. Interference as Cross-Terms in Microstate Combinatorics Probabilities are quadratic because amplitudes sum before squaring.Cross-terms correspond exactly to interference effects. Interference is not assumed.It is a combinatorial consequence of microstate superposition. 4. Tensor Product Structure and the Origin of Entanglement Composite systems correspond to composite regions of the fabric.Global microstates factorize only if compatibility constraints separate. Entanglement arises when constraints couple subsystems.It is structural, not mysterious. 5. Decoherence from Phase Inaccessibility Observers access only coarse-grained variables.Rapidly varying microstate phases average out. Off-diagonal terms are dynamically suppressed.Decoherence emerges without postulation. 6. Measurement Collapse as Constraint Reduction Measurement is an interaction that reduces compatible microstates.The effective state updates accordingly. Collapse is not a new law.It is constraint updating under coarse-graining. 7. The Arrow of Time from Asymmetric State Counting Entropy is defined as the logarithm of compatible microstates.Local updates generically move toward larger compatible sets. Irreversibility is structural.It does not rely on subjective ignorance. 8. Coulomb Friction from Discrete Event Statistics Friction equals dissipated update energy per unit distance.The Coulomb law emerges from counting active interfacial events. The friction coefficient is not fundamental.It decomposes into microscopic event parameters. 9. Superlubricity as the Event-Free Limit Superlubricity occurs when locking events are suppressed.Dissipation is rare, not forbidden. This is a limit regime, not an exception.It confirms friction as emergent. 11. Conservation Laws from Update Invariance If the update rule is invariant under local transformations,conserved quantities emerge automatically. Noether’s theorem becomes emergent.Symmetry is a property of the update, not an axiom. 12. Classical Determinism from Phase Averaging At large scales, phase information becomes inaccessible.Only expectation values survive. Classical trajectories emerge statistically.Determinism is an effective limit. 13. Locality from Finite Update Propagation Updates propagate only through neighboring fabric nodes.Information speed is bounded. Causality is structural.Nonlocality is only apparent at coarse scales. 14. Emergent Speed Limit (c) The maximum update rate defines a universal speed.No signal can exceed it. The speed of light is not fundamental.It is a fabric update bound. 15. Metric Geometry from Update Delays Spatial curvature corresponds to spatially varying update rates.Time dilation is an update slowdown. Geometry is dynamical.The metric is emergent. 16. Gravity from Update Resistance Mass corresponds to structures resisting updates.Nearby updates slow down in response. Gravitational attraction emerges.No force field is postulated. 17. Equivalence Principle as a Structural Identity All stable update-resisting structures slow updates identically.Their response is universal. Inertial and gravitational mass coincide.Equivalence is automatic. 18. Quantization from Discrete Spectrum A finite update lattice admits discrete eigenmodes.Energy levels are quantized. Quantization is not imposed.Continuum is an approximation. 19. Noise Spectra (1/f) from Avalanche Dynamics Update cascades produce scale-free event statistics.Long-range correlations appear. 1/f noise is generic.It signals discrete underlying dynamics. 20. Criticality without Tuning The fabric naturally operates near instability thresholds.Small perturbations trigger cascades. Self-organized criticality emerges.No parameter tuning is required. 21. Thermodynamic Laws as Counting Theorems Temperature measures update activity density.Heat is disordered update flow. Thermodynamics is not independent.It is bookkeeping of updates. 22. Growth and Morphogenesis from Update Bias Directional update biases produce structured growth.Forms emerge without templates. Morphogenesis is dynamical.Shape follows update flow. 23. Fine-structure value and other unknow meaning The fine-structure value (~137) corresponds to the effective degeneracyof coherently contributing update configurations in an elementary coupling process.Proton–electron mass ratio the number of internal update cycles required to stabilize a topological vortex (proton), and a simple oscillatory update mode (electron). Mass measures cumulative resistance to updates. Lepton mass hierarchy Different stability thresholds of the same update pattern. Each mass corresponds to a different coherence regime.→ Families are metastable realizations of one structure. Reduced Planck constant Energy × time associated with one elementary update event. → ħ is the discrete unit of updating. Speed of light Maximum update propagation speed across the fabric. → c is the causal limit of the fabric. Bekenstein–Hawking entropy Number of blocked or saturated update configurations at the horizon. → An event horizon is an informational saturation boundary. Universal critical exponents They arise from the topology of update avalanches,independent of microscopic details. → Criticality is a natural fabric regime. Explanations Rarely Given in Existing Theories 1. Why probabilities are quadratic and not cubic or linear Most theories postulate P=∣ψ∣2P=|\psi|^2P=∣ψ∣2.Here it follows from coherent counting plus phase cancellation. The square is not a choice.It is the minimal stable coarse-graining. 2. Why quantum phases are physically unobservable but indispensable Phases affect interference but not outcomes directly.They label micro-configurations, not macrostates. Phase is structural memory.Measurement erases access to it. 3. Why constants are dimensionless and few Only ratios of update counts survive coarse-graining.Dimensional parameters wash out. Dimensionless constants are structural.They encode geometry, not dynamics. 4. Why “free parameters” cluster around simple numbers Many constants are order-one ratios or small inverses.They reflect combinatorial suppression. Fine tuning is apparent.It is state counting in disguise. 5. Why quantum randomness is stable and reproducible Randomness is not noise.It is deterministic micro-dynamics seen through coarse-graining. Statistics are invariant.Details are inaccessible. 6. Why identical particles are truly identical Microstates differ, macrostates do not.Labels are erased by update symmetry. Indistinguishability is enforced.It is not a postulate. 7. Why spin is quantized and half-integer values exist Spin counts topological winding in update cycles.Only discrete windings are stable. Half-integer spin reflects double-cover topology.No mystery remains. 8. Why gauge free
General relativity and quantum mechanics rely on fundamentally incompatible conceptions of spacetime: the former treats spacetime as a smooth, dynamical entity, while the latter presupposes a fixed background on which quantum states evolve. This work introduces the Collapse Spacetime Model (CSM), a foundational framework in which spacetime itself is not fundamental but emerges from discrete ontological transition events (OTEs)—objective, irreversible acts of actualization that generate localized spacetime structure. Within CSM, quantum state reduction is reinterpreted as one particular manifestation of a more general ontological transition, rather than as an anomaly within unitary dynamics. A central refinement, the Multiplicity of Spacetime Hypothesis (MSH), proposes that physical systems construct their own partial spacetimes, with the classical spacetime continuum arising from stable intersections among these locally generated structures. Constants such as the speed of light are interpreted as invariant structural ratios of spacetime co-generation, rather than as fundamental properties of matter or signals. The model aligns conceptually with causal set theory, emergent network geometry, and collapse-based approaches, while offering a unified ontological account of spacetime emergence, time’s passage, and the relational origin of geometry. CSM reframes physical reality as a becoming universe, providing a coherent foundation for quantum gravity, cosmology, and the philosophy of time, while deliberately postponing detailed dynamical and mathematical formalization to future work.
This work proposes the Collapse Clock Hypothesis, a framework in which physical time is defined by the rate of irreversible wavefunction collapse, interpreted as a process of information pruning constrained by finite informational capacity. Within this framework, spatial variations in collapse rate give rise to differential progression of proper time, providing a potential mechanism for gravitational time dilation and related phenomena. The approach integrates concepts from quantum information theory, thermodynamics, and emergent spacetime, drawing connections to prior work on entanglement entropy, holographic bounds, and thermodynamic derivations of gravitational dynamics. A computational implementation using a Score-Driven Kinetic Ising Model (SDKIM) is presented to explore whether the proposed causal chain—mass → interactions → entanglement → collapse suppression → slower time—can arise dynamically in a simplified lattice system. The simulations demonstrate robust qualitative behavior consistent with collapse-rate suppression in highly entangled regions, while also highlighting important limitations, including the use of mean-field approximations and the absence of a direct quantitative mapping to known gravitational field equations. This work is intended as a speculative but testable framework rather than a complete theory. Several falsifiable predictions are outlined, including potential signatures in precision timekeeping, quantum-coherent systems, gravitational wave phase evolution, and cosmological observables. These predictions are presented at an order-of-magnitude level and require further development for direct comparison with experimental data. The goal of this work is to explore whether irreversible information dynamics may provide a unifying underlying mechanism for time, gravity, and cosmological evolution, and to motivate further investigation into collapse-based approaches to fundamental physics.
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.
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