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When Does a Wave Become a Particle? A Time-Resolved Model of Quantum Collapse

Przemysław Krawiec, Ewa Bączkiewicz

Published Dec 27, 2025• 0 citations
Publisher

Abstract

What if wavefunction collapse is not a postulate, but a physical process with a measurable timescale? This work proposes a minimal, physically motivated model in which quantum collapse emerges from effective damping (viscosity-like) dynamics acting on an extended wave field. The framework reproduces wave-particle duality, predicts collapse times dependent on energy, and naturally explains interference as a statistical accumulation of localized events. Striking morphological similarities between simulated collapse patterns, macroscopic phenomena (rain, melting snow), and atomic-scale measurements suggest a scale-independent mechanism underlying localization. The model yields explicit numerical estimates for collapse times across energy scales, from eV to MeV, placing the collapse process within experimentally relevant regimes. If correct, this approach reframes collapse not as an abstract measurement axiom, but as an emergent dynamical phenomenon. Przemysław Krawiec, Ewa Bączkiewicz Poland, Tłokinia Kościelna, 27.12.2025 krawiec.841@gmail.com

DOI
10.5281/zenodo.18068377

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The collapse of the wave function remains one of the deepest puzzles in quantum mechanics. The Schrödinger equation is unitary and time-reversal symmetric, yet measurement requires an additional postulate that is neither—and we have no physical explanation for why. Existing interpretations either deny that collapse is real (Many-Worlds), treat it as purely subjective (QBism), or add stochastic noise by hand without deriving it from fundamental principles (GRW, CSL). We demonstrate that collapse is a real physical process requiring fundamentally irreversible dynamics. No purely unitary, time-symmetric theory can account for the objective suppression of macroscopic superpositions—irreversibility must be built into the dynamics from the start. We introduce a minimal extension of quantum mechanics through coupling to a universal scalar field (the I-field) governed by an explicit time-asymmetric field equation. Collapse emerges objectively through deterministic dissipative dynamics, with no reference to observers, measurement devices, or stochastic noise. By integrating out the I-field degrees of freedom, we derive effective Lindblad dynamics for quantum systems. The collapse rate scales quadratically with system mass, ensuring microscopic quantum coherence remains intact while macroscopic superpositions are dynamically suppressed. Unlike stochastic collapse models (GRW/CSL), the mechanism is deterministic and produces no spontaneous heating. Unlike gravitational collapse proposals (Diósi-Penrose), it provides explicit field equations rather than heuristic arguments. Unlike environmental decoherence, the irreversibility is fundamental rather than effective. The theory respects relativistic causality and makes testable predictions for current and near-future experiments in matter-wave interferometry, optomechanical systems, and molecular interferometry. Observation of mass-dependent decoherence without accompanying stochastic heating would provide strong evidence for the I-field mechanism. The framework establishes irreversibility as a fundamental interaction rather than an emergent phenomenon, providing a unified physical origin for both wave function collapse and the quantum arrow of time.
Does wave function collapse of a system contain an energy spread dependent timescale that follows, at least for this case study, the same wave-mechanical principles as that same system before collapse? If this were the case, it could suggest that collapse is a physical process that may not need to be treated as a separate postulate. We present a framework that uses subwaves to model this internal wave process. Each subwave has an amplitude and contributes to the energy distribution of the subwave ensemble. Using the Mandelstam–Tamm relation, von Neumann coupling, Schrödinger evolution, and Kuramoto–Sakaguchi synchronization, the framework leads to a locked synchronization regime between system and detector subwaves: local rephasing into a localized emergent wave on the detector. We propose spontaneousradiation experiments to search for an energy-spread-dependent characteristic spectral shape, which could indirectly reveal an energy-spread-dependent collapse time 𝑇*. Such a result could also reveal new relationships between collapse dynamics and the energetic structure of matter.
Wave-particle duality remains one of the most striking and conceptually unresolved features of quantum mechanics. Here I present a dynamical mechanism for wave-particle duality based on spontaneous stochastic mass-energy interconversion at subatomic scales. By promoting particle mass to a fluctuating quantity consistent with Einstein’s mass-energy equivalence, I derive a Schrödinger equation with an additional stochastic kinetic-phase term. Applied to the canonical double-slit experiment, the framework shows that quantum interference arises from coherent, path-dependent phase accumulation driven by mass-energy fluctuations, while particle-like localization emerges naturally at detection. The formalism yields closed-form expressions for interference visibility, predicts a momentum- and mass-dependent decoherence rate, admits a path-integral interpretation, and enables direct experimental bounds using neutron, electron, and atom interferometry. The results provide a physically grounded account of wave-particle duality without modifying the axioms of quantum mechanics.
The Cosmic Energy Inversion Theory establishes a geometric foundation for quantum mechanics wherein wave-particle duality emerges from distinct excitation regimes of a primordial energy field coupled to space-time torsion in Ehresmann-Cartan geometry. This framework resolves the measurement problem through deterministic field localization dynamics driven by torsion-mediated gradients during detector interaction, eliminating probabilistic wavefunction collapse postulates. The Born rule arises naturally from normalized geometric measure theory on energy field configurations, and explicit correspondence between the energy field and Standard Model Higgs modulus explains the electroweak scale origin. Two-particle entanglement exhibits scale-dependent behavior: volumetric decay proportional to the cube of spatial separation emerges for massive particles at laboratory scales below 100 meters, while relativistic suppression factors preserve photonic entanglement at cosmological distances, ensuring consistency with satellite quantum communication observations. Conservative parameter constraints from existing null results in atom interferometry indicate that geometric phase shifts remain below current detection thresholds, requiring factor-of-hundred sensitivity improvements for experimental verification. The theory predicts distinguishable signatures in nanoparticle decoherence rates scaling inversely with mass and in entanglement survival times for trapped-ion arrays with variable baselines, providing falsifiable tests accessible within decade-scale technological development.