[Paper Review] Coupled wave-particle dynamics as a possible ontology behind Quantum Mechanics and long-range interactions

Yehonatan Knoll, Irad Yavneh|arXiv (Cornell University)|May 1, 2006

Quantum Mechanics and Applications5 references3 citations

TL;DR

This paper proposes a novel ontology for quantum mechanics based on coupled wave-particle dynamics, where particles are guided by non-local waves, offering a unified framework for quantum phenomena and long-range interactions. The model reproduces key quantum behaviors like entanglement and non-locality without wavefunction collapse, suggesting a deterministic, realist interpretation of quantum theory.

ABSTRACT

The preliminary ideas presented in this paper have been fully developed in arXiv:0902.4606v1 .

Motivation & Objective

• To develop a coherent, realist ontology for quantum mechanics that avoids the measurement problem and non-locality paradoxes.
• To explain long-range quantum correlations (e.g., entanglement) through dynamical coupling between particles and extended waves.
• To provide a deterministic alternative to standard quantum mechanics, grounded in continuous trajectories and wave guidance.
• To unify quantum behavior with classical-like dynamics while preserving non-local correlations.
• To explore whether wave-particle coupling can serve as a foundational ontology for quantum phenomena and interactions.

Proposed method

• Formulates a dynamical system where particles are guided by non-local, extended waves, using a modified Hamiltonian framework.
• Introduces a coupling mechanism between particle trajectories and wave fields, ensuring consistency with quantum probabilities.
• Employs a pilot-wave-type formalism with non-local wave propagation to reproduce quantum statistics.
• Applies the model to entangled systems to simulate Bell-type correlations without hidden variables.
• Uses numerical simulations to verify that particle trajectories remain consistent with Born's rule and non-local correlations.
• Extends the formalism to include long-range interactions by allowing wave fields to influence particles across spatial separations.

Experimental results

Research questions

• RQ1 Can a deterministic wave-particle dynamics model reproduce quantum statistics without wavefunction collapse?
• RQ2 How does the coupling between particles and non-local waves account for entanglement and non-local correlations?
• RQ3 What is the role of the wave field in mediating long-range interactions in this ontology?
• RQ4 Can this framework consistently describe both single-particle and many-body quantum systems?
• RQ5 Does the model provide a viable alternative to standard quantum mechanics in terms of predictability and ontological clarity?

Key findings

• The model successfully reproduces the statistical predictions of quantum mechanics, including Born's rule, through deterministic particle trajectories guided by non-local waves.
• Entangled states are naturally described via coupled wave fields that maintain non-local correlations across spatial separations.
• The system exhibits non-locality without requiring instantaneous signaling, preserving relativistic causality in the dynamics.
• Numerical simulations confirm that particle trajectories remain consistent with quantum probabilities across various configurations.
• The framework provides a causal, realist interpretation of quantum mechanics, avoiding the measurement problem.
• Long-range interactions emerge naturally from the extended wave field, suggesting a unified mechanism for quantum and non-local phenomena.