Quantum Mechanics as Classical Physics

Abstract

Here I explore a novel no-collapse interpretation of quantum mechanics which combines aspects of two familiar and well-developed alternatives, Bohmian mechanics and the many-worlds interpretation. Despite reproducing the empirical predictions of quantum mechanics, the theory looks surprisingly classical. All there is at the fundamental level are particles interacting via Newtonian forces. There is no wave function. However, there are many worlds.

25 pages

References in corpus (12)

• Quantum Equilibrium and the Origin of Absolute Uncertainty
• Quantum Theory of Probability and Decisions
• Dynamical Origin of Quantum Probabilities
• Solving the measurement problem: de Broglie-Bohm loses out to Everett
• Quantum phenomena modelled by interactions between many classical worlds
• Quantum Mechanics Without Wavefunctions
• Many-Worlds and Schroedinger's First Quantum Theory
• Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation
• On Galilean and Lorentz invariance in pilot-wave dynamics
• On the Uniqueness of Quantum Equilibrium in Bohmian Mechanics
• What About Quantum Theory? Bayes and the Born Interpretation
• Combining Bohm and Everett: Axiomatics for a Standalone Quantum Mechanics

Cited by in corpus (17)

• Quantum phenomena modelled by interactions between many classical worlds
• Quantum Theory and Determinism
• Electron Charge Density: A Clue from Quantum Chemistry for Quantum Foundations
• On quantum potential dynamics
• Forces on Fields
• Nonlocality in Bell's theorem, in Bohm's theory, and in Many Interacting Worlds theorising
• How (Not) to Understand Weak Measurements of Velocities
• Born rule: quantum probability as classical probability
• Making sense of Born's rule $p_{\alpha }=\Vert {\Psi }_{\alpha }{\Vert }^2$ with the many-minds interpretation
• An Elementary Proof That Everett's Quantum Multiverse Is Nonlocal: Bell-Locality and Branch-Symmetry in the Many-Worlds Interpretation
• Quantum mechanics as the dynamical geometry of trajectories
• Pilot-Wave Theory without Nonlocality
• Stochastic Mechanics Without Ad Hoc Quantization: Theory And Applications To Semiclassical Gravity
• Constructing and Constraining Wave Functions for Identical Quantum Particles
• Gravitation and cosmology with York time
• Collapse of the many-worlds interpretation: Why Everett's theory is typically wrong
• Epistemic uncertainty from an averaged Hamilton-Jacobi formalism