Pilot-wave quantum theory in discrete space and time and the principle of least action

DOI10.1007/s10701-016-0026-7zbMath1381.81014arXiv1606.02883OpenAlexW3103984925WikidataQ59473464 ScholiaQ59473464MaRDI QIDQ1691928

Janusz Gluza, Jerzy Kosek

Publication date: 25 January 2018

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02883

zbMATH Keywords

Markov processesquantum mechanicsinterpretations

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) General and philosophical questions in quantum theory (81P05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Cites Work

• A class of Wasserstein metrics for probability distributions
• On Galilean and Lorentz invariance in pilot-wave dynamics.
• A proposal for a Bohmian ontology of quantum gravity
• Quantum Hamiltonians and stochastic jumps
• Speakable and Unspeakable in Quantum Mechanics
• Quantum Physics Without Quantum Philosophy
• A Computable Universe
• The Wasserstein distance and approximation theorems
• Trajectories and particle creation and annihilation in quantum field theory
• Approximations for Probability Distributions and Stochastic Optimization Problems
• Bell-type quantum field theories
• On the Problem of Hidden Variables in Quantum Mechanics
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Optimal Transport
• Bohmian trajectories for photons
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