The Uncertainty Principle, Uncertainty Relations, and Underlying Trajectories: Feynman, Nelson, Bohm, and Persistent Kac-Dirac Dynamics

arXiv:2609.29248 · quant-ph · Submitted 2026-09-24 · Read on arXiv

quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Stochastic Dynamics — 4× in this paper · explained in 2 episodes
• Admissibility — 2× in this paper · explained in 2 episodes
• Diffusion Process — 2× in this paper · explained in 2 episodes
• Admissibility Conditions — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Ontology — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes

Sources

• An answer to the Wallstrom objection against Nelsonian stochastics
• A Suggested Answer To Wallstrom's Criticism: Zitterbewegung Stochastic Mechanics I

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity