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Detlef D\"urr, arrival-time distributions, and spin in Bohmian mechanics: Personal recollections and state-of-the-art

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arxiv 2309.15815 v1 pith:OEYJL2AL submitted 2023-09-24 physics.hist-ph quant-ph

Detlef D\"urr, arrival-time distributions, and spin in Bohmian mechanics: Personal recollections and state-of-the-art

classification physics.hist-ph quant-ph
keywords arrival-timedistributionsbohmiandetlefmechanicsquantumwhatacademic
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I recount here my association with Prof. Detlef D\"urr leading to our memorable research collaboration on arrival-time distributions in quantum mechanics. He influenced my life, both personally and professionally, as few others have or ever will. Detlef is my role model for what a brilliant, discerning scientist, academic, and mentor can and should be. The "arrival-time problem" in quantum mechanics is examined selectively, with an emphasis on the arrival-time distributions of Bohmian particles. In what follows, the "exotic" Bohmian arrival-time distributions of spin-polarized electrons accelerating down a cylindrical waveguide [S. Das and D. D\"urr, Sci. Rep. 9: 2242 (2019)], and some variations thereof are discussed. I shall not go into the mathematical treatment more than is necessary to spell out the key results. The intention is to document the circumstances and motivations underlying the ideas.

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  1. Arrival-time distributions as a probe of the preferred foliation in relativistic Bohmian mechanics

    quant-ph 2026-04 unverdicted novelty 6.0

    Arrival-time statistics in spacelike-separated EPRB measurements depend on their order relative to the preferred foliation, offering a detectable signature and implying superluminal signaling.