Bohmian Trajectories for Hamiltonians with Interior-Boundary Conditions · HackerPapers discussions

Bohmian Trajectories for Hamiltonians with Interior-Boundary Conditions — mentioned by jostylr

Mon, 17 Mar 2025 03:29:54 GMT

Bohmian mechanics is based on the idea that we perceive stuff to be in a certain position in a single reality because there is a correspondence to stuff being actually there. That's nice. If the particles are surfing a wave and not impacting it, so be it. It is also rather nice to think of the particles as just being points in space with nothing else associated with them; an electron is just an electron because the portion of the wave function that is relevant and guiding it is the electron portion; see a paper from 2004 entitled "Are all particles identical?" [1] (I am a coauthor on that).…

Paper and discussion history. A mention is not an endorsement.

Bohmian Trajectories for Hamiltonians with Interior-Boundary Conditions — mentioned by jostylr

Tue, 11 Jul 2023 01:24:40 GMT

Here are a some papers: Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions https://arxiv.org/abs/1506.00497 This is perhaps the first of the papers and so may be a good place to start. Bohmian Trajectories for Hamiltonians with Interior-Boundary Condition https://arxiv.org/abs/1809.10235 This is the Bohmian part of the story. Multi-Time Wave Functions https://arxiv.org/abs/1702.05282 This explains the trickiness of having interactions with multi-time wave functions (space-time suggests having multi-time wave functions and no single time). Creation Rate of Dirac Particles…

Paper and discussion history. A mention is not an endorsement.

Bohmian Trajectories for Hamiltonians with Interior-Boundary Conditions — mentioned by jostylr

Sun, 21 Jul 2019 22:25:14 GMT

What EPR and Bell's arguments showed is that if you have definite results of experiments at the space-time locations where/when we think the results happened, then there has to be something non-local going on and a foliation is the simplest way to orchestrate that. So either give up a certain kind of definiteness (MW) or introduce a foliation (BM). A foliation is somewhat unpleasant, but there are ways to tease them out of the existing structures of relativity + wave function [0]. As for determinism, that is not the main point for many proponents of BM. Rather, it was about having a clear…

Paper and discussion history. A mention is not an endorsement.