2023/03/13 by Jeffrey Barrett, Barrett, Jeffrey, Isaac Goldbring +1
Arts and Humanities · Mathematics · Psychology · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #Philosophy and History of Science #Philosophy and Theoretical Science #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2303.07500
openalex publication_date 2023/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the tools of nonstandard analysis, we develop and present an alternative formulation of Bohmian mechanics. This approach allows one to describe a broader assortment of physical systems than the standard formulation of the theory. It also allows one to make predictions in more situations. We motivate the nonstandard formulation with a Bohmian example system that exhibits behavior akin to Earman's (1986) classical space invaders and reverse space invaders. We then use the example to illustrate how the alternative formulation of Bohmian mechanics works.