DETERMINISM AND THE BORN RULE IN BOHMIAN MECHANICS

Date

2026-2-2

Author

Eren, Denizhan

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This thesis examines the contradiction between the deterministic dynamics of Bohmian mechanics and the probabilistic outcomes of the Born rule due to a new challenge raised by Klaas Landsman: that sequences of measurement results that are typical relative to the Born product measure are Martin-Löf random and cannot be generated by any computable deterministic process from compressible initial data. Regarding this new challenge, I assess two contemporary accounts of the Born rule: the typicality program and the Best System Account (BSA). In this thesis, I show that both these approaches fail to resolve Landsman's challenge. As an alternative, I propose a propensity interpretation: the Born rule expresses objective propensities grounded in Bohmian ontology, together with supplementary lawlike structure beyond standard BM. I argue that this alternative view reconciles deterministic laws with a dynamically grounded yet irreducible Born rule and addresses Landsman's critique

Subject Keywords

Bohmian Mechanics, Born Rule, Determinism, Algorithmic Randomness, Martin-Löf Randomness, Propensity, Best System Account

URI

https://hdl.handle.net/11511/118760

Collections

Graduate School of Social Sciences, Thesis