The Born Rule as Constraint Measure: Dissolving the Probability Problem in Quantum Mechanics

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Authors: Ryuhei ISHIBASHI
Cited by: 0

Abstract

The Born rulethe prescription that measurement probabilities equal the squared mod- ulus of wave function amplitudeshas resisted satisfactory explanation for nearly a century. We argue that this diculty stems from a hidden assumption: that probability names a causal concept requiring causal explanation. Drawing on causal eliminativism, we reinterpret the Born rule not as describing the probabilistic eects of measurement, but as specifying a measure on the space of constraint-satisfying congurations. From this perspective, Glea- son's theorem does not derive probability from quantum mechanics; rather, it identies |ψ|2 as the unique coherent measure compatible with Hilbert space geometry. The question Why does measurement cause probabilistic outcomes? dissolves: there is no causation, hence no probabilistic causation, hence no puzzle. What remains is a geometric fact about constraint structure

Fields of Study & Subjects

Quantum Mechanics and Applications Philosophy and History of Science Philosophy Science and History

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
15 January 2026
Language
EN
Document type
Preprint