IMM Paper 4: Born Rule from Projection Measures
Three conditions (basis invariance, orientation independence, projection-integration stability) force μ(αm)=|α|²μ(m) without assuming Hilbert space (Theorem). Under Hilbert Embeddability Ansatz and six explicit Gleason conditions, P(i)=|⟨i|ψ⟩|² follows uniquely (Proposition). Ansatz labeled with bilateral operational consequences. Soler's theorem pathway to deriving the Ansatz identified. Qubit case (dim H=2) explicitly excluded.
Authors
- Travis Bergen
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-06-14
- DOI
- https://doi.org/10.5281/zenodo.20365728
- Primary Topic
- Quantum Mechanics and Applications
- Type
- preprint