The Undivided: A One-Dimensional Constraint on Physical Hilbert Space
Abstract
We propose a single algebraic constraint on physical Hilbert space: the total state |Ψ⟩ satisfies ⟨Ψ|Ω|Ψ⟩=1 for adistinguished self-adjoint operator Ω whose spectrum is bounded and whose unit eigenspace is one-dimensional.This constraint implies that the physical Hilbert space is effectively one-dimensional, resolving the measurement problemby eliminating branching at the fundamental level.
Fields of Study & Subjects
Quantum Mechanics and Applications
Noncommutative and Quantum Gravity Theories
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 February 2026
- Language
- EN
- Document type
- Preprint