The Undivided: A One-Dimensional Constraint on Physical Hilbert Space

Key Points

• To present a new algebraic constraint on physical Hilbert space that resolves the measurement problem.
• Introduced an algebraic constraint on total state |Ψ⟩ using a self-adjoint operator Ω.
• Defined the operator Ω with a bounded spectrum and a one-dimensional eigenspace.
• The proposed constraint implies that the physical Hilbert space is effectively one-dimensional.
• Eliminating branching at the fundamental level resolves issues related to the measurement problem.

Abstract