What question did this study set out to answer?

To present a new algebraic constraint on physical Hilbert space that resolves the measurement problem.

February 19, 2026Open Access

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

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.

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Vinness Aisingioro Ollervides (Mon,) studied this question.

www.synapsesocial.com/papers/6996a7ffecb39a600b3ee467 — DOI: https://doi.org/10.5281/zenodo.18656161

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

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