Quantum Foundations · April 2026
Entanglement Does Not Exist
Bell tests are correct. The interpretation is wrong. Entanglement, duality, measurement, and non-locality are what a 3D observer sees when intersecting a 4D object they cannot fully perceive. The state space of quantum mechanics is the 600-cell.
Key Results
Four mysteries, one geometry
This paper identifies the state space of quantum mechanics as the 600-cell: the regular four-dimensional polytope with 120 vertices, forced by the axiom σ = 1/(1+σ) with zero free parameters. The Born rule becomes automatic projection geometry. Collapse does not occur. Measurement is a 3D hyperplane intersecting a 4D state. The central result: the 600-cell contains exactly 60 orthogonal spinor pairs {v, jv}, and the antisymmetric combination |v⟩|jv⟩ − |jv⟩|v⟩ equals √2·|ψ⁻⟩ exactly for all 60 pairs.
1
The state space of QM is the 600-cell. The Born rule is projection onto its vertices — automatic, not postulated.
2
Collapse does not occur. Measurement is a 3D hyperplane intersecting a 4D state. The shadows differ; the object does not.
3
For every one of the 60 orthogonal spinor pairs {v, jv} in the 600-cell, |v⟩|jv⟩ − |jv⟩|v⟩ = √2·|ψ⁻⟩ exactly. The singlet is discovered in the geometry, not imported.
4
The four mysteries — entanglement, duality, measurement, non-locality — are projection artefacts of a 4D object onto 3D observers.
Kill Conditions
K1: Any of the 60 spinor-pair identities failing to give √2·|ψ⁻⟩ — algebraic claim falsified
K2: A measurement outcome requiring physical collapse rather than projection — interpretation falsified
K3: An orthogonal spinor pair outside the 60 identified — uniqueness of the construction breaks