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This is no longer true after twisting the coproduct

Twisted flip, twisted statistics For two identical particles in the commutative theory, particle exchange is implemented by the ordinary flip operator τ0(ϕ⊗ψ) =ψ⊗ϕ

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Bell nonlocality from twisted statistics

quant-ph · 2026-08-06 · conditional · novelty 5.0

For a free scalar field on the Moyal plane, if the source couples to the twist-dressed field, the prepared two-particle state yields a maximal CHSH value S = 2 sqrt(1 + sin^2(chi/2)), exceeding 2 whenever the invariant momentum phase chi is nonzero.

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  • Bell nonlocality from twisted statistics quant-ph · 2026-08-06 · conditional · none · ref 3

    For a free scalar field on the Moyal plane, if the source couples to the twist-dressed field, the prepared two-particle state yields a maximal CHSH value S = 2 sqrt(1 + sin^2(chi/2)), exceeding 2 whenever the invariant momentum phase chi is nonzero.