The paper defines a geometric observable from the phase of a rephasing-invariant product of fourth-order Bargmann invariants that isolates CPT-violating contributions in neutral meson systems and inherits sidereal modulation from the SME.
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Two quantum states ρ₁ and ρ₂ commute exactly when tr(ρ₁²ρ₂²) = tr(ρ₁ ρ₂ ρ₁ ρ₂).
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A Geometric Framework for CPT Violation in Neutral Meson Mixing Using Biorthogonal Bargmann Invariants
The paper defines a geometric observable from the phase of a rephasing-invariant product of fourth-order Bargmann invariants that isolates CPT-violating contributions in neutral meson systems and inherits sidereal modulation from the SME.
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Commutativity from a single Bargmann invariant equality
Two quantum states ρ₁ and ρ₂ commute exactly when tr(ρ₁²ρ₂²) = tr(ρ₁ ρ₂ ρ₁ ρ₂).