Quantum-controlled interactions without field degrees of freedom are shown to be unavoidably retrocausal, but the retrocausal contribution scales as L/T for long interaction times, and in current GME proposals it lies far below experimental resolution.
In analogy to the classical interaction (5), we prescribe the interaction Hamiltonian as ˆHint(t) = λ Z d3x ˆja (a)(x) ˆϕ(a)(x) + ˆjb (a)(x) ˆϕ(a)(x)
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Causality in relativistic quantum interactions without mediators
Quantum-controlled interactions without field degrees of freedom are shown to be unavoidably retrocausal, but the retrocausal contribution scales as L/T for long interaction times, and in current GME proposals it lies far below experimental resolution.