Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
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Classical Maxwell theory plus an ħ commutator on modes yields single-photon QED theorems, and a conjecture states that special relativity is required for consistent Haag-Kastler nets with microcausality and positive energy.
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Galilean Reeh--Schlieder Obstruction
Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
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Algebraic quantum kinematics and SR-selection
Classical Maxwell theory plus an ħ commutator on modes yields single-photon QED theorems, and a conjecture states that special relativity is required for consistent Haag-Kastler nets with microcausality and positive energy.