Galilean AQFT with mass superselection is incompatible with the Reeh-Schlieder property that holds as a theorem in relativistic AQFT.
Journal of Physics A: Mathematical and General 15(12), 3693–3704 (1982)
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Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.
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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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Pseudospectrum and black hole quasi-normal mode (in)stability
Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.