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Gavassino, L.; Disconzi, M.; Noronha, J. (, Physical Review Letters)
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Gavassino, L; Disconzi, M; Noronha, J (, Physical Review Letters)We show that linear superpositions of plane waves involving a single-valued, covariantly stable dispersion relation $$\omega(k)$$ always propagate outside the lightcone, unless $$\omega(k) =a+b k$$. This implies that there is no notion of causality for individual dispersion relations, since no mathematical condition on the function $$\omega(k)$$ (such as the front velocity or the asymptotic group velocity conditions) can serve as a sufficient condition for subluminal propagation in dispersive media. Instead, causality can only emerge from a careful cancellation that occurs when one superimposes all the excitation branches of a physical model. This is shown to happen automatically in local theories of matter that are covariantly stable.more » « less
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Alba, P.; Mantovani Sarti, V.; Noronha, J.; Noronha-Hostler, J.; Parotto, P.; Portillo Vazquez, I.; Ratti, C. (, Physical Review C)
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Achenbach, P.; Adhikari, D.; Afanasev, A.; Afzal, F.; Aidala, C.A.; Al-bataineh, A.; Almaalol, D.K.; Amaryan, M.; Androić, D.; Armstrong, W.R.; et al (, Nuclear Physics A)
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