Time-energy uncertainty relation for neutrino oscillations in curved spacetime
Massimo BlasoneDipartimento di Fisica, Università di Salerno, via Giovanni Paolo II, 132 I-84084 Fisciano (SA), ItalyGaetano LambiaseDipartimento di Fisica, Università di Salerno, via Giovanni Paolo II, 132 I-84084 Fisciano (SA), ItalyGiuseppe Gaetano LucianoDipartimento di Fisica, Università di Salerno, via Giovanni Paolo II, 132 I-84084 Fisciano (SA), ItalyLuciano PetruzzielloDipartimento di Ingegneria, Università di Salerno, via Giovanni Paolo II, 132 I-84084 Fisciano (SA), ItalyLuca SmaldoneFaculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 18000 Praha 8, Czech Republic
2020en
ABI
Abstract
We derive the Mandelstam-Tamm time-energy uncertainty relation for neutrino oscillations in a generic stationary curved spacetime. In particular, by resorting to Stodolsky covariant formula of the quantum mechanical phase, we estimate gravity effects on the neutrino energy uncertainty. Deviations from the standard Minkowski result are explicitly evaluated in Schwarzschild, Lense-Thirring and Rindler (uniformly accelerated) geometries. Finally, we discuss how spacetime could affect the characteristic neutrino oscillation length in connection with the recent view of flavor neutrinos as unstable particles.
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Cited by 40 references