Time-energy uncertainty relation for neutrino oscillations in curved spacetime
Massimo Blasone, Gaetano Lambiase, Giuseppe Gaetano Luciano, Luciano Petruzziello, Luca Smaldone
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.
Topics & Concepts
PhysicsMinkowski spaceNeutrino oscillationNeutrinoCovariant transformationSpacetimeConnection (principal bundle)General relativityParticle physicsMeasurements of neutrino speedQuantum field theory in curved spacetimeQuantum fluctuationOscillation (cell signaling)GravitationSpace (punctuation)QuantumMathematical physicsQuantum gravityClassical mechanicsQuantum field theorySpace timeStandard Model (mathematical formulation)Curved spaceTheoretical physicsEnergy (signal processing)Quantum electrodynamicsGravitational fieldNoncommutative and Quantum Gravity TheoriesNeutrino Physics ResearchParticle physics theoretical and experimental studies