General Relativistic Effects of Gravity in Quantum Mechanics: A Case of Ultra-Relativistic, Spin 1/2 Particles

Konno, Kohkichi; Kasai, Minobu

doi:10.1143/ptp.100.1145

Cited by 63 publications

(57 citation statements)

References 11 publications

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“…Also a similar asymmetry was noted by Ahluwalia-Khalilova [23]. In connection with this fact, the gravitationallyinduced neutrino oscillations were studied [24][25][26][27]. Later, the Lorentz and CPT violation scenario was addressed by Kostelecký in the context of Riemann-Cartan space-times [28].…”

Section: Introductionmentioning

confidence: 58%

Neutrino Asymmetry Around Black Holes: Neutrinos Interact With Gravity

Mukhopadhyay

2005

Mod. Phys. Lett. A

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Propagation of a fermion in curved space-time generates a gravitational interaction due to coupling of its spin with the space-time curvature connection. This gravitational interaction, which is an axialfour-vector multiplied by a four gravitational vector potential, appears as a CPT violating term in the Lagrangian which generates an opposite sign and thus asymmetry between the left-handed and the right handed partners under the CPT transformation. In the case of neutrinos, this property can generate a neutrino asymmetry in the Universe. If the background metric is of the rotating black hole, i.e. the Kerr geometry, this interaction for the neutrino is non-zero. Therefore, the dispersion energy relations for the neutrino and its anti-neutrino are different which give rise to the difference in their number densities and the neutrino asymmetry in the Universe in addition to the known relic asymmetry.

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Section: Introductionmentioning

confidence: 58%

Neutrino Asymmetry Around Black Holes: Neutrinos Interact With Gravity

Mukhopadhyay

2005

Mod. Phys. Lett. A

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“…Our approach, indeed, once extended to the fermionic case, and in particular to neutrino fields, may give new insights into the existing formalisms dealing with this topic [9,11,13,14]. Moreover, the problems of the phase shift between two neutrino mass eigenstates [11,15,34] and neutrino spin oscillations in gravitational fields [35] could be investigated.…”

Section: Discussionmentioning

confidence: 91%

Nonthermal signature of the Unruh effect in field mixing

2017

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Mixing transformations for a uniformly accelerated observer (Rindler observer) are analyzed within the quantum field theory framework as a basis for investigating gravitational effects on flavor oscillations. In particular, the case of two charged boson fields with different masses is discussed.In spite of such a minimal setting, the standard Unruh radiation is found to loose its characteristic thermal interpretation due to the interplay between the Bogolubov transformation hiding in field mixing and the one arising from the Rindler spacetime structure. The modified spectrum detected by the Rindler observer is explicitly calculated in the limit of small mass difference.

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“…References [21,22,23,24,25,26,27,28] provide extensive discussion of flavor oscillation clocks -a term I coined a few years ago to emphasize unique nature of these systems to investigate gravity with quantum test particles ¶ -and the effect of different gravitational environments. Should a violation of equivalence principle exist, the essentially constant gravitational potential produced by cosmological fluctuations in matter density would become observable in local measurements of gravitationally-induced redshift of flavor oscillation clocks.…”

Section: Equivalence Principle In the Igqrmentioning

confidence: 99%

Interface of Gravitational and Quantum Realms

Ahluwalia

2002

Mod. Phys. Lett. A

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The talk centers around the question: Can general-relativistic description of physical reality be considered complete? On the way I argue how -unknown to many a physicists, even today -the "forty orders of magnitude argument" against quantum gravity phenomenology was defeated more than a quarter of a century ago, and how we now stand at the possible verge of detecting a signal for the spacetime foam, and studying the gravitationally-modified wave particle duality using superconducting quantum interference devices.Keywords: Quantum gravity phenomenology, gravitationally-induced phases, flavoroscillation clocks, gravitationally-modified wave particle duality. PreambleThe idea for the First IUCAA Meeting on the Interface of Gravitational and Quantum Realms (17-21 December 2001, Pune, India) arose during a walk, a year before, with Naresh Dadhich. A reader who was not at IGQR-I is likely to find a contradiction between what I write here and what Naresh Dadhich and I write in the opening lines of the Preface. For that reader I note that the physics walks at IUCAA often begin with a left turn exit from the main IUCAA entrance, they wind through a narrow road on the outskirts of an open field. Mid way in the walk, on the left of that narrow lane, is a tree. The tree provides shade for a chai ("tea") and samosa break, and hosts birds of several species. After the chai the walk continues. The walk, punctuated by a chai and samosa break, is an important part of life at IUCAA. Such walks inspire a whole range of new ideas and provide an opportunity for monastic reflections.

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General Relativistic Effects of Gravity in Quantum Mechanics: A Case of Ultra-Relativistic, Spin 1/2 Particles

Cited by 63 publications

References 11 publications

Neutrino Asymmetry Around Black Holes: Neutrinos Interact With Gravity

Neutrino Asymmetry Around Black Holes: Neutrinos Interact With Gravity

Nonthermal signature of the Unruh effect in field mixing

Interface of Gravitational and Quantum Realms

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