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The contribution of gravitational neutrino oscillations to the solar neutrino problem is studied by constructing the Dirac Hamiltonian and calculating the corresponding dynamical phase in the vicinity of the Sun in a non-Riemann background…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Adak , T. Dereli , L. H. Ryder

After analyzing Dirac's equation, one can suggest that a well-known quantum-mechanical momentum operator is associated with relativistic momentum, rather than with non-relativistic one. Consideration of relativistic energy and momentum…

Mathematical Physics · Physics 2013-04-01 Gintautas P. Kamuntavičius

We study spin oscillations of massive Dirac neutrinos in background matter, electromagnetic and gravitational fields. First, using the Dirac equation for a neutrino interacting with the external fields in curved spacetime, we rederive the…

High Energy Physics - Phenomenology · Physics 2019-06-26 Maxim Dvornikov

In this paper, we aim to explore the interplay between neutrinos and quantum gravity, illustrating some proposals about the use of these particles as probes for the supposed quantized structure of spacetime. The residual signatures of a…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Marco Danilo Claudio Torri , Lino Miramonti

A general formalism is presented for violations of Lorentz and CPT symmetry in the neutrino sector. The effective hamiltonian for neutrino propagation in the presence of Lorentz and CPT violation is derived, and its properties are studied.…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Matthew Mewes

We review critically the main assumptions on which the standard theory of neutrino oscillations is based. We show that all assumptions are realistic, except the so-called "equal momentum assumption", which however is irrelevant. We briefly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carlo Giunti

These notes provide a review of various neutrino mass model and their implications for particle physics and the Standard Model. We discuss how mass terms are incorporated into the Standard Model, including the Dirac mass term and the…

High Energy Physics - Phenomenology · Physics 2023-10-30 Aditya Dev

We show that all the available experimental information involving neutrinos can be accounted for within the framework of already existing models where neutrinos have zero mass at tree level, but obtain a small Dirac mass by radiative…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Barenboim , F. Scheck

Nonlinear modifications of quantum theory are considered potential candidates for the theory of quantum gravity, with the intuitive argument that since Einstein field equations are nonlinear, quantum gravity should be nonlinear as well.…

Quantum Physics · Physics 2025-06-06 Ruben Campos Delgado , Martin Plávala

Neutrino oscillations have become well-known phenomenon; the measurements of neutrino mixing angles and mass squared differences are continuously improving. Future oscillation experiments will eventually determine the remaining unknown…

High Energy Physics - Phenomenology · Physics 2015-09-30 O. G. Miranda , H. Nunokawa

The quantum predictions for a single nonrelativistic spin-1/2 particle can be reproduced by noncontextual hidden variables. Here we show that quantum contextuality for a relativistic electron moving in a Coulomb potential naturally emerges…

Quantum Physics · Physics 2013-02-18 Jing-Ling Chen , Hong-Yi Su , Chunfeng Wu , Dong-Ling Deng , Adan Cabello , L. C. Kwek , C. H. Oh

Space-time localization diagrams ``unlock" subtle aspects of $\nu$ oscillations such as coherence and entanglement. Observability of propagation decoherence in oscillating neutrino state is discussed. The sizes of WPs of reactor and source…

High Energy Physics - Phenomenology · Physics 2022-12-21 Alexei Y Smirnov

Quantum gravity may involve models with stochastic fluctuations of the associated metric field, around some fixed background value. Such stochastic models of gravity may induce decoherence for matter propagating in such fluctuating space…

High Energy Physics - Phenomenology · Physics 2009-07-22 Alexander Sakharov , Nick Mavromatos , Anselmo Meregaglia , Andre Rubbia , Sarben Sarkar

We investigate how models for neutrino-nucleus cross sections based on different assumptions for the nuclear dynamics affect the forecasted sensitivities to neutrino oscillation parameters at future neutrino facilities. We limit ourselves…

High Energy Physics - Phenomenology · Physics 2011-03-07 Enrique Fernandez-Martinez , Davide Meloni

Why are different mass states coherent? What is the correct formula for the oscillation phase? How can textbook formulas for oscillations in time describe experiments which never measure time? How can we treat the different velocities and…

High Energy Physics - Phenomenology · Physics 2014-11-18 Harry J. Lipkin

Control over quantum electrodynamics (QED) radiative corrections is critical for precise determination of neutrino oscillation probabilities from observed (anti)neutrino detection rates. It is particularly important to understand any…

High Energy Physics - Phenomenology · Physics 2022-11-23 Oleksandr Tomalak , Qing Chen , Richard J Hill , Kevin S McFarland , Clarence Wret

Thanks to feeble interactions, neutrinos show special advantages in the field of quantum information (QM). The properties of quantum correlations (QCs) are fundamental for neutrino-based QM. In this paper, we investigate the influence of…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Ze-Wen Li , Shu-Jun Rong

In this paper, we develop approximative two-flavor neutrino oscillation formulas including subleading nonstandard interaction effects. Especially, the limit when the small mass-squared difference approaches zero is investigated. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mattias Blennow , Tommy Ohlsson

A consistent description of neutrino oscillations requires either the quantum-mechanical (QM) wave packet approach or a quantum field theoretic (QFT) treatment. We compare these two approaches to neutrino oscillations and discuss the…

High Energy Physics - Phenomenology · Physics 2012-11-21 Evgeny Kh. Akhmedov , Joachim Kopp

New and more precise measurements of neutrino cross sections have renewed the interest in a better understanding of electroweak interactions on nucleons and nuclei. This effort is crucial to achieve the precision goals of the neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-19 L. Alvarez-Ruso , Y. Hayato , J. Nieves