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Low density plasmas are characterized by a large scale separation between the gyromotion of particles around local magnetic fields and the macroscopic scales of the system, often making global kinetic simulations computationally…

High Energy Astrophysical Phenomena · Physics 2023-09-15 Tyler Trent , Pierre Christian , Chi-kwan Chan , Dimitrios Psaltis , Feryal Ozel

We construct a generalized dynamics for particles moving in a symmetric space-time, i.e. a space-time admitting one or more Killing vectors. The generalization implies that the effective mass of particles becomes dynamical. We apply this…

General Relativity and Quantum Cosmology · Physics 2011-03-31 Sudipta Das , Subir Ghosh , Jan-Willem van Holten , Supratik Pal

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

General Relativity and Quantum Cosmology · Physics 2022-07-19 J. J. Relancio

We propose a fully covariant model for smeared particle detectors in quantum field theory in curved spacetimes. We show how effects related to accelerated motion of the detector and the curvature of spacetime influence the way different…

Quantum Physics · Physics 2020-06-26 Eduardo Martín-Martínez , T. Rick Perche , Bruno de S. L. Torres

We have previously presented a version of the Weak Equivalence Principle for a quantum particle as an exact analog of the classical case, based on the Heisenberg picture analysis of free particle motion. Here, we take that to a full…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Otto C. W. Kong

Deformed relativistic kinematics have been considered as a way to capture residual effects of quantum gravity. It has been shown that they can be understood geometrically in terms of a curved momentum space on a flat spacetime. In this…

General Relativity and Quantum Cosmology · Physics 2022-02-18 Christian Pfeifer , José Javier Relancio

We construct a theory of particles moving in curved both momentum space and spacetime, being a generalization of Relative Locality. We find that in order to construct such theory, with desired symmetries, including the general coordinate…

General Relativity and Quantum Cosmology · Physics 2014-03-05 Francesco Cianfrani , Jerzy Kowalski-Glikman , Giacomo Rosati

This paper concerns the quantisation of a rigid body in the framework of ``covariant quantum mechanics'' on a curved spacetime with absolute time. The basic idea is to consider the multi-configuration space, i.e. the configuration space for…

Mathematical Physics · Physics 2007-05-23 M. Modugno , C. Tejero Prieto , R. Vitolo

Surface plasmon resonances of metallic nanostructures offer great opportunities to guide and manipulate light on the nanoscale. In the design of novel plasmonic devices, a central topic is to clarify the intricate relationship between the…

Optics · Physics 2019-09-11 Sanghyeon Yu , Habib Ammari

Current theories of particle physics, including the standard model, are dominated by the paradigm that nature is basically translation invariant. Deviations from translation invariance are described by the action of forces. General…

High Energy Physics - Theory · Physics 2007-05-23 W. Smilga

Geometric momentum is the appropriate momentum for a particle constrained to move on a curved surface, which depends on the extrinsic curvature and leads to observable effects, and curvature-induced quantum potentials appear for a…

Quantum Physics · Physics 2025-10-01 Z. Li , L. Q. Lai

Systems consisting of spheres rolling on elastic membranes have been used to introduce a core conceptual idea of General Relativity (GR): how curvature guides the movement of matter. However, such schemes cannot accurately represent…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Shengkai Li , Hussain N. Gynai , Steven Tarr , Emily Alicea-Muñoz , Pablo Laguna , Gongjie Li , Daniel I. Goldman

In highly conducting astrophysical plasmas, charged particles are generically accelerated through Fermi-type processes involving repeated interactions with moving magnetized scattering centers. The present paper proposes a generalized…

High Energy Astrophysical Phenomena · Physics 2020-11-19 Martin Lemoine

We study propagation of high-frequency electromagnetic waves in a curved spacetime. We demonstrate how a modification of the standard geometric optics allows one to include the helicity dependent corrections into the equations of motion of…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Valeri P. Frolov

Transformation rules for coordinates, velocities and accelerations in accelerated reference frames are derived. A generalized approach of the special relativity is taken for a basis. A 7-dimensional space including projections of velocity…

Classical Physics · Physics 2007-05-23 A. A. Ketsaris

A deformed relativistic kinematics can be understood within a geometrical framework through a maximally symmetric momentum space. However, when considering this kind of approach, usually one works in a flat spacetime and in a curved…

General Relativity and Quantum Cosmology · Physics 2020-04-01 J. J. Relancio , S. Liberati

Low density plasmas in curved spacetimes, such as those found in accretion flows around black holes, are challenging to model from first principles, owing to the large scale separation between the characteristic scales of the microscopic…

High Energy Astrophysical Phenomena · Physics 2024-04-03 Tyler Trent , Karin Roley , Matthew Golden , Dimitrios Psaltis , Feryal Özel

With the aid of a Fermi-Walker chart associated with an orthonormal frame attached to a time-like curve in spacetime, a discussion is given of relativistic balance laws that may be used to construct models of massive particles with spin,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Robin W. Tucker

We develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics. The geodesics of the spacetime are expressed as integral…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Thomas P. Kling , Sophia MacQueen Pooler

Swimming in curved spacetimes is a phenomenon whereby free bodies in curved spacetimes are able to propel themselves by performing cyclic internal motions. When originally proposed, it was further suggested that, in the limit of fast…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Rodrigo Andrade e Silva
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