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Examination of the Einstein energy-momentum relationship suggests that simple unbound forms of matter exist in a four-dimensional Euclidean space. Position, momentum, velocity, and other vector quantities can be expressed as Euclidean…

Quantum Physics · Physics 2007-05-23 Paul J. Freitas

We investigate the ratio of gravitational binding energy to rest mass in general relativity. For N pointlike masses, an upper bound on the magnitude of this ratio can be derived using the second law of black hole dynamics. Only as N…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stephen D. H. Hsu

According to Einstein, the trajectory of a particle that is predicted by special relativistic mechanics is well approximated by the trajectory predicted by Newtonian mechanics if the particle speed is low, i.e., much less than the speed of…

Classical Physics · Physics 2015-06-26 Boon Leong Lan

Understanding the connections between information and thermodynamics has been among the most visible applications of stochastic thermodynamics. While recent theoretical advances have established that the second law of thermodynamics sets…

Statistical Mechanics · Physics 2021-10-22 Joseph N. E. Lucero , Jannik Ehrich , John Bechhoefer , David A. Sivak

First, we extend the special relativity into the superluminal case and put forward a superluminal theory of kinematics, in which we show that the temporal coordinate need exchanging with one of the spatial coordinates in a superluminal…

General Physics · Physics 2009-07-22 Z. C. Tu , Z. Y. Wan

We study the constraints on reciprocal and non-reciprocal many-body radiative heat transfer imposed by symmetry and the second law of thermodynamics. We show that the symmetry of such a many-body system in general forms a magnetic group,…

Optics · Physics 2020-08-05 Cheng Guo , Shanhui Fan

With the discussion of three examples, we aim at clarifying the concept of energy transfer associated with dissipation in mechanics and in thermodynamics. The dissipation effects due to dissipative forces, such as the friction force between…

Classical Physics · Physics 2016-06-09 Julio Guemez , Manuel Fiolhais

In the relativistic uniform model for continuous medium the integral theorem of generalized virial is derived, in which generalized momenta are used as particles momenta. This allows us to find exact formulas for the radial component of the…

Classical Physics · Physics 2019-12-19 Sergey G. Fedosin

Recent work in Relative Locality has shown that the theory allows for a solution of an on-shell causal loop. We show that the theory contains a different type of a loop in which locally momenta are conserved, but there is no global momentum…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Andrzej Banburski

In the context of departures from Special Relativity written as a momentum power expansion in the inverse of an ultraviolet energy scale M, we derive the constraints that the relativity principle imposes between coefficients of a deformed…

High Energy Physics - Theory · Physics 2013-03-21 J. M. Carmona , J. L. Cortes , F. Mercati

Here we develop a model for the relativistic spring. We examine the effects of revising the simple harmonic oscillator to include relativistic momentum and a delayed force law. These corrections alter two of the most significant features of…

Classical Physics · Physics 2012-05-17 Dylan P. Clark

Experiments quantifying the rotational and translational motion of particles in a dense, driven, 2D granular gas floating on an air table reveal that kinetic energy is divided equally between the two translational and one rotational degrees…

Soft Condensed Matter · Physics 2015-06-03 Kiri Nichol , Karen E. Daniels

In the theory of special relativity, energy can be found in two forms: kinetic energy and rest mass. Potential energy of a body is actually stored under the form of rest mass, interaction energy too, temperature is not. Information acquired…

General Physics · Physics 2024-04-17 D. Lairez

Energy transport can reveal information about interacting many-body systems beyond other transport probes. In particular, in one dimension it has been shown that the energy current is directly proportional to the central charge, thus…

Strongly Correlated Electrons · Physics 2020-05-27 Sonja Fischer , Christoph Karrasch , Dirk Schuricht , Lars Fritz

We consider a generalisation of thermodynamics that deals with multiple conserved quantities at the level of individual quantum systems. Each conserved quantity, which, importantly, need not commute with the rest, can be extracted and…

Quantum Physics · Physics 2016-07-14 Yelena Guryanova , Sandu Popescu , Anthony J. Short , Ralph Silva , Paul Skrzypczyk

The comparison of form factors calculated from a single-particle current in different relativistic quantum mechanic approaches evidences tremendous discrepancies. The role of constraints coming from space-time translations is considered…

Nuclear Theory · Physics 2009-02-19 B. Desplanques , Y. B. Dong

We study a recently derived fully relativistic kinetic model for spin-1/2 particles. Firstly, the full set of conservation laws for energy, momentum and angular momentum are given, together with an expression for the (non-symmetric)…

Plasma Physics · Physics 2019-08-09 R. Ekman , H. Al-Naseri , J. Zamanian , G. Brodin

The properties of a one space-dimension, one particle dynamical system under the influence of a purely dissipative force are investigated. Assuming this force depends only on the velocity, it is demonstrated, in contrast to the case of…

Computational Physics · Physics 2014-05-19 Ronald E. Mickens , Kale Oyedeji

We apply a simple decomposition to the energy of a moving particle. Based on this decomposition, we identify the potential and kinetic energies, then use them to give general definitions of momentum and the various kinds of forces exerted…

Classical Physics · Physics 2019-01-08 Artice M. Davis

Energy diffusion due to spontaneous localization (SL) for a relativistically-fast moving particle is examined. SL is an alternative to standard quantum theory in which quantum state reduction is treated as a random physical process which is…

Quantum Physics · Physics 2013-09-04 Daniel Bedingham