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It has been tested precisely that the inertial and gravitational masses are equal. Here we reveal that the inertial and gravitational momenta may differ. More generally, the inertial and gravitational energy-momentum tensors may not…

General Relativity and Quantum Cosmology · Physics 2012-11-21 Xiang-Song Chen

It is shown for classical and quantum ensembles that there is a unique quantity which has the properties of a "volume". This quantity is a function of the ensemble entropy, and hence provides a geometric interpretation for the latter. It…

Quantum Physics · Physics 2007-05-23 Michael J. W. Hall

By means of identical cubic elements, we generate a partition of a volume in which a particle-based cosmological simulation is carried out. In each cubic element, we determine the gas particles with a normalized density greater than an…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Guillermo Arreaga-Garcia

Electronic structure calculations are ubiquitous in most branches of chemistry, but all have errors in both energies and equilibrium geometries. Quantifying errors in possibly dozens of bond angles and bond lengths is a Herculean task. A…

Chemical Physics · Physics 2020-07-31 Stefan Vuckovic , Kieron Burke

Two definitions of the effective mass of a particle interacting with a quantum field, such as a polaron, are considered and shown to be equal in models similar to the Froehlich polaron model. These are: 1. the mass defined by the low…

Mathematical Physics · Physics 2014-02-21 Elliott H. Lieb , Robert Seiringer

A major consequence of special relativity, expressed in the relation $E_0 = m c^2$, is that the total energy content of an object at rest, including its thermal motion and binding energy among its constituents, is a measure of its inertia,…

Classical Physics · Physics 2015-06-23 Claudio O. Dib

A manifestly covariant, or geometric, field theory for relativistic classical particle-field system is developed. The connection between space-time symmetry and energy-momentum conservation laws for the system is established geometrically…

Plasma Physics · Physics 2017-11-22 Peifeng Fan , Hong Qin , Jian Liu , Nong Xiang , Zhi Yu

The purpose of this paper is to give, on one hand, a mathematical exposition of the main topological and geometrical properties of geometric transitions, on the other hand, a quick outline of their principal applications, both in…

Algebraic Geometry · Mathematics 2015-06-26 Michele Rossi

The active mass density in Einstein's theory of gravitation in the analog of Poisson's equation in a local inertial system is proportional to $\rho+3p/c^2$. Here $\rho$ is the density of energy and $p$ its pressure for a perfect fluid. By…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Ehlers , I. Ozsvath , E. L. Schucking , Y. Shang

We determine active gravitational mass operator of the simplest composite quantum body - a hydrogen atom - within the semiclassical approach to the Einstein equation for a gravitational field. We show that the expectation value of the mass…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Andrei G. Lebed

This article proposes a concept called Condensed Electromagnetic Radiation (CER) as the electromagnetic origin of mass particles. An overwhelming amount of experimental evidence is consistent with the CER concept as a fundamental…

General Physics · Physics 2007-05-23 Erik Haeffner

A generalized entropy arising in the context of superstatistics is obtained for an ideal gas. The curvature scalar associated to the thermodynamic space generated by this modified entropy is calculated using two formalisms of the geometric…

Statistical Mechanics · Physics 2018-04-18 J. L. López , O. Obregón , J. Torres-Arenas

The relation between the gravitational potential energy, W, the central potential, U, and the mass, M: W/U/M is considered for various homogeneous and inhomogeneous self-gravitating bodies.

Astrophysics · Physics 2007-05-23 Zakir F. Seidov , P. I. Skvirsky

For a large class of statistical systems a geometric mean value of the observables is constrained. These observables are characterized by a power-law statistical distribution.

Statistical Mechanics · Physics 2007-05-23 A. Rostovtsev

The masses of elementary particles and hadrons can be calculated from the periodic table of elementary particles. The periodic table is derived from dimensional hierarchy for the seven extra spatial dimensions. As a molecule is the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ding-Yu Chung

Geometric quantum mechanics aims to express the physical properties of quantum systems in terms of geometrical features preferentially selected in the space of pure states. Geometric characterisations are given here for systems of one, two,…

Quantum Physics · Physics 2007-06-13 Dorje C. Brody , Anna C. T. Gustavsson , Lane P. Hughston

Mean field methods to calculate the nuclear mass are extended into the high spin regime to calculate the nuclear binding energy as a function of proton number, neutron number and angular momentum. Comparing the trend as a function of mass…

Nuclear Theory · Physics 2009-11-11 B. G. Carlsson , I. Ragnarsson

Mass is proportional to phase gain per unit time; for e, $\pi$, and p the quantum frequencies are 0.124, 32.6, and 227 Zhz, respectively. By explaining how these particles acquire phase at different rates, we explain why these particles…

Quantum Physics · Physics 2007-05-23 Richard Shurtleff

At gravitational interactions of bodies and particles there appears the defect of masses, i.e. the energy yields since the bodies (or particles) are attracted. It is shown that this changing of the effective mass of the body (or the…

Astrophysics · Physics 2007-05-23 Kh. M. Beshtoev
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