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In the past century it was believed that both the main theories (quantum mechanics and special relativity) predicted the existence of physical processes that could not be explained in the framework of classical physics. However, it has been…

General Physics · Physics 2007-11-07 Milos V. Lokajicek

The acceleration of a light buoyant object in a fluid is analyzed. Misconceptions about the magnitude of that acceleration are briefly described and refuted. The notion of the added mass is explained and the added mass is computed for an…

Fluid Dynamics · Physics 2023-05-26 Kyle McKee , Andrzej Czarnecki

We construct the gravitating mass of an isolated composite system on asymptotically-flat spacetimes within conventional general relativity and investigate when this quantity is well defined. For stationary spacetimes, this quantity is known…

General Relativity and Quantum Cosmology · Physics 2020-11-20 Zhi-Wei Wang , Samuel L. Braunstein

A part of relativistic dynamics (or mechanics) is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connecting relativistic and rest masses of bodies is presented,…

Mathematical Physics · Physics 2012-11-20 H. Andreka , J. X. Madarasz , I. Nemeti , G. Szekely

We present a new derivation of the expressions for momentum and energy of a relativistic particle. In contrast to the procedures commonly adopted in textbooks, the one suggested here requires only the knowledge of the composition law for…

Classical Physics · Physics 2009-11-10 Sebastiano Sonego , Massimo Pin

We deduce from energy conservation a lower bound on the mass of any system capable of imparting a constant acceleration to a charged body. We also point out a connection between this bound and the so called dominant energy condition of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael D. Sorkin

The existence of vacuum fluctuations leads to reconsider the question of relativity of motion. The present article is devoted to this aim with a main line which can be formulated as follows: ``The principle of relativity of motion is…

Quantum Physics · Physics 2007-05-23 Marc-Thierry Jaekel , Astrid Lambrecht , Serge Reynaud

It appears to follow from the Reissner-Nordstrom solution of Einstein's equations that the charge of a body reduces its gravitational field. In a recent note Hushwater offered an explanation of this apparent paradox. His explanation,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vesselin Petkov

Geometrically the phase space of a mechanical system involves the co-tangent bundle of the configuration space. The phase space of a relativistic field theory is infinite dimensional and can be endowed with a symplectic structure defined in…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Brian P Dolan

Hidden momentum is a puzzling phenomenon associated with magnetic dipoles and other extended relativistic systems. We point out that the origin of hidden momentum lies in the effective change of individual particle masses of a composite…

Classical Physics · Physics 2025-03-11 Bruno Klajn , Hrvoje Nikolić

Mass-superselection rule (MSR) states that in the non-relativistic quantum theory superpositions of states with different masses are unphysical. While MSR features even in textbooks, its validity, physical content and consequences remain…

Quantum Physics · Physics 2019-06-11 Magdalena Zych , Daniel M. Greenberger

An equation of motion of the mass point with internal degrees of freedom in scalar potential $U$ depending on relative coordinates and time, velocity and accelerations is obtained both for non-relativistic and relativistic case. In…

High Energy Physics - Theory · Physics 2010-10-25 A. N. Tarakanov

An infinite number of elastically colliding balls is considered in a classical, and then in a relativistic setting. Energy and momentum are not necessarily conserved globally, even though each collision does separately conserve them. This…

History and Philosophy of Physics · Physics 2019-09-04 David Atkinson , Porter Johnson

Relativity, time reversal invariance in mechanics and principle of causality can be in the bases of a type of vibration of the extensive objects. It is because, the detailed analysis of the relativistic movement of an extensive body entail…

General Physics · Physics 2007-05-23 Enrique Oradaz Romay

The earlier paper, Inertial Mass, Its Mechanics - What It Is; How It Operates, developed the mechanics of inertial mass. The present paper is for the purpose of equivalently developing gravitation. The behavior of gravitation is well known,…

General Physics · Physics 2007-05-23 Roger Ellman

Based on a physical monism, which holds that the matter and space are classified by not a difference of their kind but a difference of magnitude of their density, I derive the most fundamental equation of motion, which is capable of…

General Physics · Physics 2007-05-23 Seong-Dong Kim

Various facets of the concept of mass are discussed. The masses of elementary particles and the search for higgs. The masses of hadrons. The pedagogical virus of relativistic mass.

High Energy Physics - Phenomenology · Physics 2016-12-07 L. B. Okun

We examine the problem of motion of an oscillating mass object provided no external force is applied to it. Calculations directly lead to the conclusion that the body accelerates in each system of reference except for the rest reference…

General Physics · Physics 2011-03-18 Tomasz Lanczewski

A simple and {\it innocent} modification of Poisson's equation leads to a modified Newtonnian theory of gravitation where a localized and {\it positive} energy density of the gravitational field contributes to its own source. The result is…

Classical Physics · Physics 2009-05-17 Lluis Bel

Massive gravity is a theory which has a tremendous amount of freedom to describe different cosmologies; but at the same time the various solutions one encounters must fulfill some rather nontrivial constraints. Most of the freedom comes not…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Prado Martin-Moruno , Matt Visser