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For over a century the definitions of mass and derivations of its relation with energy continue to be elaborated, demonstrating that the concept of mass is still not satisfactorily understood. The aim of this study is to show that, starting…

广义相对论与量子宇宙学 · 物理学 2011-03-10 Stefano Re Fiorentin

A new method involving the effective wave function is used to define the mass of a particle in a standard five-dimensional extension of general relativity. The mass is inversely proportional to the magnitude of the scalar field of the extra…

广义相对论与量子宇宙学 · 物理学 2016-02-16 Paul S. Wesson

The Standard Model (SM) ascribes the observed mass of elementary particles to an effective interaction between basis states defined without mass terms and a scalar potential associated with the Higgs boson. In the relativistic field theory…

综合物理 · 物理学 2022-02-01 M. Land

Concept of inertial mass is not well defined in physics. For defining inertial mass of a particle we need to know its acceleration under some force in an inertial reference frame, which itself is defined by the motion of its background…

广义相对论与量子宇宙学 · 物理学 2015-02-17 Santanu Das

The concept of mass is central to any theory of gravity. Nevertheless, defining mass in general relativity is a difficult task, and even when it can be accomplished, we still need to investigate whether the typical properties of mass in…

广义相对论与量子宇宙学 · 物理学 2025-03-26 Níckolas de Aguiar Alves , Bruno Arderucio Costa

The physical property of mass has two distinct aspects, gravitational mass and inertial mass. The weight of a particle depends on its gravitational mass. According to the weak form of the equivalence principle, the gravitational and…

综合物理 · 物理学 2007-05-23 Fran De Aquino

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,…

经典物理 · 物理学 2015-06-23 Claudio O. Dib

Newton introduced the concept of mass in his {\it Principia} and gave an intuitive explanation for what it meant. Centuries have passed and physicists as well as philosophers still argue over its meaning. Three types of mass are generally…

综合物理 · 物理学 2012-01-19 J. L. Fry , Z. E. Musielak

Our concept of mass has evolved considerably over the centuries, most notably from Newton to Einstein, and then even more vigorously with the establishment of the standard model and the subsequent discovery of the Higgs boson. Mass is now…

综合物理 · 物理学 2023-12-14 Fulvio Melia

On the basis of the relativistic mass-energy concept we found that a proper mass of a test particle in a gravitational field depends on a potential energy, hence, a freely falling particle has a varying proper mass. Consequently, a…

天体物理学 · 物理学 2007-05-23 Anatoli Vankov

Mass is an important concept in classical mechanics, which regards a particle as a corpuscular object. But according to wave-particle duality, we know a free particle can behave like a wave. Is there a wave property that corresponds to the…

综合物理 · 物理学 2016-12-30 Donald C. Chang

The problem of quantum gravity is treated from a radically new viewpoint based on a detailed mathematical analysis of what the constitution of physical space is, which has been carried out by Michel Bounias and the author. The approach…

综合物理 · 物理学 2011-04-29 Volodymyr Krasnoholovets

The axiomatic definition of mass in classical mechanics, outlined by Mach in the second half of 19th century and improved by several authors, is simplified and extended to the theory of special relativity. According to the extended…

综合物理 · 物理学 2023-02-08 Enzo Zanchini , Antonio Barletta

In collider-based particle physics, $invariant\ mass$ refers to the magnitude of the total-momentum 4-vector of a system of particles. An expression for the invariant mass of a 2-particle system is well known; it assumes that both the total…

高能物理 - 唯象学 · 物理学 2026-02-13 M. P. Fewell

The current status of Mach's principle is discussed within the context of general relativity. The inertial properties of a particle are determined by its mass and spin, since these characterize the irreducible unitary representations of the…

广义相对论与量子宇宙学 · 物理学 2020-07-29 B. Mashhoon

We investigate the interaction of the gravitational field with a quantum particle. First, we give the proof of the equality of the inertial and the gravitational mass for the nonrelativistic quantum particle, independently of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jaroslaw Wawrzycki

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…

数学物理 · 物理学 2014-02-21 Elliott H. Lieb , Robert Seiringer

Mach's Principle is usually taken to mean that the mass of a particle as measured locally is determined in some way by the other matter in the universe. This is difficult to formalize in 4D,but is feasible in 5D if the scalar potential of…

综合物理 · 物理学 2009-01-29 Paul S. Wesson

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly derived from that fact. By contrast, in Newtonian mechanics…

经典物理 · 物理学 2015-05-30 Anatoli Babin , Alexander Figotin

The classical view of mass is that it quantifies the amount of substance and is a kinematical parameter. All matter has an attribute of mass and is a conserved quantity in any interaction. With the advent of special relativity, mass became…

科普物理 · 物理学 2012-10-09 R. Ramachandran
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