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A new derivation of the acceleration of a particle in a non-inertial reference frame, including the Coriolis effect, is developed using the geometry of complex numbers in the complex plane.

Classical Physics · Physics 2008-03-28 Eli Lansey

It is shown that the force in relativistic mechanics is not only the cause of acceleration of particle relative to an inertial frame of reference, but also the cause of change of the course of time along the particle's trajectory. Therein…

General Physics · Physics 2007-05-23 V. P. Oleinik

We consider a collision between a moving particle and a fixed system, each having internal degrees of freedom. We identify the regime where the motion of the particle acts as a work source for the joint internal system, leading to energy…

Quantum Physics · Physics 2022-06-29 Samuel L. Jacob , Massimiliano Esposito , Juan M. R. Parrondo , Felipe Barra

We consider a cylindrical metallic magnet that is set into rotation about a horizontal axis by a falling mass. In such a system the magnetic field will cause a radial current which is non-solenoidal. This leads to charge accumulation and a…

Classical Physics · Physics 2011-08-08 H. S. Mani , Praveen Pathak , Vijay A. Singh

An important methodological problem of theoretical mechanics related to inertia is discussed. Analysis Inertia is performed in four-dimensional Minkowski space-time based on the law of conservation of energy-momentum. This approach allows…

General Physics · Physics 2022-04-19 Yurii A. Spirichev

This paper argues that the physics of condensed matter cannot be fully reduced to the supposedly fundamental quantum mechanical theory for all the atoms of which the system consists. In fact, there are many reasons to reject the idea that…

History and Philosophy of Physics · Physics 2019-09-04 Barbara Drossel

In Newtonian mechanics, inertial pseudoforces - or fictitious forces - appear in systems studied in non-Galilean reference frames; e.g., a centrifugal force seems to arise if the dynamics is analyzed in a rotating reference frame. The…

High Energy Physics - Phenomenology · Physics 2022-11-14 S. J. Brodsky , A. Deur , C. D. Roberts

In a series of previous articles by the author, it was shown that one could effectively give a variational formulation to non-conservative mechanical systems, as well as ones that subject to non-holonomic constraints by starting with the…

Mathematical Physics · Physics 2011-09-05 D. H. Delphenich

Work extraction from a heat engine in a cycle by a quantum mechanical device (quantum "piston") is analyzed. The standard definition of work fails in the quantum domain. The correct extractable work and its efficiency bound are shown to…

Quantum Physics · Physics 2013-10-11 D. Gelbwaser-Klimovsky , R. Alicki , G. Kurizki

Quantum mechanics---the theory describing the fundamental workings of nature---is famously counterintuitive: it predicts that a particle can be in two places at the same time, and that two remote particles can be inextricably and…

The Lorentz symmetry group entails physical equations whose solutions are retarded. This leads to the concept of a relativistic engine resulting from retardation of electromagnetic fields. We have shown that Newton'n third law cannot…

General Physics · Physics 2023-03-06 Asher Yahalom , Moshe Sagi

This paper studies the energy decoherence of an interacting quantum system. It first reviews the experiments that motivated the postulates of quantum mechanics. It then discusses a decoherence that occurs dynamically in a closed system.…

Quantum Physics · Physics 2024-12-03 Henry Crumley

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

Energy is no doubt an intuitive concept. Following a previous analysis on the nature of elementary particles and associated elementary quantum fields, the peculiar status and role of energy is scrutinised further at elementary and larger…

We will prove that, in general, a system formed by several particles moving along relativistic trajectories can not be described by a mechanical system. The contradiction that leads to the previous assertion is due to the fact that a…

Mathematical Physics · Physics 2019-07-12 Jesús Muñoz-Díaz , Ricardo J. Alonso-Blanco

Lagrangian mechanics uses d'Alembert's principle of zero virtual work as an important starting point. The orthogonality of the force of constraint and virtual displacement is emphasized in literature, without a clear warning that this is…

Classical Physics · Physics 2007-05-23 Subhankar Ray , J. Shamanna

The potential energy problem in a gravitationally bound two-body system has recently been studied in the framework of a proposed impact model of gravitation \citep{WilDwi}. The result was applied to the free fall of the so-called…

General Physics · Physics 2017-07-19 K. Wilhelm , B. N. Dwivedi

The principle of covariance, a cornerstone of modern physics, asserts the equivalence of all inertial frames of reference. Fluctuation theorems, as extensions of the second law of thermodynamics, establish universal connections between…

Statistical Mechanics · Physics 2025-06-18 Ji-Hui Pei , Jin-Fu Chen , H. T. Quan

A concept of kinetic energy in quantum mechanics is analyzed. Kinetic energy is a non-zero positive value in many cases of bound states, when a wave function is a real-valued one and there are no visible motion and flux. This can be…

Chemical Physics · Physics 2009-08-07 Yuri Kornyushin

The inertial (due to rotation) and gravitational fields of the Earth affect the motion of an elementary particle and its spin dynamics. This influence is not negligible and should be taken into account in high-energy physics experiments.…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev
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