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A tradition handed down among physicists maintains that classical physics is a perfectly deterministic theory capable of predicting the future with absolute certainty, independently of any interpretations. It also tells that it was quantum…

History and Philosophy of Physics · Physics 2023-03-09 Flavio Del Santo

The compactness phenomenon is one of the featured aspects of structuralism in mathematics. In simple and broad words, a compactness property holds in a structure if a related property is satisfied by sufficiently many substructures of that…

Logic · Mathematics 2024-08-29 Rahman Mohammadpour

This article reviews the concept of Lorentz invariant relative velocity that is often misunderstood or unknown in high energy physics literature. The properties of the relative velocity allow to formulate the invariant flux and cross…

High Energy Physics - Phenomenology · Physics 2017-02-08 Mirco Cannoni

Since ancient times, mathematics has proven unreasonably effective in its description of physical phenomena. As humankind enters a period of advancement where the completion of the much coveted theory of quantum gravity is at hand, there is…

History and Philosophy of Physics · Physics 2015-02-18 Michael Rios

Symmetry can be used to help solve many problems. For instance, Einstein's famous 1905 paper ("On the Electrodynamics of Moving Bodies") uses symmetry to help derive the laws of special relativity. In artificial intelligence, symmetry has…

Artificial Intelligence · Computer Science 2010-07-06 Toby Walsh

We investigate the structure common to causal theories that attempt to explain a (part of) the world. Causality implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalizing power of the…

History and Philosophy of Physics · Physics 2023-04-11 Karin Verelst

We correct an error that occurs with certain frequency in popular literature of Special Relativity, namely that supposedly that mass of moving objects depends on the relative velocity of the object and the observer. In this pedagogical…

Popular Physics · Physics 2019-10-29 Bert Janssen

One of the main activities in science teaching, and in particular in Physics teaching, is not only the discussion of both modern problems and problems which solution is an urgent matter. It means that the picture of an active and alive…

Physics Education · Physics 2007-05-23 V. Pleitez

Given two observers, we define the "relative velocity" of one observer with respect to the other in four different ways. All four definitions are given intrinsically, i.e. independently of any coordinate system. Two of them are given in the…

General Relativity and Quantum Cosmology · Physics 2011-08-05 Vicente J. Bolos

Why do quantum evolutions occur and why do they stop at certain points? In classical thermodynamics affinity was introduced to predict in which direction an irreversible process proceeds. In this paper the quantum mechanical counterpart of…

Quantum Physics · Physics 2018-12-11 B. Ahmadi , S. Salimi , F. Kheirandish , A. S. Khorashad

A specific theoretical framework is important for designing and conducting an experiment, and for interpretation of its results. The field of gravitational physics is expanding, and more clarity is needed. It appears that some popular…

General Relativity and Quantum Cosmology · Physics 2014-11-18 L P Grishchuk

Modification of three ideas underlying Newton's original world view, with only minor changes in context, might offer two advantages to introductory physics students. First, the students will experience less cognitive dissonance when they…

Physics Education · Physics 2007-05-23 P. Fraundorf

Our assumption that spacetime is a continuum leads to many challenges in mathematical physics. Singularities, divergent integrals and the like threaten many of our favorite theories, from Newtonian gravity to classical electrodynamics,…

Mathematical Physics · Physics 2020-02-04 John C. Baez

A spherically symmetric and static metric that describes physical coordinates is introduced. It is defined to be a metric that gives coordinate independent results for physically observable quantities without a further coordinate…

Astrophysics · Physics 2007-05-23 Yukio Tomozawa

A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relativistic systems. The latter are found to display some new…

Nuclear Theory · Physics 2024-06-04 Lorenzo Gavassino , Marcelo M. Disconzi , Jorge Noronha

Several examples are used to illustrate how we deal cavalierly with infinities and unphysical systems in physics. Upon examining these examples in the context of infinities from Cantor's theory of transfinite numbers, the only known…

Mathematical Physics · Physics 2007-05-23 P. Narayana Swamy

A vast body of literature addresses the complex nature of science's reproducibility crisis. In contrast with this perceived complexity, some recent papers from the discipline of physics suggests that irreproducibility does not point to a…

Physics and Society · Physics 2021-07-16 Andrea Saltelli , Monica Di Fiore , Francesco Spanò

We study classical limit for quantum mechanics with two times and temperature, which describes a generalized dynamics of relativistic point mass. In this theory, thermodynamic time means a parameter of evolution, whereas geometric time is…

High Energy Physics - Theory · Physics 2007-05-23 Vadim V. Asadov , Oleg V. Kechkin

It is shown that the slowing down of the rate of time referencing to the inertial time leads in the field theory of gravitation to arising of repulsive forces which remove the cosmological singularity in the evolution of a homogeneous and…

General Relativity and Quantum Cosmology · Physics 2009-04-28 S. S. Gershtein , A. A. Logunov , M. A. Mestvirishvili

Contraction theory is a mathematical framework for studying the convergence, robustness, and modularity properties of dynamical systems and algorithms. In this opinion paper, we provide five main opinions on the virtues of contraction…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Alexander Davydov , Francesco Bullo
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