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We consider an inverse variational problem for the lines of constant curvature in (pseudo-)Euclidean two-, three-, and four-dimensional spaces. The accumulated results are physically meaningful in the case of relativistic mechanics of…

Classical Analysis and ODEs · Mathematics 2022-02-17 R. Ya. Matsyuk

The phenomenon of the Dark matter baffles the researchers: the underlying dark particle has escaped so far the detection and its astrophysical role appears complex and entangled with that of the standard luminous particles. We propose that,…

High Energy Physics - Phenomenology · Physics 2023-08-07 Fabrizio Nesti , Paolo Salucci , Nicola Turini

Although gauge invariance preserves the values of physical observables, a gauge transformation can introduce important alterations of physical interpretations. To understand this, it is first shown that a gauge transformation is not, in…

Quantum Physics · Physics 2013-02-07 H. R. Reiss

Motivated by ideas about quantum gravity, a tremendous amount of effort over the past decade has gone into testing Lorentz invariance in various regimes. This review summarizes both the theoretical frameworks for tests of Lorentz invariance…

General Relativity and Quantum Cosmology · Physics 2015-06-25 David Mattingly

Some hypothetical particles are considered essentially undetectable because they are far too light and slow-moving to transfer appreciable energy or momentum to the normal matter that composes a detector. I propose instead directly…

Quantum Physics · Physics 2013-08-01 C. Jess Riedel

Lattice gauge theory's discretization of spacetime suffers from a drawback in that Lorentz covariance is lost because the axes of the lattice create preferred directions in spacetime. Smaller and smaller lattice spacings decrease the effect…

Mathematical Physics · Physics 2012-11-01 Timothy D. Andersen

The measurement problem is to explain why a system which is in a linear combination of states appears, upon measurement, to be in just one of those states. The solution given here is to first show that if one assumes linear, unitary, no…

Quantum Physics · Physics 2013-04-30 Casey Blood

We elucidate how different theoretical assumptions bring about radically different interpretations of the same experimental result. We do this by analyzing special relativity as it was originally formulated. Then, we examine the…

History and Philosophy of Physics · Physics 2024-09-09 Alejandro Cassini , Leonardo Levinas

Recent studies of spacetime anisotropy in the context of local Lorentz invariance (LLI) based on classical Michelson-Morley experiments, as well Kennedy-Thorndyke tests, pointed out the existence of terms first order in v/c and of angular…

General Physics · Physics 2007-05-23 R. Assumpcao

It was recently suggested that possible small volations of Lorentz invariance could explain the existence of UHECR beyond the GZK cutoff and the observations of multi-TeV gamma-rays from Mkn 501. Our analysis of Lorentz-violating kinematics…

Astrophysics · Physics 2011-05-12 H. Vankov , T. Stanev

The intrinsic unsharpness of a quantum observable is studied by introducing the notion of resolution width. This quantification of accuracy is shown to be closely connected with the possibility of making approximately repeatable…

Quantum Physics · Physics 2009-03-18 C. Carmeli , T. Heinonen , A. Toigo

In this paper, we discuss some of the consequences of the CGPM (1983) definition of meter and, in particular, we discuss giving the speed of light an exact value. It is shown that this act touches the fundamental paradigms, such as the…

History and Philosophy of Physics · Physics 2016-06-15 J J Mares , P Hubik , V Spicka , J Stavek , J Sestak , J Kristofik

The near vanishing of the cosmological constant is one of the most puzzling open problems in theoretical physics. We consider a system, the so-called framid, that features a technically similar problem. Its stress-energy tensor has a…

High Energy Physics - Theory · Physics 2021-05-12 Ioanna Kourkoulou , Alberto Nicolis , Guanhao Sun

The light speed anisotropy, i.e., the variation of the light speed with respect to the direction in an "absolute" reference frame, is a profound issue in physics. The one-way experiment, performed at the GRAAL facility of the European…

High Energy Physics - Phenomenology · Physics 2013-09-04 Zhou Lingli , Bo-Qiang Ma

At any time, there are areas of science where we are standing at the frontier of knowledge, and can wonder whether we have reached a fundamental limit to human understanding. What is ultimately possible in physics? I will argue here that it…

Popular Physics · Physics 2010-01-21 Sabine Hossenfelder

Within the framework of modified Newtonian gravity it is shown that the corrected Newtonian scheme can't explain both Mercury's perihelion advance and the bending of light at the same time.

History and Philosophy of Physics · Physics 2016-09-03 Attilio Palatini

Gravitation lensing calculations, which are generally done for light ray, are extended to that for a massive particle. Many interesting results were observed. We discuss the scattering cross section along-with many consequential quantities…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikhil J. Joshi

In this pedestrian approach I give my personal point of view on the various problems posed by dark matter in the universe. After a brief historical overview I discuss the various solutions stemming from high energy particle physics, and the…

Popular Physics · Physics 2021-01-26 Jean-Pierre Luminet

Phenomenological and formal restrictions on the evolution of pure into mixed states are discussed. In particular, it is argued that, if energy is conserved, loss of purity is incompatible with the weakest possible form of Lorentz…

High Energy Physics - Theory · Physics 2009-10-22 Mark Srednicki

Relativistic treatment of the finite speed of light correction in absolute gravimeters, as evolved by Rothleitner and Francis in Metrologia 2011, 48 442-445, following the initial publication in Metrologia 2011, 48 187-195, leads to…

Instrumentation and Detectors · Physics 2012-05-24 V D Nagornyi , Y M Zanimonskiy , Y Y Zanimonskiy
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