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Why would anyone wish to generalize the already unappetizing subject of rigid body motion to an arbitrary number of dimensions? At first sight, the subject seems to be both repellent and superfluous. The author will try to argue that an…

Classical Physics · Physics 2015-03-26 Francois Leyvraz

This manuscript presents a problem on special relativity theory (SRT) which embodies an apparent paradox relying on the concept of simultaneity. The problem is represented in the framework of Greek epic poetry and structured in a didactic…

History and Philosophy of Physics · Physics 2013-10-25 Fabrice Leardini

The area of research called \textquotedblleft Lineability\textquotedblright% \ looks for linear structures inside exotic subsets of vector spaces. In the last decade lineability/spaceability has been investigated in rather general settings;…

Functional Analysis · Mathematics 2018-09-10 Vinícius Fávaro , Daniel Pellegrino , Daniel Tomaz

The paper is based on the recently proposed 4-dimensional optical space theory and draws some of its consequences for gravitation. Starting with the discussion of central movement, the paper proceeds to establish the a metric compatible…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

The paper presents a relativistic space-time diagram, which displays in true values the space (Cartesian and polar) and the time coordinates of the same event detected from two inertial reference frames in relative motion related by the…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Corina Nafornita

Many of the general-relativity-tests such as bending of light near a star and gravitational red/blue shift are explained without general-relativity and without Newtonian-approach. The author first casts doubts on both, the Newtonian and the…

General Physics · Physics 2007-05-23 Dr. R. C. Gupta

It is proposed that the propagation of light in disordered photonic lattices can be harnessed as a random projection that preserves distances between a set of projected vectors. This mapping is enabled by the complex evolution matrix of a…

Optics · Physics 2021-10-01 Mohammad-Ali Miri

We consider the general form of the linear transformation for point rotation coordinate frames. The frames have the rotation axis at every point. In the transformation the frequency of one frame relative to another is not equivalent to the…

Optics · Physics 2007-05-23 Boris V. Gisin

We consider the unrestricted problem of two mutually attracting rigid bodies, an uniform sphere (or a point mass) and an axially symmetric body. We present a global, geometric approach for finding all relative equilibria (stationary…

Earth and Planetary Astrophysics · Physics 2015-05-14 Mikhail Vereshchagin , Andrzej J. Maciejewski , Krzysztof Gozdziewski

The general relativistic non--linear dynamics of a self--gravitating collisionless fluid with vanishing vorticity is studied in synchronous and comoving -- i.e. {\em Lagrangian} -- coordinates. Writing the equations in terms of the metric…

Astrophysics · Physics 2007-05-23 Sabino Matarrese

Simple signal-propagation effects make receding objects seem contracted and approaching objects seem elongated. These effects are theoretically photographable, and are proportional in strength to the frequency-change in the object's emitted…

Physics Education · Physics 2007-05-23 Eric Baird

Five topics: A rigid body does not exist in the special theory of relativity; distant simultaneity defined with respect to a given frame of reference without any reference to synchronized clocks; challenges on Einstein's connection of…

History and Philosophy of Physics · Physics 2012-05-02 Galina Weinstein

General relativity can be formally derived as a flat spacetime theory, but the consistency of the resulting curved metric's light cone with the flat metric's null cone has not been adequately considered. If the two are inconsistent, then…

General Relativity and Quantum Cosmology · Physics 2016-08-31 J. Brian Pitts , W. C. Schieve

I propose a general class of space-times whose structure is governed by observer-independent scales of both velocity ($c$) and length (Planck length), and I observe that these space-times can naturally host a modification of…

High Energy Physics - Theory · Physics 2009-10-31 Giovanni Amelino-Camelia

In special relativity, testing for spatial anisotropy usually means testing for anisotropic propagation of light. This paper explores a different possibility, in which light is still assumed to propagate isotropically in all frames with an…

Classical Physics · Physics 2011-11-21 Alon Drory

The observation of light super-partners from a supersymmetric extension to the Standard Model is an intensely sought-after experimental outcome, providing an explanation for the stabilization of the electroweak scale and indicating the…

High Energy Physics - Phenomenology · Physics 2017-03-01 Paul Jackson , Christopher Rogan , Marco Santoni

A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial…

Statistical Mechanics · Physics 2025-01-06 Hiroki Ohta , Shin-ichi Sasa

Symmetry breaking is discussed in this paper which comes from the Lorentz transformation of special relativity and changes our view that two relatively moving bodies always have the relative speed equal in magnitude and opposite in…

General Physics · Physics 2007-05-23 Bin-Guang Ma

As a basis for epistemological study of ``time,'' we analyze three suspect phenomena introduced by modern physics: non-locality, asymmetric aging and advanced interaction. It is shown that all three arise in connection with what has to be…

Quantum Physics · Physics 2007-05-23 A. F. Kracklauer

In this short presentation, we address two somewhat separate issues. The first one deals with the establishment (vs discovery) of what we call "physical laws". The discussion runs on a "successive approximations" approach, suited to our own…

Popular Physics · Physics 2016-05-10 Jean-Marie Frère
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