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By defining combinatorial moves, we can define an equivalence relation on Gauss words called homotopy. In this paper we define a homotopy invariant of Gauss words. We use this to show that there exist Gauss words that are not homotopically…

Geometric Topology · Mathematics 2009-05-11 Andrew Gibson

The equivalence principle of gravity is examined at the quantum level using the diffraction in time of matter waves in two ways. First, we consider a quasi-monochromatic beam of particles incident on a shutter which is removed at time $t =…

Quantum Physics · Physics 2022-07-12 Juan A. Cañas , J. Bernal , A. Martín-Ruiz

We compute the Higgs mass in a model for the electroweak interactions based on a confining theory. This model is related to the standard model by the complementarity principle. A dynamical effect due to the large typical scale of the Higgs…

High Energy Physics - Phenomenology · Physics 2014-11-17 Xavier Calmet , Harald Fritzsch

A new theory makes testable predictions: (1) Higgs fields have an unconventional equation of motion. (2) Fermions have a second-order coupling to gauge fields. (3) Fermion propagators are modified at high energy. (4) There are new scalar…

High Energy Physics - Phenomenology · Physics 2007-05-23 Roland E. Allen

Based on an Invited Plenary Talk given at ``Workshop on Physics and Experiments with Linear $e^+e^-$ Colliders,'' Waikoloa, Hawaii, April 26--30, 1993. This paper reviews theoretical issues concerning the structure of vector bosons, with…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. B. Einhorn

A universal inequality that bounds the angular momentum of a body by the square of its size is presented and heuristic physical arguments are given to support it. We prove a version of this inequality, as consequence of Einstein equations,…

General Relativity and Quantum Cosmology · Physics 2014-02-05 Sergio Dain

This paper deals with the comparison of two common types of equivalence groups of differential equations, and this gives rise to a number of results presented in the form of theorems. It is shown in particular that one type can be…

Differential Geometry · Mathematics 2011-10-28 J. C. Ndogmo

The Hamiltonian description of classical gauge theories is a very well studied subject. The two best known approaches, namely the covariant and canonical Hamiltonian formalisms have received a lot of attention in the literature. However, a…

High Energy Physics - Theory · Physics 2024-02-01 Alejandro Corichi , Juan D. Reyes , Tatjana Vukasinac

Inspired by the Goldstone equivalence gauge, we study the thermal corrections to an originally massive vector boson by checking the poles and branch cuts. We find that part of the Goldstone boson is spewed out from the longitudinal…

High Energy Physics - Phenomenology · Physics 2020-12-02 Yi-Lei Tang

Scalar tops in the supersymmetric model affect the potential of the standard model-like Higgs at the quatum level. In light of the equivalence theorem, the deviation of the potential from the standard model can be traced by longitudinal…

High Energy Physics - Phenomenology · Physics 2017-07-19 Koji Ishiwata , Yuki Yonekura

Gravitation is the common underlying texture between General Relativity and Quantum Mechanics. We take gravitation as the link that can make possible the marriage between these two sciences. We use here the duality of Nature for…

General Physics · Physics 2008-11-26 Antonio Alfonso-Faus

The $W$-boson pair production in $e^-e^-$ collisions with polarized beams is investigated. The helicity amplitudes are derived for general couplings and the conditions for a good high-energy behaviour of the cross-section are given. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 Paavo Helde , Katri Huitu , Jukka Maalampi , Martti Raidal

The Gibbs Paradox is essentially a set of open questions as to how sameness of gases or fluids (or masses, more generally) are to be treated in thermodynamics and statistical mechanics. They have a variety of answers, some restricted to…

History and Philosophy of Physics · Physics 2018-08-07 Simon Saunders

We consider the empirical validity of the equivalence principle for non-baryonic matter. Working in the context of the TH\epsilon\mu formalism, we evaluate the constraints experiments place on parameters associated with violation of the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 C. Alvarez , R. B. Mann

In this paper, we study the correlation between the exceptional lie groups and El-Naschie's transfinite E-infinity spacetime theory. Subsequently this is used to calculate the number of elementary particles in the standard model, mass of…

General Physics · Physics 2008-11-26 Ayman A. El-Okaby

The one-Higgs-doublet standard model is necessarily incomplete because of the triviality of the scalar symmetry-breaking sector. If the Higgs mass is approximately 600 GeV or higher, there must be additional dynamics at a scale $\Lambda$…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Sekhar Chivukula , Vassillis Koulovassilopoulos

A mechanism is presented through which very light scalar degrees of freedom obeying the nonlinear sigma model equation can emerge in spontaneously broken gauge theories. The mechanism operates in extra dimensional theories in which a) there…

High Energy Physics - Phenomenology · Physics 2016-09-01 Neil Turok

The Einstein Equivalence Principle has as one of its implications that the non-gravitational laws of physics are those of special relativity in any local freely-falling frame. We consider possible tests of this hypothesis for systems whose…

General Relativity and Quantum Cosmology · Physics 2016-08-31 C. Alvarez , R. B. Mann

Birkhoff's theorem is one of the most important statements of Einstein's general relativity, which generally can not be extended to modified theories of gravity. Here we study the validity of the theorem in scalar-tensor theories using a…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Salvatore Capozziello , Diego Sáez-Gómez

We consider an unexplored aspect of the mass equivalence principle in the quantum realm, its connection with atomic stability. We show that if the gravitational mass were different from the inertial one, a Hydrogen atom placed in a constant…

Quantum Physics · Physics 2020-01-08 Pedro Sancho