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The subtitle of my talk is ``The quest for understanding the origin of neutrino masses''. After reviewing why the discovery of neutrino masses is also the discovery of New Physics, the substance of the talk details mechanisms for generating…

High Energy Physics - Phenomenology · Physics 2024-09-17 Raymond R. Volkas

We highlight four points which have been ignored or underestimated before and which allow a better understanding of "Sur la dynamique de l'electron": (i) the use by Poincare of active Lorentz transformations (boosts); (ii) the necessity,…

History and Philosophy of Physics · Physics 2010-01-26 Christian Bracco , Jean-Pierre Provost

The article provides a modest survey of the absolute theory of general systems of (partial) differential equations. The equations are relieved of all additional structures and subject to quite arbitrary change of the variables. An abstract…

Differential Geometry · Mathematics 2015-04-02 Veronika Chrastinova , Vaclav Tryhuk

This is the introduction I wrote for the multi-authored book "From Riemann to differential geometry and relativity", edited by L. Ji, A. Papadopoulos and S. Yamada (Berlin, Springer verlag, 2017). The book consists of twenty chapters,…

History and Overview · Mathematics 2017-09-04 Athanase Papadopoulos

This article presents an overview of neutrino physics research, with highlights on the physics goals, results and interpretations of the current neutrino experiments and future directions and program. It is not meant to be a comprehensive…

High Energy Physics - Experiment · Physics 2007-05-23 Henry Tsz-King Wong

The seminal paper on the meaning of the vector potential by E. J. Konopinski is revisited. The full significance of this work has not been generally recognized to date. We first briefly review Konopinski's findings and show that many of his…

Classical Physics · Physics 2011-03-28 Paul J Cote , Mark A. Johnson

These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new…

Quantum Algebra · Mathematics 2007-05-23 Michel Dubois-Violette

Neutrinos, and primarily neutrino oscillations, have undoubtedly been one of the most exciting topics in the field of high-energy physics over the past few years. The existence of neutrino oscillations would require an extension of the…

High Energy Physics - Experiment · Physics 2009-12-08 A. De Santo

In this article we show that Einstein covariance principle provides a wide opportunity in the solutions of different problems of theoretical physics. Here we apply covariance principle in some problems of classical electrodynamics and…

Mathematical Physics · Physics 2007-05-23 V. M. Mekhitarian , V. E. Mkrtchian

To mark the 111th birthday of Eugene Wigner, we review topological excitations in diverse dimensions.

Strongly Correlated Electrons · Physics 2015-06-19 R. Jackiw

We consider "unphysical", kinematic observables that do not commute with the constraints of a gauge system in the context of an extension of the system. We show that these observables, while not predictable, can nevertheless be said to have…

General Relativity and Quantum Cosmology · Physics 2008-12-04 Frank Hellmann

A consistent variational derivation of the Majorana 4-spinor field equations coupled to Einstein's theory of gravitation is given. The equivalence of the first and the second order variational field equations is explicitly demonstrated. The…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Tekin Dereli , Yorgo Senikoglu

We establish that forces mediated by the exchange of a pair of Majorana neutrinos differ from those due to Dirac neutrino exchange.

High Energy Physics - Phenomenology · Physics 2009-10-28 J. A. Grifols , E. Masso , R. Toldra

An outline of J\"org Eschmeier's main mathematical contributions is organized both on a historical perspective, as well as on a few distinct topics. The reader can grasp from our essay the dynamics of spectral theory of commutative tuples…

History and Overview · Mathematics 2022-08-01 Ernst Albrecht , Raúl E. Curto , Michael Hartz , Mihai Putinar

Some thoughts are presented on the inter-relation between beauty and truth in science in general and theoretical physics in particular. Some conjectural procedures that can be used to create new ideas, concepts and results are illustrated…

Statistical Mechanics · Physics 2009-11-10 Constantino Tsallis

Existing data on neutrino-electron scattering do not imply that neutrinos are not Majorana particles. The question of whether neutrinos are of Majorana or of Dirac character remains completely open.

High Energy Physics - Phenomenology · Physics 2007-05-23 Boris Kayser

It was recently claimed that the observed physical neutrinos cannot be of Majorana type because such particles lack vector interactions. Contrary to this claim we show that if the Majorana neutrino is massless it is indistinguishable from…

High Energy Physics - Phenomenology · Physics 2007-05-23 Steen Hannestad

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

These are the essence of two lectures given at the Ettore Majorana Summer School, 1997, and the discussion sections which followed them. The title indicates their content: some reasoned expectations for physics beyond the Standard Model,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Frank Wilczek

The present work is a brief review of the recent development in the relativistic quantum mechanics in the $(1/2)\oplus (0,1/2)$ representation space. It can be useful for graduate students in particle physics and quantum field theory.

General Physics · Physics 2011-07-19 Valeri V. Dvoeglazov