Papers by Joseph Kouneiher
arXiv (Cornell University), Dec 30, 2022
The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order ... more The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De Donder-Weyl covariant Hamiltonian formalism and the corresponding polysymplectic reduction.
In the most recent reviews of quantum gravity it is acknowledged that there is as yet no successf... more In the most recent reviews of quantum gravity it is acknowledged that there is as yet no successful and generally accepted framework for this discipline, despite the multitude of schemes for quantizing gravity that have been proposed since 1949. These schemes exhibit a remarkable variety of formally distinctive features, but epistemologically they all share one crucial feature: the problem of quantizing gravity is approached on purely formal grounds, as if it were a problem of mere mathematical technique which, once resolved, would automatically provide the solution to the plethora of foundational problems encountered by quantum general relativity. From a foundational perspective, however, the basic issues are not quite that simple. Our aim in this work is to reconsider the different attitudes and the thought processes involving in the quantum gravity subject from either epistemological and historical point of view. We show that the epistemological weakenesses of the conventional mode of thinking about these issues are well illustrated by the various treatements of the oldest scheme for quantizing gravity. We discuss the meaning of gravity, the quantum idea and the geometry behind. We analyse the geometric quantization program , we clarify the problems inherent in the two approaches of quantum gravity, the canonical and the covariant one. We review the limit of the application of general relativity and we inspect the question of observables, unitarity, causality and time in quantum gravity. Finally, we tried to elucidate the duality between general relativity and quantum mechanics.
International Journal of Geometric Methods in Modern Physics, Nov 29, 2022
The aim of this paper is to explore the conceptual and mathematical physics foundations of the wo... more The aim of this paper is to explore the conceptual and mathematical physics foundations of the work of Sir Roger Penrose. This is a transcript of an interview a that took place on 15 November 2021. a The text of the interview was enriched by complements and figures to illustrate the answers and the thought of Roger Penrose. They are taken from the excellent book The Road to Reality: A Complete Guide to the Laws of the Universe, Jonathan Cape, London [4, 7] others references. With courtesy of Sir Roger Penrose.
HAL (Le Centre pour la Communication Scientifique Directe), May 1, 2008
HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific re... more HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
L'espace physique entre mathématiques et philosophie
arXiv (Cornell University), Dec 30, 2022
The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order ... more The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De Donder-Weyl covariant Hamiltonian formalism and the corresponding polysymplectic reduction.
Reports in Advances of Physical Sciences, 2017
As long as there is freedom of research, there is the responsibility that comes with it In this p... more As long as there is freedom of research, there is the responsibility that comes with it In this paper, we want to trace back the actual changes concerning the relations between physics in particular and sciences in general with socio-economical and technological evolution of the societies. Our main idea is that those changes started with the Atomic Bomb project and the beginning of big sciences mostly and in some degree it is a legacy of the implication of some scientific Laboratories in the World War I and II.
Notices of the American Mathematical Society, 2019
The use of general descriptive names, registered names, trademarks, service marks, etc. in this p... more The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The Oxford Handbook of the History of Quantum Interpretations
Quantum mechanics is one of the two fundamental revolutions in physics in the twentieth century. ... more Quantum mechanics is one of the two fundamental revolutions in physics in the twentieth century. Quantum theory is the most predictively accurate theory in history. However, there remain many open foundational questions concerning the interpretation of quantum mechanics, the measurement of a quantum system probe and the notion of reality or belief among others. In this paper we discuss Bohm and Penrose’s work to deal with the foundational questions of “quantum physics” and the “nature of reality”. We present the essential bases of quantum mechanics that lead to the understanding of the quantum object, the notion of entanglement and Bell’s inequalities. The emphasis is first on geometric interpretations of quantum probabilities and Bell’s inequalities and then we take up the philosophical bases proposed by Bohm and Penrose which are inseparable from their thinking as a physicist and mathematical-physicist.
In 1938 long time before Dicks, Branes and Jordan work on scalar-tensor theory, Einstein and Berg... more In 1938 long time before Dicks, Branes and Jordan work on scalar-tensor theory, Einstein and Bergmann introduce the modern viewpoint in which a four-dimensional theory that coincides with Einstein-Maxwell theory at long distances is derived from a five dimensional theory with complete symmetry among all five dimensions. But then they drew back, modifying the theory in a way that spoiled the five-dimensional symmetry and looks contrived to modern readers. The reason was that the more symmetric version of the theory predicts the existence of a new long range field (a massless scalar field), a prediction which Einstein and Bergmann refuse to admit. We know today that, with their similar, but slightly different predictions for physical phenomena, scalar-tensor theories turned out to be the first significant challenge to Einstein’s theory in over forty years. But as it turned out, standard Einstein theory fared better in these tests than any of the alternatives. In consequence, in the 19...
Foundations of Physics Letters, 1993
The use of general descriptive names, registered names, trademarks, service marks, etc. in this p... more The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Cover photo: Archives of the Mathematisches Forschungsinstitut Oberwolfach
Foundations of Mathematics and Physics One Century After Hilbert, 2018
Highlights of the twenty-odd-year relationship between Einstein and Hilbert are reviewed. We trac... more Highlights of the twenty-odd-year relationship between Einstein and Hilbert are reviewed. We trace the relationship between the two men during this period in the form of encounters, each of which characterizes a particular aspect of their relationship. We begin with the encounter that never took place (1912) when Einstein declined Hilbert’s invitation to Gottingen; the fateful encounter (1915–1916) leading to a dispute over the final formulation of general relativity; The tragic-comic encounter (1928–29) over editorship of the Annalen der Mathematik leading to what Einstein called “The battle of the Frogs and Mice”; L’envoi (1932) Einstein’s final letter of congratulations to Hilbert on his 70th birthday.
Foundations of Mathematics and Physics One Century After Hilbert, 2018
In his work of 1918, Hermann Weyl extended the general theory of relativity, which Albert Einstei... more In his work of 1918, Hermann Weyl extended the general theory of relativity, which Albert Einstein had set forth in the years 1915–1916, to unify the two field phenomena known at this time, namely those described by electromagnetic and gravitational fields. But more was at stake. At the beginning of the paper in which Weyl worked out the mathematical foundations of the theory, he observed.
This paper was withdrawn by the author due to an edition's rights
We discuss in this paper the canonical structure of classical field theory in finite dimensions w... more We discuss in this paper the canonical structure of classical field theory in finite dimensions within the pataplectic Hamiltonian formulation, where we put forward the role of Legendre correspondance. We define the generalized Poisson p-brackets which are the analogues of the Poisson bracket on forms. We formulate the equations of motion of forms in terms of p-brackets. As illustration of our formalism we present three examples: the interacting scalar fields, conformal string theory and the electromagnetic field.
International Journal of Education, Culture and Society, 2017
An essential point of the learning and teaching environment today, is the need to pioneer a new a... more An essential point of the learning and teaching environment today, is the need to pioneer a new approaches which go beyond some "standard" theorizations of pedagogy. We know by experiences that the most successful solutions should not only engage the students and the teachers but some aspect of those approaches should build on the transformative potential of a digital age, as well as emerging insights into human behavior and the human brain. We must seek to set a standard for innovation in pedagogy and commit to its advance. In this paper we review some existing approaches to learning and we describe a new scientific pragmatic approach. This approach based on the real daily practice of scientific researchers (in Mathematics and Physics and not just a theoretical recipe) gives a new insights to learning methods and promotes the creative side of learning.
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Papers by Joseph Kouneiher