Torsion Gravity And Spinors In Fundamental Theoretical Physics

Author : Luca Fabbri
Publisher : Mdpi AG
ISBN 13 : 9783036579832
Total Pages : 0 pages
Book Rating : 4.34/5 ( download)

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Download or read book Torsion-Gravity and Spinors in Fundamental Theoretical Physics written by Luca Fabbri and published by Mdpi AG. This book was released on 2023-06-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's theory of gravitation is perhaps one of the best-established theories ever conceived. However, it is based on the hypothesis that space-time carries curvature alone, leaving torsion out. Because torsion is a natural part of the most general geometric background in which Einstein gravity is built, it is all too natural that the torsional completion of gravity should be considered. Constructing an underlying stage in which both curvature and torsion are present, the fact that curvature couples with energy suggests that torsion may couple with spin, which is the other conserved quantity in quantum field theory. Torsion-gravity with spinning matter is, therefore, a complete and self-consistent setting for modern physics, with potential applications wherever spin effects may be important, stretching from quantum mechanics to the standard models of particle physics and early cosmology. However, this fact is not as present in today's literature as it might be. The scope of the present collection of papers is to consolidate the wisdom of various experts in the field so as to clarify the present status of torsion in gravity and spin in quantum field theory.

Author : Venzo De Sabbata
Publisher : World Scientific
ISBN 13 : 9789810217662
Total Pages : 336 pages
Book Rating : 4.68/5 ( download)

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Download or read book Spin and Torsion in Gravitation written by Venzo De Sabbata and published by World Scientific. This book was released on 1994 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of both the old and new results of spin and torsion effects on gravitational interactions with implications for particle physics, cosmology etc. Physical aspects are stressed and measurable effects in relation to other areas of physics are discussed.Among the topics discussed are: alternative ways of unifying gravity with electroweak and strong interactions by an energy dependent spin torsion coupling constant; the idea that all interactions can be understood as originating from spin curvature coupling; the possibility of cosmological models with torsion providing a solution to the cosmological constant problem; and a demonstration that torsion can lead directly to the quantization of space-time itself.

Author : Peter G. Bergmann
Publisher : Springer
ISBN 13 : 9781461331254
Total Pages : 519 pages
Book Rating : 4.50/5 ( download)

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Download or read book Cosmology and Gravitation written by Peter G. Bergmann and published by Springer. This book was released on 2012-12-11 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the Sixth Course of the International School of Cosmology and Gravitation of the "Ettore Maj orana" Centre for Scientific Cul­ ture we choose as the principal topics torsion and supergravity, because in our opinion it is one of the principal tasks of today's theoretical physics to attempt to link together the theory of ele­ mentary particles and general relativity. Our aim was to delineate the present status of the principal efforts directed toward this end, and to explore possible directions of work in the near future. Efforts to incorporate spin as a dynamic variable into the foundations of the theory of gravitation were poineered by E. Cartan, whose contributions to this problem go back half a century. Accord­ ing to A. Trautman this so-called Einstein-Cartan theory is the sim­ plest and most natural modification of Einstein's 1916 theory. F. Hehl has contributed a very detailed and comprehensive analysis of this topic, original view of non-Riemannian space-time. Characteristic of Einstein-Cartan theories is the enrichment of Riemannian geometry by torsion, the non-symmetric part of the otherwise metric-compatible affine connection. Torsion has a impact on the theory of elementary particles. According to V. de Sabbata, weak interactions can be based on the Einstein-Cartan geometry, in that the Lagrangian describing weak interactions and torsion inter-­ action possess analogous structures, leading to a unification of weak and gravitational forces.

Author : Venzo De Sabbata
Publisher : World Scientific
ISBN 13 : 9814544922
Total Pages : 274 pages
Book Rating : 4.24/5 ( download)

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Download or read book Spin In Gravity - Is It Possible To Give An Experimental Basis To Torsion? written by Venzo De Sabbata and published by World Scientific. This book was released on 1998-07-08 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of spin is believed to be a necessary tool if one wishes to quantize general relativity. Then the main problem is to see if the introduction of spin generalizing the general relativity from a geometric point of view, i.e. through the concept of torsion, can be experimentally verified.The reader can find in this book both theoretical and experimental arguments which show the necessity for the introduction of spin, and then of torsion, in gravity. In fact, torsion constitutes the more natural and simple way to introduce spin in general relativity. For that reason it is of fundamental importance to see if there are some experiences that indicate — if not directly, then at least indirectly — the presence of torsion. This book presents a discussion on experiments with a polarized-mass torsion pendulum, the search for galactic dark matter interacting with a spin pendulum, a description of a space-based method for determination of the gravitational constant and space-based measurements of spin in gravity, as well as a discussion on theoretical arguments, for instance the nature of torsion and nonmetricity, the viability of gravitational theories with spin-torsion and spin-spin interaction, many-dimensional gravitational theories with torsion, spinors on curved spaces, the spinors in real space-time, etc.We know that until now there has been no evidence for torsion, but this fact cannot prevent us from considering in some detail this implement of research that seems to be important from both a geometrical and a physical point of view.

Author : Peter Gabriel Bergmann
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810234591
Total Pages : 255 pages
Book Rating : 4.97/5 ( download)

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Download or read book Spin in Gravity written by Peter Gabriel Bergmann and published by World Scientific Publishing Company Incorporated. This book was released on 1998 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of spin is believed to be a necessary tool if one wishes to quantize general relativity. Then the main problem is to see if the introduction of spin generalizing the general relativity from a geometric point of view, i.e. through the concept of torsion, can be experimentally verified. The reader can find in this book both theoretical and experimental arguments which show the necessity for the introduction of spin, and then of torsion, in gravity. In fact, torsion constitutes the more natural and simple way to introduce spin in general relativity. For that reason it is of fundamental importance to see if there are some experiences that indicate -- if not directly, then at least indirectly -- the presence of torsion. This book presents a discussion on experiments with a polarized-mass torsion pendulum, the search for galactic dark matter interacting with a spin pendulum, a description of a space-based method for determination of the gravitational constant and space-based measurements of spin in gravity, as well as a discussion on theoretical arguments, for instance the nature of torsion and nonmetricity, the viability of gravitational theories with spin -- torsion and spin-spin interaction, many-dimensional gravitational theories with torsion, spinors on curved spaces, the spinors in real space -- time, etc. We know that until now there has been no evidence for torsion, but this fact cannot prevent us from considering in some detail this implement of research that seems to be important from both a geometrical and a physical point of view.

Author : Gaetano Lambiase
Publisher : Springer Nature
ISBN 13 : 3030847713
Total Pages : 201 pages
Book Rating : 4.15/5 ( download)

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Download or read book The Interaction of Spin with Gravity in Particle Physics written by Gaetano Lambiase and published by Springer Nature. This book was released on 2021-09-27 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to present a new way of thinking about the interaction of gravitational fields with quantum systems. Despite the massive amounts of research and experimentation, the myriad meetings, seminars and conferences, all of the articles, treatises and books, and the seemingly endless theorization, quantization and just plain speculation that have been engaged in regarding our evolving understanding of the quantum world, that world remains an enigma, even to the experts. The usefulness of general relativity in this regard has proven to be imperfect at best, but there is a new approach. We do not simply have to accept the limitations of Einstein's most celebrated theorem in regard to quantum theory; we can also embrace them, and thereby utilize them, to reveal new facts about the behavior of quantum systems within inertial and gravitational fields, and therefore about the very structure of space–time at the quantum level. By taking existing knowledge of the essential functionality of spin (along with the careful identification of the omnipresent inertial effects) and applying it to the quantum world, the book gives the reader a much clearer picture of the difference between the classical and quantum behaviors of a particle, shows that Einstein's ideas may not be as incompatible within this realm as many have come to believe, sparks new revelations of the way in which gravity affects quantum systems and brings a new level of efficiency—quantum efficiency, if you will—to the study of gravitational theory.

Author : Venzo de Sabbata
Publisher : CRC Press
ISBN 13 : 1584887737
Total Pages : 186 pages
Book Rating : 4.37/5 ( download)

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Download or read book Geometric Algebra and Applications to Physics written by Venzo de Sabbata and published by CRC Press. This book was released on 2006-12-07 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and Applications to Physics not only presents geometric algebra as a discipline within mathematical physics, but the book also shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. This

Author : Steffen Gielen
Publisher : MDPI
ISBN 13 : 3039361783
Total Pages : 338 pages
Book Rating : 4.86/5 ( download)

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Download or read book Progress in Group Field Theory and Related Quantum Gravity Formalisms written by Steffen Gielen and published by MDPI. This book was released on 2020-07-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.

Author : Maurizio Gasperini
Publisher : Springer
ISBN 13 : 3319496824
Total Pages : 373 pages
Book Rating : 4.25/5 ( download)

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Download or read book Theory of Gravitational Interactions written by Maurizio Gasperini and published by Springer. This book was released on 2016-11-25 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a well-received book that is a modern, self-contained introduction to the theory of gravitational interactions. The new edition includes more details on gravitational waves of cosmological origin, the so-called brane world scenario, and gravitational time-delay effects.The first part of the book follows the traditional presentation of general relativity as a geometric theory of the macroscopic gravitational field, while the second, more advanced part discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap within the traditional approach to general relativity which usually leaves students puzzled about the role of gravity. The required notions of differential geometry are reduced to the minimum, allowing room for aspects of gravitational physics of current phenomenological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric and higher-dimensional generalization of the Einstein equations. This textbook is primarily intended for students pursuing a theoretical or astroparticle curriculum but is also relevant for PhD students and young researchers.

Author : Vladimir Arkadʹevich Zhelnorovich
Publisher :
ISBN 13 : 9783030278373
Total Pages : pages
Book Rating : 4.79/5 ( download)

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Download or read book Theory of Spinors and Its Application in Physics and Mechanics written by Vladimir Arkadʹevich Zhelnorovich and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein-Dirac equations, nonlinear Heisenbergs spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties.