Local Mathematics For Local Physics From Number Scaling To Guage Theory And Cosmology

Author : Paul Benioff
Publisher : World Scientific Publishing Europe Limited
ISBN 13 : 9781800614963
Total Pages : 0 pages
Book Rating : 4.69/5 ( download)

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Download or read book Local Mathematics for Local Physics: From Number Scaling to Guage Theory and Cosmology written by Paul Benioff and published by World Scientific Publishing Europe Limited. This book was released on 2023-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The language of the universe is mathematics, but how exactly do you know that all parts of the universe 'speak' the same language? Benioff builds on the idea that the entity that gives substance to both mathematics and physics is the fundamental field, called the 'value field'. While exploring this idea, he notices the similarities that the value field shares with several mysterious phenomena in modern physics: the Higgs field, and dark energy.The author first introduces the concept of the value field and uses it to reformulate the basic framework of number theory, calculus, and vector spaces and bundles. The book moves on to find applications to classical field theory, quantum mechanics and gauge theory. The last two chapters address the relationship between theory and experiment, and the possible physical consequences of both the existence and non-existence of the value field. The book is open-ended, and the list of open questions is certainly longer than the set of proposed answers.Paul Benioff, a pioneer in the field of quantum computing and the author of the first quantum-mechanical description of the Turing machine, devoted the last few years of his life to developing a universal description in which mathematics and physics would be on equal footing. He died on March 29, 2022, his work nearly finished. The final editing was undertaken by Marek Czachor who, in the editorial afterword, attempts to place the author's work in the context of a shift in the scientific paradigm looming on the horizon.

Author : Paul Benioff
Publisher : World Scientific
ISBN 13 : 1800614985
Total Pages : 296 pages
Book Rating : 4.87/5 ( download)

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Download or read book Local Mathematics For Local Physics: From Number Scaling To Guage Theory And Cosmology written by Paul Benioff and published by World Scientific. This book was released on 2024-01-19 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The language of the universe is mathematics, but how exactly do you know that all parts of the universe 'speak' the same language? Benioff builds on the idea that the entity that gives substance to both mathematics and physics is the fundamental field, called the 'value field'. While exploring this idea, he notices the similarities that the value field shares with several mysterious phenomena in modern physics: the Higgs field, and dark energy.The author first introduces the concept of the value field and uses it to reformulate the basic framework of number theory, calculus, and vector spaces and bundles. The book moves on to find applications to classical field theory, quantum mechanics and gauge theory. The last two chapters address the relationship between theory and experiment, and the possible physical consequences of both the existence and non-existence of the value field. The book is open-ended, and the list of open questions is certainly longer than the set of proposed answers.Paul Benioff, a pioneer in the field of quantum computing and the author of the first quantum-mechanical description of the Turing machine, devoted the last few years of his life to developing a universal description in which mathematics and physics would be on equal footing. He died on March 29, 2022, his work nearly finished. The final editing was undertaken by Marek Czachor who, in the editorial afterword, attempts to place the author's work in the context of a shift in the scientific paradigm looming on the horizon.

Author : S. Roy
Publisher : Springer Science & Business Media
ISBN 13 : 9401152306
Total Pages : 262 pages
Book Rating : 4.03/5 ( download)

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Download or read book Statistical Geometry and Applications to Microphysics and Cosmology written by S. Roy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results from high-energy scattering and theoretical developments of string theory require a change in our understanding of the basic structure of space-time. This book is about the advancement of ideas on the stochastic nature of space-time from the 1930s onward. In particular, the author promotes the concept of space as a set of hazy lumps, first introduced by Karl Menger, and constructs a novel framework for statistical behaviour at the microlevel. The various chapters address topics such as space-time fluctuation and random potential, non-local fields, and the origin of stochasticity. Implications in astro-particle physics and cosmology are also explored. Audience: This volume will be of interest to physicists, chemists and mathematicians involved in particle physics, astrophysics and cosmology.

Author : Romeo Brunetti
Publisher : Springer
ISBN 13 : 3319213539
Total Pages : 460 pages
Book Rating : 4.38/5 ( download)

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Download or read book Advances in Algebraic Quantum Field Theory written by Romeo Brunetti and published by Springer. This book was released on 2015-09-04 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Author : Bertfried Fauser
Publisher : Springer Science & Business Media
ISBN 13 : 376438736X
Total Pages : 436 pages
Book Rating : 4.65/5 ( download)

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Download or read book Quantum Field Theory written by Bertfried Fauser and published by Springer Science & Business Media. This book was released on 2009-06-02 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume emerged from the 3rd `Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics.

Author :
Publisher :
ISBN 13 :
Total Pages : 1288 pages
Book Rating : 4.70/5 ( download)

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Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 1288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Rainer Kotthaus
Publisher : Springer Science & Business Media
ISBN 13 : 3642741363
Total Pages : 1634 pages
Book Rating : 4.64/5 ( download)

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Download or read book International Conference on High Energy Physics/ International Union of Pure and Applied Physics, 24. 1988, München written by Rainer Kotthaus and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This was the most recent in a highly esteemed series of biannual Rochester conferences. 20 invited reviews and about 200 invited contributions on all aspects of current research in high energy and particle physics give a complete and lively account of achievements, activities and goals in the field. Topics discussed include results from proton-antiproton and electron-positron colliders, spectroscopy and decays of heavy flavors, weak mixing and CP violation, non-accelerator particle physics, heavy ion collisions, future accelerators, detector developments, the standard electroweak model and beyond, the status of perturbative QCD, superstrings and unification, new developments in field theory, non-perturbative methods, and cosmology and astrophysics.

Author : Andreas Wipf
Publisher : Springer Nature
ISBN 13 : 3030832635
Total Pages : 568 pages
Book Rating : 4.36/5 ( download)

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Download or read book Statistical Approach to Quantum Field Theory written by Andreas Wipf and published by Springer Nature. This book was released on 2021-10-25 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.

Author : W.G. Tifft
Publisher : Springer Science & Business Media
ISBN 13 : 940115628X
Total Pages : 382 pages
Book Rating : 4.88/5 ( download)

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Download or read book Modern Mathematical Models of Time and their Applications to Physics and Cosmology written by W.G. Tifft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of time has long puzzled physicists and philosophers. Time potentially has very fundamental yet unknown properties. In 1993 a new model of multi-dimensional time was found to relate closely to properties of the cosmological redshift. An international conference was subsequently convened in April 1996 to examine past, current and new concepts of time as they relate to physics and cosmology. These proceedings incorporate 34 reviews and contributed papers from the conference. The major reviews include observational properties of the redshift, alternative cosmologies, critical problems in cosmology, alternative viewpoints and problems in gravitation theory and particle physics, and new approaches to mathematical models of time. Professionals and students with an interest in cosmology and the structure of the universe will find that this book raises critical problems and explores challenging alternatives to classical viewpoints.

Author : Vladas Sidoravicius
Publisher : Springer
ISBN 13 : 9789401777711
Total Pages : 916 pages
Book Rating : 4.13/5 ( download)

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Download or read book New Trends in Mathematical Physics written by Vladas Sidoravicius and published by Springer. This book was released on 2016-05-01 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The XV-th International Congress on Mathematical Physics took place in Rio de Janeiro, on August 5 11, 2006. I believe it was a very successful and enjoyable meeting. It is very fortunate for our community that Latin America, and especially Brazil, in decades has become the place where all ?elds of intellectual activity which are traditionally regarded as part of Mathematical Physics are developing with steady pace and remarkable quality. Another important aspect of this devel- mentis thatbesidesareaswhichalreadyhaveworldwiderecognitionandlongsta- ing tradition in Brazil such as Dynamical Systems, Statistical Mechanics, Probab- ity Theory, etc., there is intensive growth in other directions such as String Theory and Algebraic Geometry. Brazil s major universities and research institutes such as IMPA and CBPF are successfully bringing up a new generation of researchers in our ?eld. Thus it was especially pleasant to see that among more than 500 participants of the Congress, the majority was constituted by young researchers and graduate students. Given the enormous range of subjects covered during the Congress, and the - versity of scienti?c contributions, it would be pointless to summarize the contents here the quality is re?ected in these pages. Traditionally, besides its very intense scienti?c program, the Congress was the occasion for the award of the Henri Poincare Prizes of the IAMP, sponsored by the Daniel Iagolnitzer Foundation. The Laureates for the year 2006 were Ludwig Faddeev, David Ruelle and Edward Witten."