Cosmology Quantum Vacuum And Zeta Functions

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Cosmology Quantum Vacuum And Zeta Functions
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Author : Sergey D. Odintsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-10
Cosmology Quantum Vacuum And Zeta Functions written by Sergey D. Odintsov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-10 with Science categories.
Some major developments of physics in the last three decades are addressed by highly qualified specialists in different specific fields. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth of applications. A number of closely related issues are also considered. The cosmological applications of these theories play a crucial role and are at the very heart of the book; in particular, the possibility to explain in a unified way the whole history of the evolution of the Universe: from primordial inflation to the present day accelerated expansion. Further, a description of the mathematical background underlying many of the physical theories considered above is provided. This includes the uses of zeta functions in physics, as in the regularization problems in QFT already mentioned, specifically in curved space-time, and in Casimir problems as.
Cosmology Quantum Vacuum And Zeta Functions
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Author : Sergey D. Odintsov
language : en
Publisher: Springer
Release Date : 2011-08-26
Cosmology Quantum Vacuum And Zeta Functions written by Sergey D. Odintsov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Science categories.
Some major developments of physics in the last three decades are addressed by highly qualified specialists in different specific fields. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth of applications. A number of closely related issues are also considered. The cosmological applications of these theories play a crucial role and are at the very heart of the book; in particular, the possibility to explain in a unified way the whole history of the evolution of the Universe: from primordial inflation to the present day accelerated expansion. Further, a description of the mathematical background underlying many of the physical theories considered above is provided. This includes the uses of zeta functions in physics, as in the regularization problems in QFT already mentioned, specifically in curved space-time, and in Casimir problems as.
Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels
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Author : Davide Fermi
language : en
Publisher: World Scientific
Release Date : 2017-10-06
Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels written by Davide Fermi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-06 with Science categories.
Zeta regularization is a method to treat the divergent quantities appearing in several areas of mathematical physics and, in particular, in quantum field theory; it is based on the fascinating idea that a finite value can be ascribed to a formally divergent expression via analytic continuation with respect to a complex regulating parameter.This book provides a thorough overview of zeta regularization for the vacuum expectation values of the most relevant observables of a quantized, neutral scalar field in Minkowski spacetime; the field can be confined to a spatial domain, with suitable boundary conditions, and an external potential is possibly present. Zeta regularization is performed in this framework for both local and global observables, like the stress-energy tensor and the total energy; the analysis of their vacuum expectation values accounts for the Casimir physics of the system. The analytic continuation process required in this setting by zeta regularization is deeply linked to some integral kernels; these are determined by the fundamental elliptic operator appearing in the evolution equation for the quantum field. The book provides a systematic illustration of these connections, devised as a toolbox for explicit computations in specific configurations; many examples are presented. A comprehensive account is given of the existing literature on this subject, including the previous work of the authors.The book will be useful to anyone interested in a mathematically sound description of quantum vacuum effects, from graduate students to scientists working in this area.
2012
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Author :
language : en
Publisher: Walter de Gruyter
Release Date : 2013-03-01
2012 written by and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-01 with Reference categories.
Particularly in the humanities and social sciences, festschrifts are a popular forum for discussion. The IJBF provides quick and easy general access to these important resources for scholars and students. The festschrifts are located in state and regional libraries and their bibliographic details are recorded. Since 1983, more than 659,000 articles from more than 30,500 festschrifts, published between 1977 and 2011, have been catalogued.
Ten Physical Applications Of Spectral Zeta Functions
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Author : Emilio Elizalde
language : en
Publisher: Springer
Release Date : 2012-05-31
Ten Physical Applications Of Spectral Zeta Functions written by Emilio Elizalde and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-31 with Science categories.
Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.
Cosmological And Black Hole Apparent Horizons
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Author : Valerio Faraoni
language : en
Publisher: Springer
Release Date : 2015-07-01
Cosmological And Black Hole Apparent Horizons written by Valerio Faraoni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Science categories.
This book overviews the extensive literature on apparent cosmological and black hole horizons. In theoretical gravity, dynamical situations such as gravitational collapse, black hole evaporation, and black holes interacting with non-trivial environments, as well as the attempts to model gravitational waves occurring in highly dynamical astrophysical processes, require that the concept of event horizon be generalized. Inequivalent notions of horizon abound in the technical literature and are discussed in this manuscript. The book begins with a quick review of basic material in the first one and a half chapters, establishing a unified notation. Chapter 2 reminds the reader of the basic tools used in the analysis of horizons and reviews the various definitions of horizons appearing in the literature. Cosmological horizons are the playground in which one should take baby steps in understanding horizon physics. Chapter 3 analyzes cosmological horizons, their proposed thermodynamics, and several coordinate systems. The remaining chapters discuss analytical solutions of the field equations of General Relativity, scalar-tensor, and f(R) gravity which exhibit time-varying apparent horizons and horizons which appear and/or disappear in pairs. An extensive bibliography enriches the volume. The intended audience is master and PhD level students and researchers in theoretical physics with knowledge of standard gravity.
Thirteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg13 Meeting On General Relativity In 3 Volumes
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Author : Remo Ruffini
language : en
Publisher: World Scientific
Release Date : 2015-01-26
Thirteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg13 Meeting On General Relativity In 3 Volumes written by Remo Ruffini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-26 with Science categories.
The Marcel Grossmann Meetings seek to further the development of the foundations and applications of Einstein's general relativity by promoting theoretical understanding in the relevant fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. The meetings discuss recent developments in classical and quantum aspects of gravity, and in cosmology and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, having the main objective of gathering scientists from diverse backgrounds for deepening our understanding of spacetime structure and reviewing the current state of the art in the theory, observations and experiments pertinent to relativistic gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity, branes and strings, to more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG13 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 33 morning plenary talks during 6 days, and 75 parallel sessions over 4 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string/brane theories, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star and pulsar astrophysics. Volumes B and C include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, quasors, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, and cosmic rays and the history of general relativity.
Handbook Of Quantum Gravity
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Author : Cosimo Bambi
language : en
Publisher: Springer Nature
Release Date : 2024-12-03
Handbook Of Quantum Gravity written by Cosimo Bambi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with Science categories.
The search for a theory of quantum gravity is one of the most important and fascinating problems in modern theoretical physics. While we do not have yet a complete theory of quantum gravity, significant advancements have been done in the past decades. In this handbook, every section is dedicated to a specific approach towards a theory of quantum gravity and is edited by the leading experts in the field. This book represents both a valuable resource for graduate students and an important reference for researchers in quantum gravity.
From Newton Einstein To God
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Author : Leong Ying
language : en
Publisher: Greenleaf Book Group
Release Date : 2015-01-13
From Newton Einstein To God written by Leong Ying and has been published by Greenleaf Book Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-13 with Biography & Autobiography categories.
From Newton, Einstein to GOD is a poetic memoir that follows the amazing life of Leong Ying, beginning with his birth into poverty in 1961 in the former British colony of Singapore. After a short time, his family is able to make their way to England. There, as a child with prophetic abilities and a penchant for daydreaming, Ying turns away from his spirituality and toward the logic of science, ultimately earning a graduate degree in nuclear physics. Shortly thereafter, Ying immigrates to the United States and, for a time, chases what he sees as the declining American dream. In this new land, the duality of Ying’s life comes into focus, and he uses science—which he’d formerly applied to deny the existence of God—to reveal the “ultimate godly secrets.” In doing so, he discovers the Twin Universe, a grand cosmic cycle that will lead us into a new phase, one that will have a dramatic influence on the existence and evolution of humankind and our humanity to come. Through his unique writing style, Ying’s philosophy and ideas come vividly to life. Interspersed with photographs from his youth and adulthood, each page is a unique dance between words and images that will inspire and enlighten.
Fractal Zeta Universe And Cosmic Ray Charge Cloud Superfluid
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Author : Otto Ziep
language : en
Publisher: epubli
Release Date : 2024-11-19
Fractal Zeta Universe And Cosmic Ray Charge Cloud Superfluid written by Otto Ziep and has been published by epubli this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-19 with Computers categories.
The trilogy 'Nucleosynthesis in thin layers', 'Fractal zeta universe and cosmic-ray-charge- cloud superfluid', 'The sensitive balance' describes a fractal zeta universe as a new unified theory of strong, weak, electromagnetic, gravitational, and dark interaction. 'Fractal zeta universe and cosmic-ray-charge- cloud superfluid' relates nontrivial zeros of the e.g. Riemann zeta function to charges, atmospheric clouds and cosmic rays. An oscillating quadrupolar-like potential near zeta function zeros is predicted as a stability region for several phenomena like the quantum Hall conductivity plateau, gravitational waves, sources of creation of matter and a cosmic-ray-charge-cloud superfluid. The large number hypothesis is demonstrated by self-similarity between the Millikan experiment and cosmic-ray cloud seeding. A number-theoretic treatment to the iterated regulator index enables a Lovelock-like expansion into five fields and their coupling constants. 'Nucleosynthesis in thin layers' unifies computer algorithms like a Mandelbrot zoom with algorithms in algebra (iterated hyperelliptic and elliptic theta functions and invariants) and number theory. The presented definition of a bi spinor defines a quantum statistics norm as a bicubic norm. Unified forces are time-thermal rotatory motions of quadrupolar potentials as tidal and dissipation less exchange processes. Fractal zeta universe and cosmic-ray-charge-cloud superfluid introduces quantized charges as regions near simple zeros of zeta functions.