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Author: Ashay Dharwadker
Publisher: Institute of Mathematics
ISBN: 1466272317
Category : Mathematics
Languages : en
Pages : 132
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Book Description
We show that the mathematical proof of the four colour theorem directly implies the existence of the standard model together with quantum gravity in its physical interpretation. Conversely, the experimentally observable standard model and quantum gravity show that nature applies the mathematical proof of the four colour theorem at the most fundamental level. We preserve all the established working theories of physics: Quantum Mechanics, Special and General Relativity, Quantum Electrodynamics (QED), the Electroweak model and Quantum Chromodynamics (QCD). We build upon these theories, unifying all of them with Einstein's law of gravity. Quantum gravity is a direct and unavoidable consequence of the theory. The main construction of the Steiner system in the proof of the four colour theorem already defines the gravitational fields of all the particles of the standard model. Our first goal is to construct all the particles constituting the classic standard model, in exact agreement with 't Hooft's table. We are able to predict the exact mass of the Higgs particle and the CP violation and mixing angle of weak interactions. Our second goal is to construct the gauge groups and explicitly calculate the gauge coupling constants of the force fields. We show how the gauge groups are embedded in a sequence along the cosmological timeline in the grand unification. Finally, we calculate the mass ratios of the particles of the standard model. Thus, the mathematical proof of the four colour theorem shows that the grand unification of the standard model with quantum gravity is complete, and rules out the possibility of finding any other kinds of particles. We show how to calculate Einstein's cosmological constant using the grand unified theory. Using the topological properties of the gauge, we calculate the exact percentages of ordinary baryonic matter, dark matter and dark energy in the universe. These values are in perfect agreement with the seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations. Thus dark matter, dark energy and the cosmological constant are intrinsic properties of the gauge in the grand unified theory.
Author: Ashay Dharwadker
Publisher: Institute of Mathematics
ISBN: 1466272317
Category : Mathematics
Languages : en
Pages : 132
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Book Description
We show that the mathematical proof of the four colour theorem directly implies the existence of the standard model together with quantum gravity in its physical interpretation. Conversely, the experimentally observable standard model and quantum gravity show that nature applies the mathematical proof of the four colour theorem at the most fundamental level. We preserve all the established working theories of physics: Quantum Mechanics, Special and General Relativity, Quantum Electrodynamics (QED), the Electroweak model and Quantum Chromodynamics (QCD). We build upon these theories, unifying all of them with Einstein's law of gravity. Quantum gravity is a direct and unavoidable consequence of the theory. The main construction of the Steiner system in the proof of the four colour theorem already defines the gravitational fields of all the particles of the standard model. Our first goal is to construct all the particles constituting the classic standard model, in exact agreement with 't Hooft's table. We are able to predict the exact mass of the Higgs particle and the CP violation and mixing angle of weak interactions. Our second goal is to construct the gauge groups and explicitly calculate the gauge coupling constants of the force fields. We show how the gauge groups are embedded in a sequence along the cosmological timeline in the grand unification. Finally, we calculate the mass ratios of the particles of the standard model. Thus, the mathematical proof of the four colour theorem shows that the grand unification of the standard model with quantum gravity is complete, and rules out the possibility of finding any other kinds of particles. We show how to calculate Einstein's cosmological constant using the grand unified theory. Using the topological properties of the gauge, we calculate the exact percentages of ordinary baryonic matter, dark matter and dark energy in the universe. These values are in perfect agreement with the seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations. Thus dark matter, dark energy and the cosmological constant are intrinsic properties of the gauge in the grand unified theory.
Author: Stuart Raby
Publisher: Springer
ISBN: 3319552554
Category : Science
Languages : en
Pages : 426
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Book Description
These course-tested lectures provide a technical introduction to Supersymmetric Grand Unified Theories (SUSY GUTs), as well as a personal view on the topic by one of the pioneers in the field. While the Standard Model of Particle Physics is incredibly successful in describing the known universe it is, nevertheless, an incomplete theory with many free parameters and open issues. An elegant solution to all of these quandaries is the proposed theory of SUSY GUTs. In a GUT, quarks and leptons are related in a simple way by the unifying symmetry and their electric charges are quantized, further the relative strength of the strong, weak and electromagnetic forces are predicted. SUSY GUTs additionally provide a framework for understanding particle masses and offer candidates for dark matter. Finally, with the extension of SUSY GUTs to string theory, a quantum-mechanically consistent unification of the four known forces (including gravity) is obtained. The book is organized in three sections: the first section contains a brief introduction to the Standard Model, supersymmetry and the Minimal Supersymmetric Standard Model. Then SUSY GUTs in four space-time dimensions are introduced and reviewed. In addition, the cosmological issues concerning SUSY GUTs are discussed. Then the requirements for embedding a 4D SUSY GUT into higher-dimensional theories including gravity (i.e. String Theory) are investigated. Accordingly, section two of the course is devoted to discussing the so-called Orbifold GUTs and how in turn they solve some of the technical problems of 4D SUSY GUTs. Orbifold GUTs introduce a new set of open issues, which are then resolved in the third section in which it is shown how to embed Orbifold GUTs into the E(8) x E(8) Heterotic String in 10 space-time dimensions.
Author: Graham Ross
Publisher: Westview Press
ISBN: 9780805369687
Category : Science
Languages : en
Pages : 512
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Book Description
Grand Unified Theories introduces the application of gauge field theories to a unified description of the strong, electromagnetic, weak, and gravitational interactions. The phenomenological aspects of the work are emphasized and explicit calculations presented. Many of the aspects of current research, including technicolor models, supersymmetry and supergravity, and the cosmological implications of these theories, are discussed in this book.This book is suitable for graduate students with a background in quantum mechanics, and experimental and theoretical particle physicists who want to understand the grand unified theories.
Author: Cliche, Andre - 2012
Publisher: Cybair Publishing
ISBN:
Category :
Languages : en
Pages : 294
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Book Description
This book describes a conceptual unification of all known phenomena of the universe. Just like in Darwin's theory of evolution, overwhelming complexity is reduced to a basic concept of evolution through classical mechanics. No mysticism, no creationism, no math. Just plain common sense. Hundreds of color illustrations. 292 pages. Index. Learn more about this book on this website: https://sites.google.com/site/ultralightaircraft/home/grand-unification
Author: Antonio Masiero
Publisher: World Scientific Publishing Co Inc
ISBN: 9813104066
Category : Science
Languages : en
Pages : 434
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Book Description
This book covers the present status of art of grand unification with and without supersymmetry (gravity), including cosmological consequences. It is addressed to graduate students and researchers interested in this fastly developing field. But without necessarily any previous experience, however, at least some parts of the book and, in particular, those concerning the most recent developments, are of interest to actively involved researchers in the field.
Author: LEVEILLE
Publisher: Springer Science & Business Media
ISBN: 1461259908
Category : Science
Languages : en
Pages : 330
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Book Description
Recently there has been rapid progress towards understanding the separate theories of the strong, weak and electromagnetic inter actions within the framework of the standard SU(3) x SU(2) x U(l) model. The purpose of the Second Workshop on Grand Unification was to discuss the physics beyond the standard model and the major topic was grand unified theories which unify the strong, weak and electromagnetic sectors. Grand unified theories are presently being used to calculate experimentally accessible quantities such as the proton lifetime and nucleon decay branching ratios. Meanwhile, experiments are currently being performed, and new, dedicated experiments mounted, to measure these quantities. Reports on these experimental and theoretical activities occupied much of the workshop. Furthermore, since grand unified theories allow one to extrapolate the behavior of the universe back to the first instants after the big bang, their cosmological implications and the constraints on these theories from cosmology were of great interest at the workshop. The conference opened with a keynote address by S. L. Glashow in which he discussed among other topics baryon minus lepton number conservation, neutrino masses and a neutrino-free universe. To maximize the interplay between theorists and experimentalists, theoretical and experimental talks were interleaved. An experimental highlight of the workshop was the presentation by S. Miyake of three candidate events for proton decay.
Author: FRAMPTON
Publisher: Springer Science & Business Media
ISBN: 1468469037
Category : Science
Languages : en
Pages : 366
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Book Description
This workshop held at the New England Center provided a timely opportunity for over 100 participants to gather in a unique environment and discuss the present status of the unification of strong and electroweak forces. One reason for the timeliness was perhaps that experiments of the seventies had already lent confirmation to the separate theories of strong and of electroweak forces, so that for the eighties it now seems especially compelling to attempt the grand unification of these two forces. Also, the planned experiments to search for proton decay and the new experiments which are suggestive, though not yet conclusive, of non-zero neutrino rest masses add further stimulus to the theory. Thus, the workshop provided an ideal forum for exchange of ideas amongst active physicists. The presentations at the workshop covered the present status of both theory and experiment with a strong interplay. Also, there were presentations from the discipline of astrophysics which is becoming very intertwined with that of high-energy physics especially when in the latter one is addressing energies and temperatures that were extant only in the first nanosecond of the universe. On experiment, we heard a comprehensive coverage of the four United States proton decay experiments. The Brookhaven-Irvine-Michigan experiment in the Morton Salt Mine at Fairport Harbor, Ohio was discussed by LARRY SULAK, while DAVID WINN talked on the Harvard-Purdue-Wisconsin effort in the Silver King Mine, Utah. MARVIN MARSHAK and RICHARD STEINBERG described respectively the Soudan Mine, Minnesot~ and the Homestake Mine, South Dakot~experiments.
Author: P.H. Frampton
Publisher: Springer Science & Business Media
ISBN: 1461258006
Category : Science
Languages : en
Pages : 388
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Book Description
This workshop held at the University of North Carolina was in the series which started with meetings in the University of New Hampshire (April 1980) and the University of Michigan (April 1981). More than one hundred participants congregated in the Carolina Inn in April 1982 to discuss the status of grand unified theories and their connection to experiment. The spring foliage of Chapel Hill provided a beautiful back-drop to this Third Workshop on Grand Unification. As mentioned in the first talk herein, these three workshops have heard of indications, respectively, of neutrino oscillations, proton decay and a magnetic monopole. Since all three experimental reports remain unconfirmed, grand unifiers must wait expectantly and patiently. These proceedings preserve faithfully the ordering of the workshop talks which followed the tradition of alternation between theory and experiment. Only our introduction will segregate them. The experimental presentations mainly concerned proton decay and massive neutrinos. Four U.S. proton decay experiments were reported: the Brookhaven Irvine-Michigan experiment in the Morton Salt Mine at Fairport Harbor, Ohio was described by WILLIAM KROPP, and ROBERT MORSE represented the Harvard-Purdue-Wisconsin group in the Silver King Mine, Utah. The Homestake Mine, South Dakota and Soudan Mine, Minnesota, experiments were reported respectively by RICHARD STEINBERG and DAVID AYRES, the latter providing also a survey of future U.S. experiments.
Author: Rabindra N. Mohapatra
Publisher: Springer Science & Business Media
ISBN: 1475719280
Category : Science
Languages : en
Pages : 321
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Book Description
The theoretical understanding of elementary particle interactions has under gone a revolutionary change during the past one and a half decades. The spontaneously broken gauge theories, which in the 1970s emerged as a prime candidate for the description of electro-weak (as weIl as strong) interactions, have been confirmed by the discovery of neutral weak currents as weIl as the w- and Z-bosons. We now have a field theory of electro-weak interactions at energy scales below 100 GeV-the Glashow-Weinberg-Salam theory. It is a renormalizable theory which enables us to do calculations without en countering unnecessary divergences. The burning question now is: Wh at lies ahead at the next level of unification? As we head into the era of supercolliders and ultrahigh energy machines to answer this question, many ap, pealing possi bilities exist: left-right symmetry, technicolor, compositeness, grand unifica ti on, supersymmetry, supergravity, Kaluza-Klein models, and most recently superstrings that even unify gravity along with other interactions. Experi ments will decide if any one or any combination of these is to be relevant in the description of physics at the higher energies. As an outcome of our con fidence in the possible scenerios for elementary particle physics, we have seen our understanding of the early uni verse improve significantly.
Author: LANGACKER
Publisher: Springer Science & Business Media
ISBN: 1475718128
Category : Science
Languages : en
Pages : 432
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Book Description
It has been sixteen years since the unification of electro Magnetism with the weak interactions was developed by Glashow, Salam, and Weinberg. Well before that proposal was fully confirmed by experiment, work began on unifying strong interactions with the electroweak. Now there is a growing effort to incorporate some theory of quantum gravity into the scheme. This enormous complex of theoreti cal and experimental efforts was the subject of the Fourth Workshop on Grand Unification held in Philadelphia and attended by over two hundred physicists. During the workshop, experimental and theoretical talks alternated as shown by the program summary on page 409. However, to display the logical scope of the workshop the proceedings are organized into five subject areas. Howard Georgi opened the workshop with a keynote address in which he reminds us of some of the simple properties of the particle spectrum that have not yet been understood. The first subject area, and also the largest, is proton decay and underground physics. This is introduced by ~Jill iam r1arciano' s review of the SU(5) predictions with particular attention paid to the theoretical uncertainties. Spokesmen for the major underground experiments present current results on proton decay, nn oscillations, and magnetic monopole flux: B. V. Sreekantan for the Kolar gold field experiment after 1. 9 years of operation, Earl Peterson for the Soudan detector after 0. 55 years, and Bruce Cortez for the rr'lB detector after 0. 22 years.
