Download or read book Higgs Boson Mass predicted by the Four Color Theorem written by Ashay Dharwadker and published by Institute of Mathematics. This book was released on 2009-12-28 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: We show that the mathematical proof of the four color theorem yields a perfect interpretation of the Standard Model of particle physics. The steps of the proof enable us to construct the t-Riemann surface and particle frame which forms the gauge. We specify well-defined rules to match the Standard Model in a one-to-one correspondence with the topological and algebraic structure of the particle frame. This correspondence is exact - it only allows the particles and force fields to have the observable properties of the Standard Model, giving us a Grand Unified Theory. In this paper, we concentrate on explicitly specifying the quarks, gauge vector bosons, the Standard Model scalar Higgs boson and the weak force field. Using all the specifications of our mathematical model, we show how to calculate the values of the Weinberg and Cabibbo angles on the particle frame. Finally, we present our prediction of the Higgs boson mass M = 126 GeV, as a direct consequence of the proof of the four color theorem.
Download or read book The Four Colour Theorem written by Ashay Dharwadker and published by Institute of Mathematics. This book was released on 2000-08-05 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a new proof of the famous four colour theorem using algebraic and topological methods. This proof was first announced by the Canadian Mathematical Society in 2000 and subsequently published by Orient Longman and Universities Press of India in 2008. Recent research in physics shows that this proof directly implies the Grand Unification of the Standard Model with Quantum Gravity in its physical interpretation and conversely the existence of the standard model of particle physics shows that nature applies this proof of the four colour theorem at the most fundamental level.
Download or read book Energy and Mass in Relativity Theory written by Lev Borisovich Okun and published by World Scientific. This book was released on 2009 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy and Mass in Relativity Theory presents about 30 pedagogical papers published by the author over the last 20 years. They deal with concepts central to relativity theory: energy E, rest energy E0, momentum p, mass m, velocity v of particles of matter, including massless photons for which v = c. Other related subjects are also discussed. According to Einstein's equation E0 = mc2, a massive particle at rest contains rest energy which is partly liberated in the nuclear reactions in the stars and the Sun, as well as in nuclear reactors and bombs on the Earth. The mass entering Einstein's equation does not depend on velocity of a body. This concept of mass is used in the physics of elementary particles and is gradually prevailing in the modern physics textbooks. This is the first book in which Einstein's equation is explicitly compared with its popular though not correct counterpart E = mc2, according to which mass increases with velocity. The book will be of interest to researchers in theoretical, atomic and nuclear physics, to historians of science as well as to students and teachers interested in relativity theory.
Download or read book Nuclear and Particle Physics written by Wolfgang Demtröder and published by Springer Nature. This book was released on 2023-01-23 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to nuclear physics and particle physics provides an accessible and clear treatment of the fundamentals. Starting with the structure of nuclei and explaining instability of nuclei, this textbook enables the reader to understand all basics in nuclear physics. The text is written from the experimental physics point of view, giving numerous real-life examples and applications of nuclear forces in modern technology. This highly motivating presentation deepens the reader's knowledge in a very accessible way. The second part of the text gives a concise introduction to elementary particle physics, again together with applications and instrumentation. Nuclear fusion, fission, radionuclides in medicine and particle accelerators are amongst the many examples explained in detail. Numerous problems with solutions are perfect for self-study.
Download or read book The God Particle written by Leon M. Lederman and published by Houghton Mifflin Harcourt. This book was released on 2006 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating tour of particle physics from Nobel Prize winner Leon Lederman. At the root of particle physics is an invincible sense of curiosity. Leon Lederman embraces this spirit of inquiry as he moves from the Greeks' earliest scientific observations to Einstein and beyond to chart this unique arm of scientific study. His survey concludes with the Higgs boson, nicknamed the God Particle, which scientists hypothesize will help unlock the last secrets of the subatomic universe, quarks and all--it's the dogged pursuit of this almost mystical entity that inspires Lederman's witty and accessible history.
Download or read book Space Time and Matter written by Ashay Dharwadker and published by Institute of Mathematics. This book was released on 2010-08-08 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: We show how the grand unified theory based on the proof of the four color theorem can be obtained entirely in terms of the Poincaré group of isometries of space and time. Electric and gauge charges of all the particles of the standard model can now be interpreted as elements of the Poincaré group. We define the space and time chiralities of all spin 1/2 fermions in agreement with Dirac's relativistic wave equation. All the particles of the standard model now correspond to irreducible representations of the Poincaré group according to Wigner's classification. Finally, we construct the Steiner system of fermions and show how the Mathieu group acts as the group of symmetries of the fundamental building blocks of matter.
Download or read book The Grand Unification written by Ashay Dharwadker and published by Institute of Mathematics. This book was released on 2008-08-08 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Precision Tests Of The Standard Electroweak Model written by Paul G Langacker and published by World Scientific. This book was released on 1995-02-23 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt: High precision measurements of weak neutral current and charged current processes and of the properties of the Z and W bosons have established the standard electroweak model as correct down to a distance scale of 10-16 cm, and are a sensitive probe of possible underlying physics. In this book, all aspects of the program are considered in detail, including the structure of the standard model, radiative corrections, high precision experiments, and their implications. The major classes of experiments are surveyed, covering the experiments themselves, the data analysis, results, and prospects.This volume is a detailed reference for theoretical and experimental researchers, as well as an introductory text for advanced students.
Download or read book A Search for the Standard Model Higgs Boson in the Process ZH rightarrow ell ell B bar b in 4 1 unit fb 1 OF CDF II DATA written by and published by . This book was released on 2010 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard model of particle physics provides a detailed description of a universe in which all matter is composed of a small number of fundamental particles, which interact through the exchange of force - carrying gauge bosons (the photon, W{sup ±}, Z and gluons). The organization of the matter and energy in this universe is determined by the effects of three forces; the strong, weak, and electromagnetic. The weak and electromagnetic forces are the low energy manifestations of a single electro-weak force, while the strong force binds quarks into protons and neutrons. The standard model does not include gravity, as the effect of this force on fundamental particles is negligible. Four decades of experimental tests, spanning energies from a few electron-volts (eV) up to nearly two TeV, confirm that the universe described by the standard model is a reasonable approximation of our world. For example, experiments have confirmed the existence of the top quark, the W{sup ±} and the Z bosons, as predicted by the standard model. The latest experimental averages for the masses of the top quark, W{sup ±} and Z are respectively 173.1 ± 0.6(stat.) {+-} 1.1(syst.), 80.399 {+-} 0.023 and 91.1876 {+-} 0.0021 GeV/c2. The SM is a gauge field theory of zero mass particles. However, the SM is able to accommodate particles with non-zero mass through the introduction of a theoretical Higgs field which permeates all of space. Fermions gain mass through interactions with this field, while the longitudinal components of the massive W{sup {+-}} and Z are the physical manifestations of the field itself. Introduction of the Higgs field, directly leads to the predicted existence of an additional particle, the Higgs boson. The Higgs boson is the only particle of the standard model that has not been observed, and is the only unconfirmed prediction of the theory. The standard model describes the properties of the Higgs boson in terms of its mass, which is a free parameter in the theory. Experimental evidence suggests that the Higgs mass has a value between 114.4 and 186 GeV/c2. Particles with a mass in this range can be produced in collisions of less massive particles accelerated to near the speed of light. Currently, one of only a few machines capable of achieving collision energies large enough to potentially produce a standard model Higgs boson is the Tevatron proton-antiproton collider located at Fermi National Accelerator Laboratory in Batavia, Illinois. This dissertation describes the effort to observe the standard model Higgs in Tevatron collisions recorded by the Collider Detector at Fermilab (CDF) II experiment in the ZH --> ll−b{bar b} production and decay channel. In this process, the Higgs is produced along with a Z boson which decays to a pair of electrons or muons (Z --> ll−), while the Higgs decays to a bottom anti-bottom quark pair (H --> b{bar b}). A brief overview of the standard model and Higgs theory is presented in Chapter 2. Chapter 3 explores previous searches for the standard model Higgs at the Tevatron and elsewhere. The search presented in this dissertation expands upon the techniques and methods developed in previous searches. The fourth chapter contains a description of the Tevatron collider and the CDF II detector. The scope of the discussion in Chapter 4 is limited to the experimental components relevant to the current ZH --> l+l−b{bar b} search. Chapter 5 presents the details of object reconstruction; the methods used to convert detector signals into potential electrons, muons or quarks. Chapter six describes the data sample studied for the presence of a ZH --> l+l−b{bar b} signal and details the techniques used to model the data. The model accounts for both signal and non-signal processes (backgrounds) which are expected to contribute to the observed event sample. Chapters 7 and 8 summarize the event selection applied to isolate ZH --> l+l−b{bar b} candidate events from the data sample, and the advanced techniques employed to maximize the separation of the signal from background processes. Chapters 9 and 10 present the systematic uncertainties affecting our modeling of the data sample and the results of the search. Chapter 11 presents a discussion of ZH --> l+l−b{bar b} in the context of the overall Tevatron efforts to observe a standard model Higgs signal.
Download or read book Introduction to Quantum Field Theory written by Anthony G. Williams and published by Cambridge University Press. This book was released on 2022-07-31 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a detailed and uniquely self-contained presentation of quantum and gauge field theories. Writing from a modern perspective, the author begins with a discussion of advanced dynamics and special relativity before guiding students steadily through the fundamental principles of relativistic quantum mechanics and classical field theory. This foundation is then used to develop the full theoretical framework of quantum and gauge field theories. The introductory, opening half of the book allows it to be used for a variety of courses, from advanced undergraduate to graduate level, and students lacking a formal background in more elementary topics will benefit greatly from this approach. Williams provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. Worked examples are included throughout the text and end-of-chapter problems help students to reinforce key concepts. A fully worked solutions manual is available online for instructors.
Download or read book Quantum Field Theory written by Anthony G. Williams and published by Cambridge University Press. This book was released on 2022-08-04 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a detailed and self-contained presentation of quantum field theory, suitable for advanced undergraduate and graduate level courses. The author provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. A fully worked solutions manual is available online for instructors.
Download or read book The Cosmic Cocktail written by Katherine Freese and published by Princeton University Press. This book was released on 2016-05-17 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inside story of the epic quest to solve the mystery of dark matter The ordinary atoms that make up the known universe—from our bodies and the air we breathe to the planets and stars—constitute only 5 percent of all matter and energy in the cosmos. The rest is known as dark matter and dark energy, because their precise identities are unknown. The Cosmic Cocktail is the inside story of the epic quest to solve one of the most compelling enigmas of modern science—what is the universe made of?—told by one of today's foremost pioneers in the study of dark matter. Blending cutting-edge science with her own behind-the-scenes insights as a leading researcher in the field, acclaimed theoretical physicist Katherine Freese recounts the hunt for dark matter, from the discoveries of visionary scientists like Fritz Zwicky—the Swiss astronomer who coined the term "dark matter" in 1933—to the deluge of data today from underground laboratories, satellites in space, and the Large Hadron Collider. Theorists contend that dark matter consists of fundamental particles known as WIMPs, or weakly interacting massive particles. Billions of them pass through our bodies every second without us even realizing it, yet their gravitational pull is capable of whirling stars and gas at breakneck speeds around the centers of galaxies, and bending light from distant bright objects. Freese describes the larger-than-life characters and clashing personalities behind the race to identify these elusive particles. Many cosmologists believe we are on the verge of solving the mystery. The Cosmic Cocktail provides the foundation needed to fully fathom this epochal moment in humankind’s quest to understand the universe.
Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Luniver Press. This book was released on 2006 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological GeometroDynamics is a modification of general relativity inspired by the conceptual problems related to the definitions of inertial and gravitational energy in general relativity. Topological geometrodynamics can be also seen as a generalization of super string models. Physical space-times are seen as four-dimensional surfaces in certain eight-dimensional space. The choice of this space is fixed by symmetries of the standard model so that geometrization of known classical fields and elementary particle quantum numbers results. The notion of many-sheeted space-time allows re-interpretation of the structures of perceived world in terms of macroscopic space-time topology. The generalization of the number concept based on fusion of real numbers and p-adic number fields implies a further generalization of the space-time concept allowing to identify space-time correlates of cognition and intentionality. Quantum measurement theory extended to a quantum theory of consciousness becomes an organic part of theory. A highly non-trivial prediction is the existence of a fractal hierarchy of copies of standard model physics with dark matter identified in terms of macroscopic quantum phases characterized by dynamical and quantized Planck constant. The book is a comprehensive overview and analysis of topological geometrodynamics as a mathematical and physical theory.
Download or read book Quantum Physics written by Marc Humphrey and published by Penguin. This book was released on 2015-01-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum physics explores the behavior of matter and energy at the molecular, atomic, nuclear, and even smaller levels. Idiot's Guides: Quantum Physics explores this very complex topic, while making it easy-to-understand for science enthusiasts and students alike. It skips the complicated math and dives right in to all of the concepts, paradoxes, and implications that make quantum physics so fascinating. Topics include quantum vs. classical physics, the famous double-slit experiment, quantum wave function, the Heisenberg Uncertainty Principle, the Schrodinger's cat thought experiment, quantum entanglement, competing interpretations, quantum gravity, and much more.
Download or read book Dynamical Symmetry Breaking In Quantum Field Theories written by Vladimir A Miransky and published by World Scientific. This book was released on 1994-02-04 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phenomenon of dynamical symmetry breaking (DSB) in quantum field theory is discussed in a detailed and comprehensive way. The deep connection between this phenomenon in condensed matter physics and particle physics is emphasized. The realizations of DSB in such realistic theories as quantum chromodynamics and electroweak theory are considered. Issues intimately connected with DSB such as critical phenomenona and effective lagrangian approach are also discussed.
Download or read book Perspectives on Higgs Physics written by G. L. Kane and published by World Scientific. This book was released on 1993-01-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The masses of fermions and gauge bosons enter the Standard Model through the Higgs mechanism, which is satisfactory technically but is not understood physically. We do not know what nature really does to give mass to particles, nor what experimental clues will lead us to nature's solution. Understanding Higgs physics is necessary in order to complete the Standard Model, and to learn how to extend it and improve its foundations.This book is a collection of current work and thinking about these questions by active workers. It speculates about what form the answers will take, as well as updates and extends previous books and reviews. Some chapters emphasize theoretical questions, some focus on connections with other areas of physics, and some discuss how we can get the data to uncover nature's solution.
Download or read book Particles Strings And Cosmology Proceedings Of The 2nd International Symposium written by Pran Nath and published by World Scientific. This book was released on 1992-05-07 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers by leading physicists on developments in high energy physics, string theory and cosmology. Topics covered include recent results from accelerator and non-accelerator experiments, CP-violation, neutrino physics, precision tests of the Standard Model, quantum gravity and two-dimensional gravity, superstring theory and superstring phenomenology, relativistic astrophysics and cosmology.
