Author: M. D. Maia
Publisher: Springer Science & Business Media
ISBN: 1441982736
Category : Science
Languages : en
Pages : 182
Book Description
The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.
Geometry of the Fundamental Interactions
Author: M. D. Maia
Publisher: Springer Science & Business Media
ISBN: 1441982736
Category : Science
Languages : en
Pages : 182
Book Description
The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.
Publisher: Springer Science & Business Media
ISBN: 1441982736
Category : Science
Languages : en
Pages : 182
Book Description
The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.
Infinite Dimensional Geometry, Noncommutative Geometry, Operator Algebras And Fundamental Interactions - Proceedings Of The First Caribbean Spring School Of Mathematics And Theoretical Physics
Author: Robert Coquereaux
Publisher: World Scientific
ISBN: 9814549320
Category :
Languages : en
Pages : 414
Book Description
Publisher: World Scientific
ISBN: 9814549320
Category :
Languages : en
Pages : 414
Book Description
The Etheric Particle 216
Author: Salah-Eddin Gherbi
Publisher: Salah Gherbi
ISBN: 9781527207905
Category :
Languages : en
Pages : 236
Book Description
The numerical universe revealed from Glastonbury, deciphered from crop circles, ancient measures, astronomy, mathematics and physics, bringing a new understanding of the fifth element or the ether.This book presents a unified theory of science, metaphysics, the philosophy of divine nature and geometry, encoding harmonic numbers from the Bible, folklore and ancient scriptures, revealing a unique template uniting microcosm with macrocosm.
Publisher: Salah Gherbi
ISBN: 9781527207905
Category :
Languages : en
Pages : 236
Book Description
The numerical universe revealed from Glastonbury, deciphered from crop circles, ancient measures, astronomy, mathematics and physics, bringing a new understanding of the fifth element or the ether.This book presents a unified theory of science, metaphysics, the philosophy of divine nature and geometry, encoding harmonic numbers from the Bible, folklore and ancient scriptures, revealing a unique template uniting microcosm with macrocosm.
Theory of Gravitational Interactions
Author: Maurizio Gasperini
Publisher: Springer
ISBN: 3319496824
Category : Science
Languages : en
Pages : 380
Book Description
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.
Publisher: Springer
ISBN: 3319496824
Category : Science
Languages : en
Pages : 380
Book Description
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.
The Geometry of Ecological Interactions
Author: Ulf Dieckmann
Publisher: Cambridge University Press
ISBN: 0521642949
Category : Mathematics
Languages : en
Pages : 583
Book Description
The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.
Publisher: Cambridge University Press
ISBN: 0521642949
Category : Mathematics
Languages : en
Pages : 583
Book Description
The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.
Physics from Finance
Author: Jakob Schwichtenberg
Publisher: No-Nonsense Books
ISBN:
Category : Science
Languages : en
Pages : 200
Book Description
Understanding modern physics doesn’t have to be confusing and hard What if there was an intuitive way to understand how nature fundamentally works? What if there was a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that Physics from Finance now exists. What will you learn from this book? Get to know all fundamental interactions —Grasp how we can describe electromagnetic interactions, weak interactions, strong interactions and gravity using the same key ideas.Learn how to describe modern physics mathematically — Understand the meaning and origin of the Einstein equation, Maxwell’s equations, and the Schrödinger equation.Develop an intuitive understanding of key concepts — Read how we can understand abstract ideas like Gauge Symmetry, Internal Spaces, Gauge Fields, Connections and Curvature using a simple toy model of the financial market.Get an understanding you can be proud of — Learn why fiber bundles and group theory provide a unified framework for all modern theories of physics. Physics from Finance is the most reader-friendly book on the geometry of modern physics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focusses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each formula comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focusses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually.Whenever a concept is used which was already introduced previously, there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, helpful diagrams make sure you won’t get lost.
Publisher: No-Nonsense Books
ISBN:
Category : Science
Languages : en
Pages : 200
Book Description
Understanding modern physics doesn’t have to be confusing and hard What if there was an intuitive way to understand how nature fundamentally works? What if there was a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that Physics from Finance now exists. What will you learn from this book? Get to know all fundamental interactions —Grasp how we can describe electromagnetic interactions, weak interactions, strong interactions and gravity using the same key ideas.Learn how to describe modern physics mathematically — Understand the meaning and origin of the Einstein equation, Maxwell’s equations, and the Schrödinger equation.Develop an intuitive understanding of key concepts — Read how we can understand abstract ideas like Gauge Symmetry, Internal Spaces, Gauge Fields, Connections and Curvature using a simple toy model of the financial market.Get an understanding you can be proud of — Learn why fiber bundles and group theory provide a unified framework for all modern theories of physics. Physics from Finance is the most reader-friendly book on the geometry of modern physics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focusses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each formula comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focusses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually.Whenever a concept is used which was already introduced previously, there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, helpful diagrams make sure you won’t get lost.
Gauge Theories Of Fundamental Interactions - Proceedings Of The Xxxii Semester In The Stefan Banach International Mathematical Center
Author: Marek Pawlowski
Publisher: World Scientific
ISBN: 9814611182
Category : Gauge fields (Physics)
Languages : en
Pages : 520
Book Description
The 23 review lectures in this volume were presented by prominent specialists in the field. The scope is wide: major trends in gauge field theory and its applications are covered. A considerable part of the articles contain previously unpublished results.
Publisher: World Scientific
ISBN: 9814611182
Category : Gauge fields (Physics)
Languages : en
Pages : 520
Book Description
The 23 review lectures in this volume were presented by prominent specialists in the field. The scope is wide: major trends in gauge field theory and its applications are covered. A considerable part of the articles contain previously unpublished results.
Fundamental Interactions in Physics
Author: Arnold Perlmutter
Publisher: Springer Science & Business Media
ISBN: 1468408836
Category : Science
Languages : en
Pages : 399
Book Description
The Center for Theoretical Studies of the University of Miami has been the host of annual winter conferences whose content has expanded from the particular topic of symmetry principles in high energy physics to encompass the bases and relationships of many branches of know ledge. The scope of the Tenth Coral Gables Conference on Fundamental Interactions included astrophysics, atomic and molecular physics, fundamental theories of gravi tation, of electromagnetism, and of hadrons, gauge theories of weak and electromagnetic interactions, high energy physics, liquid helium physics, and theoretical biology. The range of topics is partially represented by the scientific talks which form this book. The tangible fruits of the conference are these papers; the intangible ones are the changes of outlook which the participants experienced and the new appreciation they gained of the basic unity of all knowledge. Historically, the early Coral Gables Conferences witnessed the introduction of the concept of the quark and the attempts to formulate a unification of the in ternal and space-time symmetries of the elementary particles, while later ones were the initial forums for new unified theories of interactions and for the ideas of scaling, light-cone dominance, and partons.
Publisher: Springer Science & Business Media
ISBN: 1468408836
Category : Science
Languages : en
Pages : 399
Book Description
The Center for Theoretical Studies of the University of Miami has been the host of annual winter conferences whose content has expanded from the particular topic of symmetry principles in high energy physics to encompass the bases and relationships of many branches of know ledge. The scope of the Tenth Coral Gables Conference on Fundamental Interactions included astrophysics, atomic and molecular physics, fundamental theories of gravi tation, of electromagnetism, and of hadrons, gauge theories of weak and electromagnetic interactions, high energy physics, liquid helium physics, and theoretical biology. The range of topics is partially represented by the scientific talks which form this book. The tangible fruits of the conference are these papers; the intangible ones are the changes of outlook which the participants experienced and the new appreciation they gained of the basic unity of all knowledge. Historically, the early Coral Gables Conferences witnessed the introduction of the concept of the quark and the attempts to formulate a unification of the in ternal and space-time symmetries of the elementary particles, while later ones were the initial forums for new unified theories of interactions and for the ideas of scaling, light-cone dominance, and partons.
Deformed Spacetime
Author: Fabio Cardone
Publisher: Springer Science & Business Media
ISBN: 1402062834
Category : Science
Languages : en
Pages : 499
Book Description
This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.
Publisher: Springer Science & Business Media
ISBN: 1402062834
Category : Science
Languages : en
Pages : 499
Book Description
This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.
Energy and Geometry
Author: Fabio Cardone
Publisher: World Scientific
ISBN: 9812387285
Category : Science
Languages : en
Pages : 161
Book Description
Special Relativity (SR) is essentially grounded on the properties of space-time, i.e. isotropy of space and homogeneity of space and time (as a consequence of the equivalence of inertial frames) and on the Galilei principle of relativity.
Publisher: World Scientific
ISBN: 9812387285
Category : Science
Languages : en
Pages : 161
Book Description
Special Relativity (SR) is essentially grounded on the properties of space-time, i.e. isotropy of space and homogeneity of space and time (as a consequence of the equivalence of inertial frames) and on the Galilei principle of relativity.