# Beyond Pseudo Rotations in Pseudo Euclidean Spaces

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- Author : Abraham Ungar
- Publisher : Academic Press
- Release : 10 January 2018
- ISBN : 9780128117743
- Page : 418 pages
- Rating : 4.5/5 from 103 voters

## Download Beyond Pseudo Rotations in Pseudo Euclidean Spaces in PDF, Epub and Kindle

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n ∈ N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein’s special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new results that suggest further exploration in these areas. Introduces the study of generalized gyrogroups and gyrovector spaces Develops new algebraic structures, bi-gyrogroups and bi-gyrovector spaces Helps readers to surmount boundaries between algebra, geometry and physics Assists readers to parametrize and describe the full set of generalized Lorentz transformations in a geometric way Generalizes approaches from gyrogroups and gyrovector spaces to bi-gyrogroups and bi-gyrovector spaces with geometric entanglement

### Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

- Author : Abraham Ungar
- Publisher : Academic Press
- Release Date : 2018-01-10
- ISBN : 9780128117743

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n ∈ N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein’s special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing

### Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

- Author : Abraham Ungar
- Publisher : Academic Press
- Release Date : 2018-01-18
- ISBN : 0128117737

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n ? N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein's special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new

### Geometric Science of Information

- Author : Frank Nielsen,Frédéric Barbaresco
- Publisher : Springer
- Release Date : 2019-08-19
- ISBN : 9783030269807

This book constitutes the proceedings of the 4th International Conference on Geometric Science of Information, GSI 2019, held in Toulouse, France, in August 2019. The 79 full papers presented in this volume were carefully reviewed and selected from 105 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications.

### A History of Non-Euclidean Geometry

- Author : Boris A. Rosenfeld
- Publisher : Springer Science & Business Media
- Release Date : 2012-09-08
- ISBN : 9781441986801

The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics

### 100 Years Of Relativity: Space-time Structure - Einstein And Beyond

- Author : Abhay Ashtekar
- Publisher : World Scientific
- Release Date : 2005-11-22
- ISBN : 9789814479936

Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part

### Group Theory for the Standard Model of Particle Physics and Beyond

- Author : Ken J. Barnes
- Publisher : Taylor & Francis
- Release Date : 2010-03-10
- ISBN : 9781439895207

Based on the author's well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries.After linking symmetries w

### Singular Integrals in Quantum Euclidean Spaces

- Author : Adrían M. González-Pérez,Marius Junge,Javier Parcet
- Publisher : American Mathematical Society
- Release Date : 2021-11-16
- ISBN : 9781470449377

View the abstract.

### Beyond Peaceful Coexistence

- Author : Licata Ignazio
- Publisher : World Scientific
- Release Date : 2016-03-30
- ISBN : 9781783268337

'It may be that a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal.'J S BellBeyond Peaceful Coexistence: The Emergence of Space, Time and Quantum brings together leading academics in mathematics and physics to address going beyond the 'peaceful coexistence' of space-time descriptions (local and continuous ones) and quantum events (discrete and non-commutative ones). Formidable challenges waiting beyond the Standard Model require a new semantic consistency within the theories in order to

### Riemannian Geometric Statistics in Medical Image Analysis

- Author : Xavier Pennec,Stefan Sommer,Tom Fletcher
- Publisher : Academic Press
- Release Date : 2019-09-02
- ISBN : 9780128147269

Over the past 15 years, there has been a growing need in the medical image computing community for principled methods to process nonlinear geometric data. Riemannian geometry has emerged as one of the most powerful mathematical and computational frameworks for analyzing such data. Riemannian Geometric Statistics in Medical Image Analysis is a complete reference on statistics on Riemannian manifolds and more general nonlinear spaces with applications in medical image analysis. It provides an introduction to the core methodology followed by a

### Variational Approach to Gravity Field Theories

- Author : Alberto Vecchiato
- Publisher : Springer
- Release Date : 2017-05-30
- ISBN : 9783319512112

This book offers a detailed and stimulating account of the Lagrangian, or variational, approach to general relativity and beyond. The approach more usually adopted when describing general relativity is to introduce the required concepts of differential geometry and derive the field and geodesic equations from purely geometrical properties. Demonstration of the physical meaning then requires the weak field approximation of these equations to recover their Newtonian counterparts. The potential downside of this approach is that it tends to suit the

### Special Relativity and How it Works

- Author : Moses Fayngold
- Publisher : John Wiley & Sons
- Release Date : 2008-07-21
- ISBN : 3527406077

Based on his successful work "Special Relativity and Motions Faster than Light", Moses Fayngold has written a thorough presentation of the special theory of relativity. The unique feature of the textbook is its two-leveled structure helping students to master the material more effectively: the first level presents a qualitative discussion of a problem, while the second one contains its rigorous treatment. Fayngold points out the connection between fundamental principles and known phenomena. In three new chapters on 'Relativity at Work' (

### Introduction to Lorentz Geometry

- Author : Ivo Terek Couto,Alexandre Lymberopoulos
- Publisher : CRC Press
- Release Date : 2021-01-05
- ISBN : 9781000223347

Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to

### CASYS

- Author : Daniel M. Dubois
- Publisher : Unknown
- Release Date : 2001
- ISBN : 2960026233

### Advanced Particle Physics

- Author : Oleg Boyarkin
- Publisher : CRC Press
- Release Date : 2011-02-16
- ISBN : 9781439804162

Helping readers understand the complicated laws of nature, Advanced Particle Physics Volume II: The Standard Model and Beyond explains the calculations, experimental procedures, and measuring methods of particle physics, particularly quantum chromodynamics (QCD). It also discusses extensions to the Standard Model and the physics of massive neutrinos. Divided into three parts, this volume begins with QCD. It explains the quantization scheme using functional integrals and investigates renormalization problems. The book also calculates cross sections of basic hard processes and covers

### Advanced Particle Physics Volume II

- Author : Oleg Boyarkin
- Publisher : CRC Press
- Release Date : 2011-02-16
- ISBN : 9781439804179

Helping readers understand the complicated laws of nature, Advanced Particle Physics Volume II: The Standard Model and Beyond explains the calculations, experimental procedures, and measuring methods of particle physics, particularly quantum chromodynamics (QCD). It also discusses extensions to the Standard Model and the physics of massive neutrinos. Divided into three parts, this volume begins with QCD. It explains the quantization scheme using functional integrals and investigates renormalization problems. The book also calculates cross sections of basic hard processes and covers