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Beyond Pseudo Rotations In Pseudo Euclidean Spaces

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Beyond Pseudo Rotations in Pseudo Euclidean Spaces

Beyond Pseudo Rotations in Pseudo Euclidean Spaces Book
Author : Abraham Ungar
Publisher : Academic Press
Release : 2018-01-10
ISBN : 0128117745
Language : En, Es, Fr & De

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Book Description :

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

Geometric Science of Information

Geometric Science of Information Book
Author : Frank Nielsen,Frédéric Barbaresco
Publisher : Springer
Release : 2019-09-23
ISBN : 3030269809
Language : En, Es, Fr & De

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Book Description :

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

A History of Non Euclidean Geometry Book
Author : Boris A. Rosenfeld
Publisher : Springer Science & Business Media
Release : 2012-09-08
ISBN : 1441986804
Language : En, Es, Fr & De

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Book Description :

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 of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.

Beyond Peaceful Coexistence

Beyond Peaceful Coexistence Book
Author : Licata Ignazio
Publisher : World Scientific
Release : 2016-03-30
ISBN : 1783268336
Language : En, Es, Fr & De

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Book Description :

'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 build new ways of understanding, working and relating to them. The original A. Shimony meaning of the peaceful coexistence (the collapse postulate and non-locality) appear to be just the tip of the iceberg in relation to more serious fundamental issues across physics as a whole.Chapters in this book present perspectives on emergent, discrete, geometrodynamic and topological approaches, as well as a new interpretative spectrum of quantum theories after Copenhagen, discrete time theories, time-less approaches and 'super-fluid' pictures of space-time.As well as stimulating further research among established theoretical physicists, the book can also be used in courses on the philosophy and mathematics of theoretical physics.

100 Years of Relativity

100 Years of Relativity Book
Author : Abhay Ashtekar
Publisher : World Scientific
Release : 2005
ISBN : 9812563946
Language : En, Es, Fr & De

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Book Description :

Divided into three parts, this volume focuses on a summary of how relativity theories were born. It also discusses the ramifications of general relativity, such as black holes, space-time singularities, gravitational waves, the large scale structure of the cosmos, and more. It includes summaries of radical changes in the notions of space and time.

CASYS

CASYS Book
Author : Daniel M. Dubois
Publisher :
Release : 2001
ISBN : 9782960026238
Language : En, Es, Fr & De

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Physics Briefs

Physics Briefs Book
Author : N.A
Publisher :
Release : 1994
ISBN :
Language : En, Es, Fr & De

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Book Description :

The Monist

The Monist Book
Author : Paul Carus
Publisher :
Release : 1908
ISBN :
Language : En, Es, Fr & De

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Book Description :

Vols. 2 and 5 include appendices.

INIS Atomindex

INIS Atomindex Book
Author : N.A
Publisher :
Release : 1986
ISBN :
Language : En, Es, Fr & De

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Book Description :