analytical mechanics for relativity and quantum mechanics oxford graduate texts

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Analytical Mechanics For Relativity And Quantum Mechanics

Author : Oliver Johns
ISBN : 9780191001628
Genre : Science
File Size : 59. 44 MB
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An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.

Analytic Hyperbolic Geometry And Albert Einstein S Special Theory Of Relativity

Author : Abraham A. Ungar
ISBN : 9789812772299
Genre : Science
File Size : 30. 99 MB
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This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Newtonian velocity addition is the common vector addition, which is both commutative and associative. The resulting vector spaces, in turn, form the algebraic setting for the standard model of Euclidean geometry. In full analogy, Einsteinian velocity addition is a gyrovector addition, which is both gyrocommutative and gyroassociative. The resulting gyrovector spaces, in turn, form the algebraic setting for the Beltrami–Klein ball model of the hyperbolic geometry of Bolyai and Lobachevsky. Similarly, Mצbius addition gives rise to gyrovector spaces that form the algebraic setting for the Poincarי ball model of hyperbolic geometry. In full analogy with classical results, the book presents a novel relativistic interpretation of stellar aberration in terms of relativistic gyrotrigonometry and gyrovector addition. Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. The novel relativistic resultant mass of the system, concentrated at the relativistic center of mass, dictates the validity of the dark matter and the dark energy that were introduced by cosmologists as ad hoc postulates to explain cosmological observations about missing gravitational force and late-time cosmic accelerated expansion. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying analytic hyperbolic geometry.

The Physics Of Quantum Mechanics

Author : James Binney
ISBN : 9780199688579
Genre : Science
File Size : 89. 55 MB
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"First published by Cappella Archive in 2008."

Shape Dynamics

Author : Flavio Mercati
ISBN : 9780192506603
Genre : Science
File Size : 78. 72 MB
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This textbook on the nature of space and time explains the new theory of Space Dynamics, which describes the dynamics of gravity as the evolution of conformal 3-dimensional geometry. Shape Dynamics is equivalent to Einstein's General Relativity in those situations in which the latter has been tested experimentally, but the theory is based on different first principles. It differs from General Relativity in certain extreme conditions. Shape Dynamics allows us to describe situations in which the spacetime picture is no longer adequate, such as in the presence of singularities, when the idealization of infinitesimal rods measuring scales and infinitesimal clocks measuring proper time fails. This tutorial book contains both a quick introduction for readers curious about Shape Dynamics, and a detailed walk-through of the historical and conceptual motivations for the theory, its logical development from first principles and a description of its present status. It includes an explanation of the origin of the theory, starting from problems posed first by Newton more than 300 years ago. The book will interest scientists from a large community including all foundational fields of physics, from quantum gravity to cosmology and quantum foundations, as well as researchers interested in foundations. The tutorial is sufficiently self-contained for students with some basic background in Lagrangian/Hamiltonian mechanics and General Relativity.

Mathematical Reviews

Author :
ISBN : UOM:39015076649873
Genre : Mathematics
File Size : 53. 80 MB
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Relativity

Author : Wolfgang Rindler
ISBN : 9780198508359
Genre : Science
File Size : 28. 26 MB
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'... it would be an excellent basis for work in general relativity and cosmology... a first class presentation of the intellectual glory of the first century of relativity.' Times Higher Education SupplementThis book is a considerable amplification and modernisation of the authors' earlier Essential Relativity. It aims to bring the challenge and excitement of modern relativity and cosmology at rigourous mathematical level within reach of advanced undergraduates and beginning graduates, while containing enough new material to interest the experienced lecturer.

Solved Problems In Classical Mechanics

Author : O.L. de Lange
ISBN : 9780199582525
Genre : Mathematics
File Size : 58. 17 MB
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simulated motion on a computer screen, and to study the effects of changing parameters. --

New Technical Books

Author : New York Public Library
ISBN : UOM:39015063566296
Genre : Engineering
File Size : 39. 64 MB
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Collier S Encyclopedia With Bibliography And Index

Author : Emanuel Friedman
ISBN : UOM:39015039393296
Genre : Encyclopedias and dictionaries
File Size : 36. 91 MB
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American Book Publishing Record

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ISBN : UOM:39015066180442
Genre : American literature
File Size : 32. 87 MB
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