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Beyond The Einstein Addition Law And Its Gyroscopic Thomas Precession (Cód: 6105808)

A.A. Ungar

SPRINGER VERLAG POD

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Beyond The Einstein Addition Law And Its Gyroscopic Thomas Precession

R$700,30

Descrição

Evidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the
beautiful swan of gyrogroup and gyrovector space theory, where it has been extended by abstraction into an automorphism generator, called the Thomas gyration. The Thomas gyration, in turn, allows the
introduction of vectors into hyperbolic geometry, where they are called gyrovectors, in such a way that Einstein's velocity additions turns out to be a gyrovector addition. Einstein's addition thus becomes a
gyrocommutative, gyroassociative gyrogroup operation in the same way that ordinary vector addition is a commutative, associative group operation. Some gyrogroups of gyrovectors admit scalar multiplication, giving rise to
gyrovector spaces in the same way that some groups of vectors that admit scalar multiplication give rise to vector spaces. Furthermore, gyrovector spaces form the setting for hyperbolic geometry in the same way that vector
spaces form the setting for Euclidean geometry. In particular, the gyrovector space with gyrovector addition given by Einstein's (Möbius') addition forms the setting for the Beltrami (Poincaré) ball model of hyperbolic
geometry. The gyrogroup-theoretic techniques developed in this book for use in relativity physics and in hyperbolic geometry allow one to solve old and new important problems in relativity physics. A case in point is
Einstein's 1905 view of the Lorentz length contraction, which was contradicted in 1959 by Penrose, Terrell and others. The application of gyrogroup-theoretic techniques clearly tilt the balance in favor of Einstein.

Características

Produto sob encomenda Sim
Marca SPRINGER VERLAG POD
Cód. Barras 9781402003530
Altura 23.40 cm
I.S.B.N. 9781402003530
Profundidade 2.38 cm
Referência 9781402003530
Ano da edição 2001
Idioma Inglês
Número de Páginas 464
Peso 0.45 Kg
Largura 15.60 cm
AutorA.A. Ungar