Titlebook: Special Relativity; Nicholas M. J. Woodhouse Textbook 2003 Springer-Verlag London Ltd. 2003 EFE.Four-acceleration.Four-current.Four-moment

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Lorentz Transformations in Four Dimensions, line at a different speed will have a different idea of simultaneity. The coordinate systems of the two observers are related not by the classical Galilean transformation, but by the Lorentz transformation.

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Relativistic Collisions, or the observer. But there is a price; Newton’s laws are invariant under Galiliean transformations, but not under Lorentz transformations. In fact, Galilean invariance is a corollary of Newton’s laws. So if Einstein’s picture of space-time is the correct one, then we must revise the basic principles of dynamics.

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1615-2085 ns a wealth of exercises and examples to give the students tSpecial relativity is one of the high points of the undergraduate mathematical physics syllabus. Nick Woodhouse writes for those approaching the subject with a background in mathematics: he aims to build on their familiarity with the founda

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Relativity in Classical Mechanics,in and a set of right-handed Cartesian axes. Sometimes there is a natural choice. In a projectile problem, for example, it is sensible to take the .-axis to point directly upwards and to pick out the origin and the direction of the .-axis from the initial conditions. Such choices become embedded in

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,Einstein’s Special Theory of Relativity,elativity. It seems to predict that in a moving frame of reference, light travels at different speeds in different directions; and it seems to require an ‘ether’—an all pervasive medium that determines an absolute standard of rest. But the ether defies detection; the Michelson-Morley experiment, and

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Lorentz Transformations in Four Dimensions,. is the distance of an event from the observer and . is the time shown on the observer’s clock at the simultaneous event at the observer’s location. It is built into the definition of . and . that light travels at constant speed; but it is a consequence of it that a second observer moving along the

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Relative Motion,ghtforward way. The motion relative to the first frame combines with that of the first frame relative to the second by vector addition of velocities. In Chapter 4, however, we saw that the rule for combining velocities along a line is different in Einstein’s theory, not least because a photon moving

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Relativistic Collisions,is gives a consistent, if unfamiliar, framework within which to understand relative motion. It is one in which the conspicious incompatibility between Maxwell’s equations and the principle of relativity is resolved because the velocity of photons is always the same, whatever the motion of the source