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The second special case is that where the relative velocity is perpendicular to the x-axis, and thus θ = π/2, and cos θ = 0, which gives: ν ′ = γ ν {\displaystyle \nu '=\gamma \nu } This is actually completely analogous to time dilation, as frequency is the reciprocal of time.
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This theory made many predictions which have been experimentally verified, including the relativity of simultaneity, length contraction, time dilation, the relativistic velocity addition formula, the relativistic Doppler effect, relativistic mass, a universal speed limit, mass–energy equivalence, the speed of causality and the Thomas precession.
1. First postulate (principle of relativity) The laws of physics take the same form in all inertial frames of reference.. 2. Second postulate (invariance of c) . As measured in any inertial frame of reference, light is always propagated in empty space with a definite velocity c that is independent of the state of motion of the emitting body.
ISBN 0-486-60267-2. Max Born (1920) Die Relativitätstheorie Einsteins und ihre physikalischen Grundlagen (in German). Berlin: Springer. 1920. – Based on Born's lectures at the University of Frankfurt am Main. [2] Available in English under the title Einstein's theory of relativity. New York: Dutton. 1922..
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Download as PDF; Printable version; ... This is a list of mathematical topics in relativity, by Wikipedia ... Creative Commons Attribution-ShareAlike 4.0 ...
The requirement that the equations remain consistent when viewed from various moving observers led to special relativity, a geometric theory of 4-space where intermediation is by light and radiation. [2] The spacetime geometry provided a context for technical description of electric technology, especially generators, motors, and lighting at first.