Einstein's Space-Time - An Introduction to Special and by Rafael Ferraro

By Rafael Ferraro

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Additional info for Einstein's Space-Time - An Introduction to Special and General Relativity Rafael Ferraro (Springer 2007 322s) WW

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There Huygens defended the wave model for the propagation of light with these words: 17 corpuscular model wave model 18 Einstein’s Space-Time when one considers the extreme speed with which light spreads on every side, and how, when it comes from different regions, even from those directly opposite, the rays traverse one another without hindrance, one may well understand that when we see a luminous object, it cannot be by any transport of matter coming to us from this object, in the way in which a shot or an arrow traverses the air; for assuredly that would too greatly impugn these two properties of light, especially the second of them.

The difference between travel times produces a phase shift that can be measured in the interference of both rays. In Search of the Ether 33 it becomes clear that the movement of the Earth can only contribute to the expansion of t as a power series with terms of even order in V/c, while the flow of water adds odd powers of v/c. If t is a magnitude of first order in v/c, then we will neglect terms of second order in V/c (anyway the experimental device was not sensitive enough to detect them). Therefore t can be calculated as if the Earth were at rest: the velocities of rays 1 and 2 relative to the laboratory will be taken as c/n + fv and c/n − fv respectively.

17). Due to its highly non-monochromatic character (small coherence length), the white light requires that both rays have very close optical path lengths to preserve the interference pattern. Because of this reason the fringes are obtained by moving one of the mirrors with a millimetric screw. The light source was an Argand lamp (a type of oil lamp), where salt crystals could be burned in case that a nearly monochromatic light were needed. 4 fringes was expected (corresponding to V 2 /c2 ∼ 10−8 .

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