Optical Geometry of Motion a New View of the Theory of Relativity

Cover Optical Geometry of Motion a New View of the Theory of Relativity
Optical Geometry of Motion a New View of the Theory of Relativity
Alfred a Alfred Arthur Robb
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The index of arrival is defined by the following equation: d(N, N d ) I { 2 r ^ 3 ) ^N d ~-^ by ^ express JV more simply thus N N N + N If we denote ^ by u and : * by t, we may du 6 It will be found that the index, as thus defined, possesses remarkable properties.
We shall consider first a system which is permanent in configuration, and not rotating.
We shall define the distance of any particle P from A as measured by N r -N d 2 In our permanent system this quantity remains fixed for each parti
...cle. If then we select any particle "P, and let we bare > Jf\ S .. And This gives d(N r N d ) ^ 'index of arrival in a non-rotating system of permanent configuration is the arithmetic mean of the indices of departure and return for light coming from the funda- mental particle.
It is easy to see that this holds in general for suck a system, and that any particle of it may take the place of the fundamental particle.
Ln dealing, however, with particles which are in relative motion, we must fix our attention on one particle and regard, it throughout our investigations as the fundamental particle.


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