The Rudiments of Relativity Lectures Delivered Under the Auspices of the Univer
The Rudiments of Relativity Lectures Delivered Under the Auspices of the Univer
John Patrick Dalton
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This example is very simple because we limit our problem to ourselves here, and thus our distance-scales and our time-scales are independent one of the other; time being the same for all of us it does not cause any variation in our distance measures. Such syntheses are purely local, but they suffice for most terrestrial purposes. Imagine now that a man from Mars is looking down at us and sees us mapping out relative positions, not on our coin any longer, for that is on too small a scale, but, s...ay, mapping out the positional relations between the highest point of the Town Hall, Johannesburg, and the highest point of the City Hall, Cape Town. He sees us lay off our co-ordinates, measure our doc, dy, dz, and calculate ds; he follows our example, but finds that his ds is different from ours, that it is not even constant. The local invariant which, for ourselves, serves the purpose of synthesizing perspectives by fixing position relations, will not suffice if we are to include the perspectives of moving observers.
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