Quote: consider a bug that lives on a hot plate and uses rulers effected by temperature; if the length of a ruler varies by the square of the distance from the origin, the geometry is that of a sphere

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Now we want to consider still a third … plane … The temperature is different at different places. Also, … heated. … [p. 42-4] If you assume that the length of … goes in proportion to one plus some constant … geometry of that hot plate is exactly the … [footnote: Except for the one point at infinity] as the geometry of the sphere.   Google-1   Google-2

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Topic: general relativity (47 items)