Quote: the gravitational field determines the metrical laws of the space-time continuum; only infinitesimal regions are non-gravitational with Euclidean geometry

Quotation

We therefore arrive at the result: the gravitational field influences and even determines the metrical laws of the space-time continuum. If the laws of configuration of ideal rigid bodies are to be expressed geometrically, then in the presence of a gravitational field the geometry is not Euclidean. ... [p. 62] In the immediate neighbourhood of an observer, falling freely in a gravitational field, there exists no gravitational field. ... [p. 63] Space-time regions of finite extent are, in general, not Galilean, so that a gravitational field cannot be done away with by any choice of coordinates in a finite region.   Google-1   Google-2

Published before 1923

Related Topics

Topic: science as measurement (36 items)
Topic: general relativity (47 items)