General Covariance, Principle of Equivalence, and PI

>>From Osher Doctorow mdoctorow@xxxxxxxxxxx

COPYRIGHT NOTICE
General Covariance, Principle of Equivalence, and PI
Copyright By Owner Osher Doctorow Ph.D.
First Published 2005

The General Relativity (GR) Principle of Equivalence is according to
Steven Weinberg in his Gravitation and Cosmology (1972) equivalent to
the Principle of General Covariance, and both of them are related to
Gauss'principle of Non-Euclidean geometry according to which in a
sufficiently small region of space one can always find a locally
Euclidean coordinate system. The Equivalence Principle says that "at
every space-time point in an arbitrary gravitational field it is
possible to choose a 'locally inertial coordinate system' suc that,
within a sufficiently small region of the point in question, the laws
of nature take the same form as in unaccelerated Coordinate systems in
the absence of gravitation," (p. 68). The latter few words refer to
special relativity (coordinate system) form of the laws of nature.

I'll try to continue this shortly.

Osher Doctorow

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