## Taylor Expansions of Spacetime

From: andrew cooke <andrew@...>

Date: Tue, 22 Dec 2015 11:01:02 -0300

Q: If spacetime was an analytic manifold could we see into the future
by expanding locally as a power series?

A: This is what physics attempts to do: expand physical laws in terms
of a power series. For example, Newton's law of gravitation
expanded the force of gravity to the second degree and Einstein's
general relativity extends this to degree three.

Andrew