On 12/10/2017 8:49 AM, [email protected] wrote:
What is the connection between the Equivalence Principle and Einstein's Field Equations?

It led to the idea that force-free paths in space could be geodesic paths in spacetime, so the apparent acceleration falling objects could be modelled by geodesic paths in curved spacetime.

How did the former lead to the latter? Why was the man falling from the ladder so decisive in leading to the Theory of General Relativity? TIA, AG

You have asked for a "connection" and then you imply that one "led to" GR and finally predicated a question on the "connection" being "decisive" in leading to GR.  The "connection" is just one of suggesting an idea.

Brent

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