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If you can get an intuition for what the following two quotes mean, you'll have understood most of the conceptual content of general relativity: "Space tells matter how to move; matter tells space how to curve." "Free fall is the natural state of motion."
I’m not sure how “natural” free fall is though .. wouldn’t the natural state be moving at a constant velocity?
Yeah I guess the ‘test particle following its world line uninterrupted’ is the only thing you need
Right .. I would say /that/ is the most “natural” state of motion .. following a linear world line
this is free fall in the absence of curvature though
I agree.. I guess my objection is more about the concern of the confusion due to semantics .. people usually say free fall to necessarily mean “under gravity”
yes but I don’t see how that’s relevant to my comment
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