How is proper acceleration defined?

Hi OMFG Clown
No, in this case acceleration is defined by forces acting on the body. Measurable by an accelerometer. Free falling in a g field would have a null reading ,,no force.
There is still coordinate acceleration as measured by external frames. As charted in at least some of those frames it would be a hyperbolic path.
So your motion would be inertial , not accelerated.

 

I can't get my head around that just because we can't measure it, we consider it inertial.

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Funny that you're replying to a banned clown.

I have a funny feeling that I'm gonna be banned pretty soon too.