How is proper acceleration defined?

[OMFG Clown]

If we are accelerating in a uniform grav field, we are unable to feel it.

In that case, are we still considered as undergoing proper acceleration? Will we follow a hyperbolic path?

 

[Austin0]

If we are accelerating in a uniform grav field, we are unable to feel it.

In that case, are we still considered as undergoing proper acceleration? Will we follow a hyperbolic path?

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.

 

[Rex Lazoe]

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 going to be banned pretty soon too.