- #1
cianfa72
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- TL;DR Summary
- Can a free body check for its geodesically followed path in spacetime ?
Hi,
My question can result a bit odd.
Consider flat spacetime. We know that inertial motions are defined by 'zero proper acceleration'. Suppose there exist just one free body in the context of SR flat spacetime (an accelerometer attached to it reads zero). We know that 'zero proper acceleration' means geodesic path followed in spacetime.
The point is: in a coordinate-free way (no reference frame involved at all) is the 'body' able to check that the path it is following in spacetime is actually a geodesic one ?
My question can result a bit odd.
Consider flat spacetime. We know that inertial motions are defined by 'zero proper acceleration'. Suppose there exist just one free body in the context of SR flat spacetime (an accelerometer attached to it reads zero). We know that 'zero proper acceleration' means geodesic path followed in spacetime.
The point is: in a coordinate-free way (no reference frame involved at all) is the 'body' able to check that the path it is following in spacetime is actually a geodesic one ?