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## 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

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 ?