Recent content by Staticboson

I learned from this thread how referring to the treatment of inertial frames in curved spacetime presents a contradiction of terms, not much different than asking "How does still air behave in a hurricane".

This thread has been very, very helpful, much appreciated.

Based on this I have to deduce that an infinitesimally small clock would not experience gravitational time dilation when accelerating, as compared to any inertial observer.

Very nice... I'm going to spend a little time on the subject of congruence before I adventure into rotating frames. Considering that gravity disturbances propagate at a finite velocity (c?) I can see how a rotating gravity source would form a spacetime vortex around the rotating object. I can...

If by gravitational acceleration you refer to the acceleration that an object experiences under the influence of a gravitational field, I understand, this is unrelated to gravitational time dilation. What I believe to be related to gravitational time dilation is a clock inside an elevator that...

This is the very thing I'm trying to grasp as it applies to the falling object in a changing field. I have some understanding of simultaneity relationships between inertial frames of reference and also now understand why those relationships can't be used in curved spacetime, where the concept of...

Thank you, that's the answer I was looking for.

It is this gravitational time dilation that I was expecting to affect the clock of the falling object in comparison to the hovering observer. As the objects falls deeper into the field its clock tick rate becomes slower in relation to the observer's. Understood, the field extends to infinity...

I read this after posting my last response, I believe it answers my question.

I appreciate that information. I'm not sure how to formulate the question in terms of proper time, is there a way to calculate what the clock of the falling object is doing in comparison to the clock of the hovering observer? And if so, how would the proper time tick intervals of the falling...

The tick rate as measured by whom? If by the observer, would the tick rate be asymptotic to infinity?

That was well put, thank you.

Getting back to the question, and based on the comments, is the answer that since the falling is following a geodesic and not changing its speed (not accelerating) that the time dilation is constant? Thanks

I apologize for stating it backwards, but isn't a clock on the surface of the planet running slower than a clock far away from the surface of the planet?

If my friend moves away from the gravitational field, at what point does he loose the notion of up or down? In this thought experiment down is always down, in the direction of the planet.