feynmann
- 156
- 1
tiny-tim said:ah … but the ball doesn't feel the bumps, it looks at them …
so it's using eyesight to calculate gravity!
How long does the ball take to calculate gravity?
The discussion revolves around the concept of momentum and motion in the context of General Relativity (GR), specifically addressing what causes a motionless meteorite shard to gain momentum when placed in the curvature created by the Sun. Participants explore the implications of spacetime curvature on the movement of objects, the nature of momentum, and the relationship between mass and curvature.
Participants express a range of views on the relationship between spacetime curvature, mass, and momentum. There is no consensus on the exact mechanisms that cause a motionless meteorite shard to gain momentum or how to interpret the implications of spacetime curvature on motion.
Some discussions highlight the limitations of defining momentum in a coordinate-independent manner and the challenges in reconciling kinematic and dynamic perspectives within the framework of General Relativity.
tiny-tim said:ah … but the ball doesn't feel the bumps, it looks at them …
so it's using eyesight to calculate gravity!
DaleSpam said:Hi Chaste,
This is best understood in geometrical terms. Do you understand (in SR) how the worldline of an inertially moving object is a straight line? If two inertially moving objects are at rest wrt each other then their worldlines are two parallel lines. In a flat space the distance between two parallel lines is constant and they never intersect.
Now, consider geometry on a sphere. On a sphere a "straight" line is a great circle. Longitude lines are examples of great circles. If you consider two nearby longitude lines at the equator they are parallel, and yet at the poles they intersect and the distance between the two lines is not constant.
So, on a sphere two lines can be parallel at one point and intersect at another point despite the fact that both lines are straight at all points. Translating back to physics, in a curved spacetime two observers can be at rest wrt each other at one point and their paths can intersect despite the fact that neither accelerates at any point (they are each inertial at all points).