The discussion revolves around the concept of the shortest distance between two points in curved spaces, particularly in the context of general relativity (GR) and geodesics. Participants explore the implications of curvature on distance and the reasoning behind Einstein's proposals.
Participants do not reach a consensus on the interpretation of Einstein's proposals or the concept of geodesics. There are competing views regarding the implications of curvature on distance and the origins of these concepts.
Some statements rely on assumptions about the nature of curvature and its effects on distance, which may not be universally accepted. The discussion also touches on different interpretations of popular science literature, which may lead to varying understandings of the concepts involved.
Imagine the field isn't flat, but 200 yards high. Would you still walk over the grass? This is basically what it is about in spaces with curvature: a giant heap in the middle. Or take the earth. There is no way directly through it. Masses bend spacetime and thus it has a curvature and the shortest way isn't a straight line anymore.ChrisisC said:
Have you ever seen a map showing intercontinental airplane routes? Why do you think the airlines use curved routes if not because they are shorter and therefore save money.ChrisisC said:
Good idea! (black is the shortest way, grey the direct line - it shows at least the principle)Dale said:
What exactly are you referring here? The concept of geodesics was not introduced by Einstein.ChrisisC said:
A.T. said:
Could also mean the pseudo-Euclidean line interval in Minkowski space time.ChrisisC said: