IF BRAINLY IS NOT WORST APP THEN WHY NO ONE ANSWER THIS QUESTION? THAT IF THE INITIAL VELOCITY OF A MOVING BODY IS ABOUT 2LAKH KM PER SECOND THEN WHAT WILL BE ITS SPEED IN A WORM HOLE???????
Answers
Answer:
You don't need a wormhole for there to be different distances between two points, because gravitational lensing does that already.
In its most symmetric form the light flow round a gravitational lens looks something like:
Lens
The light from the object can follow one of two paths aa or bb shown by the solid lines to reach the observer, and as a result the observer sees two images. Actually the observer sees a ring, because the setup is axially symmetric about the line between the observer and object. This is the famous Einstein ring. Note that the paths aa and bb look curved to us because we're looking at a curved spacetime. As far as the light rays are concerned the paths are straight. So we have two different straight lines from the object to the observer.
In this most symmetric setup the length of all the paths aa, bb and the ones out of the plane of the diagram are the same. However break the symmetry slightly and now the paths aa and bb have different lengths. Let me emphasise this point. Light travels along straight lines - null geodesics - and yet there are multiple different paths to get from the object to the observer, and they can all have different lengths.
So we have exactly the same situation as you describe for your wormhole, though obviously the difference is far larger with a wormhole. My point is that this is routine in general relativity and not regarded as anything special. The notion that there is a unique distance between two points simply doesn't apply in GR - it is part of the baggage that you have to abandon.