Question on Space time geometry

[raknath]

Hi

Was just going through this site

http://casa.colorado.edu/~ajsh/sr/centre.html

As i was going through i tired drawing the spacetime geometry for two objects approaching each other.

So we would have both the space time planes intertwining each other.Does this mean that the even before the objects actually collide(assuming they collide) they would see each other colliding? That should be so because the time path for the future event(collision) is ahead of the body itself?

am i getting confused here?

 

[vin300]

The spacetime of the other body wd be seen to be skewed. You cd draw similar diagrams as there to find the other obsever showing lesser time and because the rel velocity is the same, he concludes that the other one sees length to be longitudinally contracted

 

[Entropia]

Hi there,

You are on the right track! The spacetime geometry for two objects approaching each other would indeed show their paths intertwining as they get closer. And yes, according to the theory of relativity, time and space are interconnected, so the future event of their collision would appear on their spacetime path before it actually happens in physical space.

This can be a bit confusing to wrap your head around, but think of it this way: the closer the objects get to each other, the more they are affected by each other's gravity and the slower their time passes. So, in a sense, they are already "seeing" each other's future path before it actually happens.

I hope this helps clarify things a bit. Keep exploring and learning about spacetime geometry, it's a fascinating concept!