Question on Space time geometry

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SUMMARY

The discussion centers on the visualization of spacetime geometry for two approaching objects, referencing the site from the University of Colorado. The user questions whether the objects would perceive each other as colliding before actual contact, due to the nature of their future event paths in spacetime. The conversation highlights the concept of skewed spacetime for observers and the implications of relativistic effects, such as length contraction, as described by Einstein's theory of relativity.

PREREQUISITES
  • Understanding of Einstein's theory of relativity
  • Familiarity with spacetime diagrams
  • Knowledge of relativistic effects such as time dilation and length contraction
  • Basic grasp of the concept of simultaneity in different reference frames
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  • Study spacetime diagrams in detail to visualize events in relativity
  • Learn about the implications of simultaneity in special relativity
  • Explore the mathematics of time dilation and length contraction
  • Investigate the concept of causality in relativistic physics
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Students of physics, educators teaching relativity, and anyone interested in the implications of spacetime geometry in understanding the behavior of objects at relativistic speeds.

raknath
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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?:confused:
 
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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
 

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