Sign swapping - spacelike intervals

  • Thread starter Svendsen
  • Start date
  • #1
4
0
Hello guys!

I´ve seen that for spacelike intervals, ie [itex] s^2 < 0 [/itex] you´re able to swap the sign of s = x-y = y-x. Why is that?

Thanks!
 

Answers and Replies

  • #2
4
0
Supposedly there exists a continous transform between x-y and y-x for spacelike intervals, but not for timelike ones. Can anyone show me that?
 
  • #3
4
0
Figured it out! The reason is that for spacelike intervals it is possible to choose a reference frame such that the two events x and y occur at the same time. This however is not possible for timelike ones.
 
  • #4
Dale
Mentor
Insights Author
2020 Award
30,854
7,452
Supposedly there exists a continous transform between x-y and y-x for spacelike intervals, but not for timelike ones. Can anyone show me that?
Take the axis which is 45° between x and y. Rotate 180° about that axis. Now you have swapped x and y, and since every rotation about that axis less than 180° is also a valid transform, the transform is continuous.
 

Related Threads on Sign swapping - spacelike intervals

  • Last Post
2
Replies
30
Views
5K
  • Last Post
Replies
4
Views
2K
  • Last Post
6
Replies
128
Views
9K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
23
Views
7K
  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
2
Views
908
  • Last Post
Replies
6
Views
845
  • Last Post
Replies
4
Views
4K
Replies
41
Views
12K
Top