Proving Particle Velocity Exceeds c in All Inertial Systems

Click For Summary
To prove that a hypothetical particle with velocity greater than the speed of light (v > c) in one inertial system also has v > c in all inertial systems, a space-like four-velocity is utilized. By applying a Lorentz transformation to this four-velocity, it can be demonstrated that the result remains space-like. This indicates that the particle's velocity exceeds the speed of light in any inertial frame. The discussion emphasizes the consistency of relativistic principles across different reference frames. Ultimately, the conclusion reinforces the theoretical implications of particles exceeding light speed in special relativity.
martyf
Messages
41
Reaction score
0

Homework Statement



Show that if an hypothetical particle has v>c in a inertial system , v>c in any other
inertial system


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
Take a space-like four-velocity and apply a Lorentz transformation to it. Then show that the result is also space-like.
 
Ok, thanks!
 

Similar threads

Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
12
Views
2K
  • · Replies 3 ·
Replies
3
Views
821