- #1
Furbishkov
- 15
- 0
1. The problem:
If the Sun blows up at some instant and four minutes later we on Earth sit down to eat lunch, these two events are separated by a spacelike interval. The explosion of the sun cannot have influenced us at the time we sat down because it takes 8 minutes for light to reach us from the Sun. Since the interval is spacelike there must be a reference frame in which the two events are simultaneous. Find the speed of this frame relative to the Sun-Earth rest frame.
My attempt:
So I know that two events spacelike, there is a frame where they happen simultaneously. This frame will have a velocity, v>c. In the above situation, for a person on Earth to experience sitting down and seeing the sun blow up at the same time, they either need to sit down 4 minutes later or for the sun to blow up 4 minutes later as Δt = 4 minutes in the frame. I want to find the frame where Δt = 0. Thus I need a time delation of 4 minutes...? The only thing I can think of in terms or equations is t' = γt and find V where t =1s and t' = 241s (4*60)But that gives me a V < C which I know isn't right. Can anyone suggest some equations or if my train of thought is wrong?
If the Sun blows up at some instant and four minutes later we on Earth sit down to eat lunch, these two events are separated by a spacelike interval. The explosion of the sun cannot have influenced us at the time we sat down because it takes 8 minutes for light to reach us from the Sun. Since the interval is spacelike there must be a reference frame in which the two events are simultaneous. Find the speed of this frame relative to the Sun-Earth rest frame.
My attempt:
So I know that two events spacelike, there is a frame where they happen simultaneously. This frame will have a velocity, v>c. In the above situation, for a person on Earth to experience sitting down and seeing the sun blow up at the same time, they either need to sit down 4 minutes later or for the sun to blow up 4 minutes later as Δt = 4 minutes in the frame. I want to find the frame where Δt = 0. Thus I need a time delation of 4 minutes...? The only thing I can think of in terms or equations is t' = γt and find V where t =1s and t' = 241s (4*60)But that gives me a V < C which I know isn't right. Can anyone suggest some equations or if my train of thought is wrong?