Spaceship with eigen-length l moves with the constant speed v in the policy x1 axis in the reference system S.
When the front-end of the spaceship passes by the origin (starting point) S,
Time is stationary in the front-end of the spaceship synchronized time which is stationary in the origin S and both shows 0. In this time, it sends light-mark from front-end of the spaceship to back-end of the spaceship.
i) when comes light-mark in back-end accoring to the time of the spaceship?
ii) when comes light-mark in back-end accoring to time S?
iii) In what time, accoring to the time S, back-end of the spaceship passes by origin?
When the front-end of the spaceship passes by the origin (starting point) S,
Time is stationary in the front-end of the spaceship synchronized time which is stationary in the origin S and both shows 0. In this time, it sends light-mark from front-end of the spaceship to back-end of the spaceship.
i) when comes light-mark in back-end accoring to the time of the spaceship?
ii) when comes light-mark in back-end accoring to time S?
iii) In what time, accoring to the time S, back-end of the spaceship passes by origin?
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i) dt = L/C; where L = eigen length and C is light speed in a vacuum (invariant between frames) dt is ship's time as seen on board. Normal time and normal length on board.
ii) dT = dt/sqrt(1 - (V/C)^2) is the comparable time in S frame. V = v.
iii) T = L sqrt(1 - (V/C)^2)/V is the time re S it takes for the ship to travel its compacted length l = L sqrt(1 - (V/C)^2).
"eigen" length. Hadn't heard that term before, but having taught matrix algebra with all its eigen (natural) values it can see how it fits.
ii) dT = dt/sqrt(1 - (V/C)^2) is the comparable time in S frame. V = v.
iii) T = L sqrt(1 - (V/C)^2)/V is the time re S it takes for the ship to travel its compacted length l = L sqrt(1 - (V/C)^2).
"eigen" length. Hadn't heard that term before, but having taught matrix algebra with all its eigen (natural) values it can see how it fits.