A & B's Time Paradox: A Space-Time Conundrum

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SUMMARY

The discussion centers on the Twin Paradox, illustrating the time dilation experienced by two observers, A and B, due to differing frames of reference. When A, traveling in a spaceship, measures 30 seconds on his clock, he observes 40 seconds on B's clock on Earth, highlighting the non-intuitive nature of time in relativity. The paradox arises from A's need to accelerate, which shifts his frame of reference to non-inertial, and the requirement for A to return to B to synchronize their clocks again. This scenario emphasizes the complexities of time measurement in special relativity.

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  • Familiarity with time dilation concepts
  • Knowledge of inertial vs. non-inertial frames of reference
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anantchowdhary
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Suppose A travels in a spaceship and B is on earth. At the time of launch they both synchronise their clocks. When 30 secs have passed by in A's clock he reads the time in B's clock to be 40 secs.But when 30 secs have passed in B's clock A's clock shows 40 seconds. Isn't this a contradiction to the first statement itself ?
 
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anantchowdhary said:
Suppose A travels in a spaceship and B is on earth. At the time of launch they both synchronise their clocks. When 30 secs have passed by in A's clock he reads the time in B's clock to be 40 secs.But when 30 secs have passed in B's clock A's clock shows 40 seconds. Isn't this a contradiction to the first statement itself ?
It's not nearly as simple as that.

1] In order to travel anywhere, A has to accelerate, this changes his frame of reference to non-inertial.
2] In order to read each others' clocks, A must return to B, changing his frame of reference again.

You want to Google The Twin Paradox.
 
anantchowdhary said:
When 30 secs have passed by in A's clock he reads the time in B's clock to be 40 secs.

He can't just instantaneously read B's clock. The best he can do is to have B send him a signal at the speed of light.
 

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