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Here, I'm not talking about the twin paradox in which one of the observer's frame gets accelerated. I'm talking about the case in which they just move relative to each other without accelerating. I'm having some confusion. Please tell me where I'm wrong:
1.There are two people, Dick and Jane on Earth. Dick goes on space travel on a spacecraft which moves with a velocity 0.8c relative to Earth.
2. He leaves when both their clocks read 07:00 AM, and Dick takes one clock along with him. Both of them have telescopes by which they can observe the time elapsed on another clock. When the time is 07:05 AM on Dick's clock, he views Jane's clock from his telescope and sees that it is reading 07:03 AM.
3. So, when Jane's clock reads 07:03 AM, Dick's clock reads 07:05 AM.
4. So, if Jane views Dick's clock from her telescope when her clock reads 07:03 AM, she should see 07:05 AM on Dick's telescope.
5. But Dick is also moving at 0.8c for Jane, so by applying time dilation formula, so when Jane's clock reads 07:03 AM, i.e. 3 minutes have passed on her clock, only 1.8 minutes should pass on Dick's clock, so she should see 07:1.8 AM on Dick's clock.
6. So, when Jane's clock reads 07:03 AM, Dick's clock reads 07:1.8 AM. But this contradicts my third point.
Please explain this to me. Thanks.
1.There are two people, Dick and Jane on Earth. Dick goes on space travel on a spacecraft which moves with a velocity 0.8c relative to Earth.
2. He leaves when both their clocks read 07:00 AM, and Dick takes one clock along with him. Both of them have telescopes by which they can observe the time elapsed on another clock. When the time is 07:05 AM on Dick's clock, he views Jane's clock from his telescope and sees that it is reading 07:03 AM.
3. So, when Jane's clock reads 07:03 AM, Dick's clock reads 07:05 AM.
4. So, if Jane views Dick's clock from her telescope when her clock reads 07:03 AM, she should see 07:05 AM on Dick's telescope.
5. But Dick is also moving at 0.8c for Jane, so by applying time dilation formula, so when Jane's clock reads 07:03 AM, i.e. 3 minutes have passed on her clock, only 1.8 minutes should pass on Dick's clock, so she should see 07:1.8 AM on Dick's clock.
6. So, when Jane's clock reads 07:03 AM, Dick's clock reads 07:1.8 AM. But this contradicts my third point.
Please explain this to me. Thanks.