- #1
Stephanus
- 1,316
- 104
Dear PF Forum,
Can someone make it clear for me?
Perhaps I should ask a very simple question. Concerning just one direction.
The distance between Earth and Star T is 100 lys.
The clock is synchronized for A and B
And as PeterDonis pointed out at my previous thread.
B travels to star T at [itex]\sqrt{0.75}[/itex] c according to Lorentz transformation
This is the Lorentz Factor.
[itex]\frac{1}{\sqrt{1-\sqrt{0.75}^2}}[/itex] = [itex]\frac{1}{\sqrt{1-0.75}}[/itex] = [itex]\frac{1}{\sqrt{0.25}} [/itex] = [itex]\frac{1}{0.5}[/itex] = 2
According to A: B needs [itex]\frac{1}{\sqrt{0.75}}[/itex] to reach T or 115 years.
According to B: B needs [itex]\frac{1}{\sqrt{0.75}}[/itex] /2 to reach T or 57.75 years
Okay...
But motion is relative, right?
A would have tought that it's A who moves, B stays.
Or, please compare Pic 3
Why B experience time dilation, while A not?
Isn't motion relative?
Can someone make it clear for me?
Perhaps I should ask a very simple question. Concerning just one direction.
The distance between Earth and Star T is 100 lys.
The clock is synchronized for A and B
And as PeterDonis pointed out at my previous thread.
Which I believe 87% is an easy number. Since ##87\%^2## ≈ 0.75PeterDonis said:Rather than answer this question as you ask it...
Let's suppose, that B travels at 87% of the speed of light...
B travels to star T at [itex]\sqrt{0.75}[/itex] c according to Lorentz transformation
This is the Lorentz Factor.
[itex]\frac{1}{\sqrt{1-\sqrt{0.75}^2}}[/itex] = [itex]\frac{1}{\sqrt{1-0.75}}[/itex] = [itex]\frac{1}{\sqrt{0.25}} [/itex] = [itex]\frac{1}{0.5}[/itex] = 2
According to A: B needs [itex]\frac{1}{\sqrt{0.75}}[/itex] to reach T or 115 years.
According to B: B needs [itex]\frac{1}{\sqrt{0.75}}[/itex] /2 to reach T or 57.75 years
Okay...
But motion is relative, right?
A would have tought that it's A who moves, B stays.
Or, please compare Pic 3
Why B experience time dilation, while A not?
Isn't motion relative?