- #1
Stephanus
- 1,316
- 104
Dear PF Forum,
I have a tought experiment here.
I'm asking about twins paradox, but instead of using twins, I'm using clocks to lock them up in a closed room. Sort of Einstein elevator. (unlike Schrödinger, even in tought experiment, I can't imagine locking human being -- or cat -- in a closed room).
So, here is the experiment.
Two clocks are sealed inside a closed room. Clock E on earth, clock R in a rocket.
Both clock are reset, and the rocket is fired away with acceleration 10 m/s2.
Clock R practically 'feels' 1 g.
After 3 billions seconds (about 95 years) the rocket stops and turn around heading toward Earth and fired again with acceleration 10 m/s2.
Of course the speed when it reaches Earth would be about zero. The rocket actually deccelerates.
A. How far away does the rocket travel right before it turns around? Will it reach ½at2 = 45 thousand trillions KM? Actually after 1 year the rocket will travel 1 speed of light, after 10 years = 10 speeds of light?
I think the energy consumption is very big here. It's Newton's, right?
B.And this is my question.
How does the clocks run? Does clock E run faster, in twins paradox it would age faster, than clock R?
Both clocks are in a closed room. If they were twins, both twins would feel no different with the acceleration.
Clock E accelerates toward the center of the Earth in 1 g, the floor holds it up.
Clock R accelerates toward the floor of the room in a rocket, again 1 g.C. What about the twin who orbits the Earth in geostationary orbit.
Twin E accelerates 1 g, so it actually feels that it moves.
Twin O, in orbit, doesn't feel acceleration at all tough it travels 11 thousands KM per hour.
Which one ages faster.
Supposed both twins are in different rockets in space.
Twin E accelerates 1 g, and twin O's rocket's machine doesn't run. So twin O actually doesn't feel acceleration at all as in geostationary orbit. Will twin O ages slowlier?
Thanks for you enlightment.
Steven
I have a tought experiment here.
I'm asking about twins paradox, but instead of using twins, I'm using clocks to lock them up in a closed room. Sort of Einstein elevator. (unlike Schrödinger, even in tought experiment, I can't imagine locking human being -- or cat -- in a closed room).
So, here is the experiment.
Two clocks are sealed inside a closed room. Clock E on earth, clock R in a rocket.
Both clock are reset, and the rocket is fired away with acceleration 10 m/s2.
Clock R practically 'feels' 1 g.
After 3 billions seconds (about 95 years) the rocket stops and turn around heading toward Earth and fired again with acceleration 10 m/s2.
Of course the speed when it reaches Earth would be about zero. The rocket actually deccelerates.
A. How far away does the rocket travel right before it turns around? Will it reach ½at2 = 45 thousand trillions KM? Actually after 1 year the rocket will travel 1 speed of light, after 10 years = 10 speeds of light?
I think the energy consumption is very big here. It's Newton's, right?
B.And this is my question.
How does the clocks run? Does clock E run faster, in twins paradox it would age faster, than clock R?
Both clocks are in a closed room. If they were twins, both twins would feel no different with the acceleration.
Clock E accelerates toward the center of the Earth in 1 g, the floor holds it up.
Clock R accelerates toward the floor of the room in a rocket, again 1 g.C. What about the twin who orbits the Earth in geostationary orbit.
Twin E accelerates 1 g, so it actually feels that it moves.
Twin O, in orbit, doesn't feel acceleration at all tough it travels 11 thousands KM per hour.
Which one ages faster.
Supposed both twins are in different rockets in space.
Twin E accelerates 1 g, and twin O's rocket's machine doesn't run. So twin O actually doesn't feel acceleration at all as in geostationary orbit. Will twin O ages slowlier?
Thanks for you enlightment.
Steven