5
votes
Accepted
Throwing and catching a clock in general relativity
I think it is a bit messier than you would like. You cannot ignore the "Special Relativity part" because the time dilation caused by your launch speed will be of a similar order of magnitude ...
- 113k
5
votes
In the twin paradox or twins paradox what do the clocks of the twin and the distant star he visits show when he's at the star?
This is an example of the relativity of simultaneity. Let's suppose the distances and speeds are such that the journey takes exactly 10 years in the Earth frame and 12 hours in the ship frame.
When ...
- 19.7k
5
votes
In the twin paradox or twins paradox what do the clocks of the twin and the distant star he visits show when he's at the star?
This is a straightforward calculation. We assume the spaceship and Earth synchronise their clocks so the spaceship leaves at time zero for the 10 light year trip to Tralfamador, and the clocks on ...
- 334k
4
votes
If a clock is moved along a crooked path half as fast, and thus for twice as long, is the total time lost by the clock due to time dilation halved?
it would be convenient if there was a way to synchronize the clocks perfectly (or near as darn it)
The easier way is to equip the lattice clocks with radio transmitters and receivers and synchronize ...
- 68.8k
3
votes
Does mass affect time dilation?
For weak gravitational fields, which means anywhere that isn't near a black hole, the gravitational time dilation can be related to the gravitational potential energy by the equation:
$$ \frac{\tau}{...
- 334k
2
votes
Accepted
In the twins paradox of relativity, is this an accurate non-mathematical description of what happens in the the traveling twin's frame of reference?
I think your description of clocks 'jumping' is problematic, although the gist of what you suggest is broadly right if you put the jumping clocks aside.
In the explanation below, let's assume the ...
- 19.7k
2
votes
In the twins paradox of relativity, is this an accurate non-mathematical description of what happens in the the traveling twin's frame of reference?
Whether this (or anything) is accurate depends on the meanings you choose to assign to various words, but I do not recommend the meanings you are choosing.
There is no (orthogonal) frame in which any ...
- 12.7k
2
votes
How to explain this seeming paradox in how the Lorentz contraction, time desychronization, and time dilation fit together?
This question is related to your view that clocks 'jump' in the twin paradox- which is a misunderstanding. Observers on the rocket and the Earth disagree about when the star begins its journey.
...
- 19.7k
1
vote
Throwing and catching a clock in general relativity
I'm trying to create a function that shows the time on a clock B that's been thrown up from and caught in position A, with respect to the mass of the object it's on (the function would be TB(m)). ...
- 68.8k
1
vote
Accepted
Does atomic time slow down at faster speeds?
Will each asteroid have the same amount of uranium 238 after 10,000 Earth years?
No. Time dilation affects the rate of radioactive decay and other particle decay rates. This has been experimentally ...
- 35.5k
1
vote
Accepted
How can you calculate how long life will last with a regular run in terms of special relativity?
The scenario you describes has thousands of potential variables that might play a role in the outcome, such as the weather each day, the clothes John wears each day, the route he follows on each run. ...
- 19.7k
1
vote
How to explain this seeming paradox in how the Lorentz contraction, time desychronization, and time dilation fit together?
There is a star ten light years from earth, and at rest with respect to the earth. A rocket is passing the earth at 0.999999c. The clocks on the earth, star, and rocket all display "zero" at ...
- 5,115
1
vote
In the twin paradox or twins paradox what do the clocks of the twin and the distant star he visits show when he's at the star?
Some time ago I produced a series of animations of the "Twin Paradox" which show the view from the traveling twin, looking back at the starting point. There is a combined clock in the top ...
- 1,897
1
vote
In the twin paradox or twins paradox what do the clocks of the twin and the distant star he visits show when he's at the star?
In the following "clock" means a clock that is just under 10 light years away from earth, and said clock reads zero at the start of the journey, and it shows the number of years passed. And ...
- 1,655
1
vote
If a clock is moved along a crooked path half as fast, and thus for twice as long, is the total time lost by the clock due to time dilation halved?
If a clock is moved along a crooked path half as fast, and thus for twice as long, is the total time lost by the clock due to time dilation halved?
Yes, that is a correct approximation for slowly ...
- 1,655
1
vote
Confusion about Length Contraction (ex in Muon decay)
Useful to add maybe that the apperance of relativistically moving objects can be quite the opposite of length contraction. This is caused by Terrell rotation.
This answer is a substitute for a comment ...
- 192
Only top scored, non community-wiki answers of a minimum length are eligible