10
votes
Does the twin paradox hold in a universe that's empty except for the twins?
According to both special and general relativity, the amount of proper time between given events is path-dependent.
If one invokes a hypothetical universe with only two things in it then there are two ...
- 61.8k
10
votes
Does the twin paradox hold in a universe that's empty except for the twins?
If the "twins" are actually point particles with no internal structure, and there is nothing else in the universe, then the twin paradox might be inconclusive -- but in this case the twins ...
- 10.7k
9
votes
How does time dilation affect the synchronization of clocks in different gravitational potentials?
This is one rare case where relativity works exactly the way it would seem to. High-altitude clocks appear, from the ground, to tick faster, while low-altitude clocks appear, from the sky, to tick ...
- 3,392
8
votes
Does the twin paradox hold in a universe that's empty except for the twins?
Short answer: it is inconclusive. Now the long answer.
The questions
Does the twin paradox hold in a universe that's empty except for the twins?
and later
Is Shadowitz mistaken?
are sort of ...
- 23k
6
votes
How does time dilation affect the synchronization of clocks in different gravitational potentials?
When at rest in a quasistatic gravitational field, a clock at a location whose gravitational potential is higher by $\Delta\Phi$ ticks faster by a factor $1 + c^{-2}\Delta\Phi$ to lowest order. For ...
- 4,059
5
votes
Accepted
Gravitational time dilation – clock falling to event horizon
Since you're asking what the clock itself will show, if you fall from rest the proper time $\rm \tau$ from $\rm r_0$ to $\rm r$ is the same as under Newton since in this case $\rm d^2r/d\tau^2=-GM/r^2$...
- 13k
3
votes
Why Gravitational Time Dilation Equals SR Time Dilation for Objects Free-Falling from Infinity?
why do these two different mechanisms produce the same time dilation factor in this scenario?
Well, you are making an assumption here, and I recommend you let go of that assumption. Do not assume ...
- 22.6k
2
votes
Does the twin paradox hold in a universe that's empty except for the twins?
Of course it does. SR does not depend on the contents of the universe, only the motion of the 2 twins.
- 31
2
votes
How does time dilation affect the synchronization of clocks in different gravitational potentials?
How does time dilation affect the synchronization of clocks in
different gravitational potentials, as described by the general theory
of relativity?
Clocks at different gravitational potentials ...
- 10.1k
1
vote
Net Time Dilation for a Free-Falling Object as Seen from Infinity
nir asked: "For an object freely falling from rest at infinity down to radius $r$, does the gravitational and velocity time dilation double up, or do they somehow cancel?"
From the ...
- 13k
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