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-3 votes
2 answers
132 views

Time dilation and contradiction

Suppose we have a reference $R$ and a reference $R'$ with velocity $v \ne 0$ respect to $R$ then we know that: $$\Delta t = \gamma \Delta t'$$ but respect to $R'$ the reference $R$ has also velocity $...
asv's user avatar
  • 385
1 vote
2 answers
120 views

Time transformation term in Lorentz transformation

In the lorentz tranformation, I have got the following equation for time: $$t' = \dfrac{t - \dfrac{ux}{c^2}}{\sqrt{1-\dfrac{u^2}{c}}}$$ The $S'$ system is moving relative to $S$ system with speed $u$, ...
zjp's user avatar
  • 11
1 vote
2 answers
274 views

Time and speed of light in Relativity

Time running slower near a massive object, but the speed of light does not really change near a massive object, according to Relativity - it just curves. Is not time directly related to the speed of ...
Adelina Mitkova's user avatar
1 vote
1 answer
269 views

Does time dilation in a constant gravitational field depend on the choice of coordinates?

I am currently taking a course in general relativity and one of the homework problems for the course asks to justify the fact that time dilates in a constant gravitational field using the equivalence ...
Chandrahas's user avatar
  • 1,747
0 votes
2 answers
290 views

Understanding proper-time as "evenly spaced gradations" on the worldline?

In this video series on relativity, proper-time is explained as "evenly spaced gradations" along a particle's worldline. Here is a screenshot: Suppose I carry a clock with me that ticks at ...
jnez71's user avatar
  • 164
0 votes
2 answers
113 views

Time (or rather, $dt$) as a Vector? [duplicate]

I want to preface this by saying that I'm by no means experienced with the field of physics, but while on my commute this morning, I started thinking: Basically, I thought about time being a fourth ...
ByThePowerOfScience's user avatar
8 votes
3 answers
697 views

Can the Lorentz transformations be derived this way?

This approach is seeming intuitive to me as I can visualize what's going on at each step and there's not much complex math. But I'm not sure if I'm on the right track or if I'm making some mistakes. ...
Ryder Rude's user avatar
  • 6,355
1 vote
1 answer
821 views

Spacetime interval calculation - What am I doing wrong?

I'm calculating spacetime intervals in standard setup with frames A and B where t = t' = 0 and x = x' = 0, and all the motion is going only in x direction. Objects A and B move in relative velocity ...
user1316208's user avatar
6 votes
1 answer
311 views

Twin paradox with one twin in orbit, one in radial free-fall

Many questions on Physics SE relate to the twin paradox, but I did not find any that ask this specific question. Suppose that object A is in a circular orbit around a spherically symmetric, non-...
Chiral Anomaly's user avatar
4 votes
1 answer
794 views

Is this spacetime diagram for the twins paradox correct?

The link at question is here: http://www.einsteins-theory-of-relativity-4engineers.com/twin-paradox-graphical-solution.html My question in specific is the loop in Jim's worldline. I know that ...
Chance Cardona's user avatar
1 vote
2 answers
171 views

Synchronized Clocks in Inertial frame

Will the synchronized clocks placed in an inertial frame remain synchronized forever?
user143962's user avatar
5 votes
3 answers
2k views

Relationship between Coordinate Time and Proper Time

While I was reading Ta-Pei Cheng's book on relativity, I was unable to derive the correct relationship between coordinate time $dt$ (the book defined it as the time measured by a clock located at $r=\...
Taptic's user avatar
  • 51