Time dilation Definition and 999 Threads

In physics and relativity, time dilation is the difference in the elapsed time as measured by two clocks. It is either due to a relative velocity between them (special relativistic "kinetic" time dilation) or to a difference in gravitational potential between their locations (general relativistic gravitational time dilation). When unspecified, "time dilation" usually refers to the effect due to velocity.
After compensating for varying signal delays due to the changing distance between an observer and a moving clock (i.e. Doppler effect), the observer will measure the moving clock as ticking slower than a clock that is at rest in the observer's own reference frame. In addition, a clock that is close to a massive body (and which therefore is at lower gravitational potential) will record less elapsed time than a clock situated further from the said massive body (and which is at a higher gravitational potential).
These predictions of the theory of relativity have been repeatedly confirmed by experiment, and they are of practical concern, for instance in the operation of satellite navigation systems such as GPS and Galileo. Time dilation has also been the subject of science fiction works.

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  1. S

    Gravitational time dilation and escape velocity

    The time dilation caused by gravity on the surface of a planet is equal to the time dilation for an object moving at the planet's escape velocity in space. This can be proved using the Schwarzschild metric. GR doesn't explain why this is true. It seems to be an odd coincidence.
  2. T

    Time dilation in gravitational field

    A friend of mine posed the following conundrum: If you have 2 identical clocks one at the top and one at the bottom of a tower (on the earth), then for an observer at the top, the clock at the bottom appears to go more slowly than the clock next to him. This one can deduce from the redshift of...
  3. C

    Time dilation, reference frames

    Hi, Basic question. I'm confused by a time dilation example (37.3 in Young and Freedman 11th ed.). Mavis is moving at .600c relative to earth-bound Stanley, and at the instant she passes, both start timers. Part b asks "At the instant when Mavis reads .400 s on her timer, what does Stanley...
  4. D

    Time Dilation Explained: T=T(P)*γ Example

    Hello, can someone give me an explanation of the time dilation equation t=t(p)*γ? I know it's used to measure something about a difference in sense of time in different reference frames, but I don't know how to put it into context. Can someone give me an example where you would use the time...
  5. D

    Time Dilation Problem: Help Solve Light Beam Issue

    Hello all, I've been having trouble with this problem; can someone please help? The problem is: If a light beam is shot parallel to me, and I'm running at .7c in the same direction of the light, how much time passes in the light's reference frame (point of view) if I experienced (Earth's...
  6. D

    Time Dilation Equation: Clarifying Variables

    Hello, I've recently come across the equation for time dilation, which is t=t(p)*γ, which is t=t(p)*(1/√(v^2/c^2)). Can someone please clarify what each of these variables mean?
  7. DiracPool

    Can we really ever accurately test SR time dilation?

    The two most famous "tests" for the accuracy of time dilation in SR are 1) the plane that flew around the globe with the atomic clock, and 2) the muon experiments on the mountain. I'm assuming, of course, that all the experimental controls are correct and so are the results. My question is...
  8. Z

    Time Dilation Video Feed Experiment

    Time dilation As I've understood; two parties can experience time, or timespace, differently depending on each parties' • velocity • gravity A debate led to this question: ship A and ship B install livecams, each viewing both ships' livefeed on 2 screens*. Ship B launches away from...
  9. M

    Time Dilation Thought Experiment

    A ninja the size of solar system has a sword that could slice through something the size of the sun. For the purpose of the thought experiment let's imagine a black hole and the time dilation effects around it. Now take away the black hole but keep the time dilation. What would happen to the...
  10. 4

    Can you modify this quote regarding time dilation?

    The total speed of an object through the dimension of space and the dimension of time equals the speed of light. An object moving through space must subtract from its movement through time for the sum to remain at lightspeed. So an object at the speed of light has all its movement through space...
  11. ash64449

    Is this simple derivation of length contraction and time dilation corr

    well,i found this article and i find it simple to understand. But is this article totally correct? Here is the link:http://m.sparknotes.com/physics/specialrelativity/kinematics/section2.rhtml
  12. L

    Time Dilation: Exploring the Mechanism and Alternatives

    what is the exact mechanism by which time dilates for a fast moving object. Can the time dilation be explained by any other theory other than relativity.
  13. D

    Could Time Dilation be Caused by Increased Clock Energy?

    Im definitely not an expert in this field but i have a question. From what I've picked up time dilation can be observed when a clock has a velocity or moves away from the centre of Earth and it slows/speeds up. In both these cases the clock has more energy, be it potential or kinetic. Could this...
  14. W

    Speed of Light relation with time dilation

    Hello Want to know if constant speed of light is a result cause by time dilation? When your time slow down as you approach speed of light you take a longer time to measure light speed in your spaceship, there for you think speed of light relative to your current speed is still c? When one...
  15. C

    Understanding Time Dilation: A Confusing Experiment Explained

    I've seen an experiment with a light clock that explains time dilation. A photon is fired and gets reflected off of 2 parallel mirrors. It keeps bouncing back and forth like that, with each bounce qualifying as one tick of the clock. And it looks like that from a stationary reference frame. Now...
  16. A

    Time Dilation & Space Contraction: I'm Confused

    I'm confused. If t=γ*t0 and L0=γ*t how does the equation x=v*t hold for x0=v*t0, for constant velocity (Let t0 be the time in the stationary reference frame and t the moving frame, the same for length)? Then v would be equal to γ^2*v... Perhaps I'm missing something here.
  17. S

    Do you agree with my explanation of time dilation

    The increased contraction and shortening of space is causing dilation in the passing of time. In other words, increased relative velocity spreads two points in time further from each other. Please tell me I understand this correctly! I hope the Great Peter Donis will weigh in.
  18. A

    Time dilation and length contraction

    I've recently been thinking more about special relativity, and while I understand the Lorentz factor and how to apply it to find correct solutions, I'm still stuck on the link between the effects of length contraction and time dilation, are they permutation of the same thing from different...
  19. A

    Time dilation and length contraction

    I've recently been thinking more about special relativity, and while I understand the Lorentz factor and how to apply it to find correct solutions, I'm still stuck on the link between the effects of length contraction and time dilation, are they permutation of the same thing from different...
  20. A

    Hypothetical thought experiment about time dilation

    Let's say that you leave Earth at 75% the speed of light (c). You travel out and back for a minute. And when you come back an hour has passed on Earth. (I understand this is not accurate; I'm just using it for the sake of this hypothetical) You leave again at 99% of c, again for a minute. When...
  21. ash64449

    Still confusion in relativity of simultaneity and time dilation .

    Still confusion in relativity of simultaneity and time dilation... Hello friend, Still Something in my mind is saying that Relativity of simultaneity is the reason for time dilation even though i had some corrections in my understanding by posting various threads. Well,let me use Einstein's...
  22. B

    Is Gravitational Time Dilation Affected by Gravitational Potential?

    Could somebody explain me the following: According to GR time dilation due to gravitational field is expressed as: T_{g}=T_{f}*\sqrt{1-\frac{2GM}{rc^{2}}} where Tg is time with gravitation, Tf is time somewhere without gravitation G - gravitational constant M -...
  23. A

    Gravitational Time Dilation: Equation & Calculation

    Is this the right equation for calculating the gravitational time dilation? http://genesismission.4t.com/Physics/gtd.htm
  24. A

    Gravitational Time Dilation: Equation & Calculation

    Is this the right equation for calculating the time dilation? http://genesismission.4t.com/Physics/gtd.htm
  25. A

    Examples for gravitational time dilation

    Can you tell me examples for the gravitational time dilation and its answers?
  26. N

    Time dilation and lorentz transformation

    i have a quick question, that is according to the lorentz transformation, the moving frame will have the longer time than the frame in the rest. so is that means if I'm on a moving car for my whole life, my time will greater than those who are in the rest relative to the earth?
  27. S

    Time Dilation: Triplet Paradox makes no sense

    Triplets, three boys. Assume all this happens on the same day and at the same time. Boy A: leaves Earth in vessel going .9c in zig-zag directions for thirty days. Returns to earth. Boy B: leaves Earth in vessel going .9c but goes in straight line (15 days), turns around and returns to Earth...
  28. B

    Gravitational time dilation from the metric

    How does one go about finding what the gravitational time dilation is from the metric? Is it simply t'/t_0=1/\sqrt{g_{tt}}? It seems that could be true for static metrics, but perhaps not more dynamic ones like the Kerr metric. My confusion on this arises on how to treat the time cross terms...
  29. X

    Gravitational time dilation in the center of a mass

    Hi, I understand that according to general relativity the time dilation experienced due to gravity gets more significant the more you go down in a gravitational well, so the maximum should be at the center of the mass. But I can't really rhyme that idea with the idea that the time dilation has...
  30. E

    Do GPS Clocks Really Run Slower Than Earth Clocks Due to Time Dilation?

    I had such success with all your answers to my last SRT question here I’ll try another. The LT seems very symmetric. To the observers in each frame, the other’s clocks appear slower, etc. Is that true for out GPS satellites? If we ignore the GRT effect of speeding up their clocks, I think it is...
  31. V

    Time dilation and length contraction

    I am confused about these two concupiscences of the consistency of light. One of my books/notes says that time dilation and length contraction do not happen at the same time because they are 'the same thing' which kind of makes sense but the other says "when we reach relativistic velocities both...
  32. A

    Gravitational Time Dilation and Twin Paradox ?'s

    Disclaimer: I am relatively illiterate on the subject so please try to keep explanations generally understandable. Aerospace undergrad programs get zero exposure to relativity I suppose. [Gravitational Time Dilation] First I want to know if I am correct in saying that the gravitational...
  33. P

    Does the Starting Point Influence Time Dilation Observations?

    There is a spaceship moving close to c on a journey to a planet. The observer on the planet, sees through his telescope, that the clocks on the ship appear to be running slower than on the planet. The observer on the ship, sees the clocks on the planet appear to be running faster than on the...
  34. R

    Time Dilation in Spinning Cylinder Room: Can We Break the Speed of Light?

    In the spinning cylinder room example mentioned in relativity, where the nearest distance between 2 point is actually curved line.. and light take a straight pass right, which is farer than the curved line due to time dilation in the middle of the room due to a smaller acceleration than side of...
  35. C

    Can someone confirm that this is how time dilation works?

    I'm not sure if the way I understand it is correct or if it is slightly inaccurate, so I will just write it as I understand it and hope you can all my point out my errors. As I understand it, there are 4 dimensions. 3 of space and 1 of time (first question. Is time actually considered an extra...
  36. B

    Basic Special Relativity (Time Dilation)

    Homework Statement The Concorde traveled 8000km between two places with an average speed of 375 m/s. What is the time difference between two atomic clocks, one on the train and one at rest with respect to the train? Homework Equations T=AT' where A is the Lorentz gamma factor The...
  37. I

    Time Dilation: Can You Chase Something Too Fast?

    Forgive me if this has already been asked as I'm trying to understand this, but I can't seem to find the right info.. Basically, what I want to know is if it is possible to chase something so fast that you won't catch it due to time dilation. If an object is traveling at a low sublight speed...
  38. W

    Relativity problem solving help time dilation

    Relativity problem solving help! time dilation http://courses.physics.illinois.edu/phys225/sp2013/homework/225-hwk01.pdf Please click on the top link ^ to see the questions. I have already solved them and turned it in, however i would like to see how others would approach the questions and...
  39. L

    Will Two Synchronized Atomic Clocks Remain in Sync After One Year?

    Homework Statement Two atomic clocks are synchronized. One is placed on a satellite which orbits around the Earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many...
  40. A

    Time Dilation vs Differential Aging

    This topic is to clarify about related but possibly different terminologies. Based on a number of posts in the forum, including some in response to my posts, I am getting the feeling that there is a difference between the terminologies time dilation and differential aging, as stated below...
  41. A

    Calculating Time Dilation of a Rocket.

    Homework Statement The problem was asking to find the time dilation of a rocket traveling upwards at 100,000 m/s with the reference point being Earth for a duration of a day. Homework Equations 1/√(1-(β^2)) Δt = γΔt' The Attempt at a Solution I've calculating gamma to be...
  42. Y

    Gravitational time dilation and special relativity time dilation

    Looking at the two equations for time dilation they seem very similar $$t_{surface} = t_{space} \sqrt{1-\frac{2GM}{rc^2}}$$ $$t_{moving} = t_{observer}\sqrt{1-\frac{v^2}{c^2}}$$ I was hoping someone could explain more how they are connected? I'd like to think that a fast moving object...
  43. A

    Why is Time DILATION Called Time DILATION?

    I would like to know why it is called time DILATION and not time CONTRACTION?
  44. Buckethead

    Hafele and Keating time dilation question

    I'm sure the answer to this is obvious, but I'm at a loss. In the Hafele and Keating experiment where atomic clocks are flown east and west and compared to a stationary clock the eastbound clock lost 59 ns and the westbound clock gained 273 ns. My question is that if both eastbound and...
  45. A

    Physical explanation of velocity time dilation

    In SR, pure relative velocity between two observers causes a time dilation between them. It seems that if the two observers were at rest w.r.t. each other at some point in time, then the one who accelerates to achieve the relative velocity is the one who gets time dilation (i.e. comparatively...
  46. A

    Time Dilation & Length Contraction, Further Thoughts

    This is a very common topic especially regarding the apparent slowing down of time, the twins paradox etc. I have come across the figures for a muon and the relativistic effects that allow it to reach the Earth's surface despite its very short life. The relevant transforms show length...
  47. T

    Time dilation in relativity of simultaneity related to twin paradox

    Hi All, I think that I understand (as far as you can!) the ideas behind explaining why two twins have different ages if one travels at near light speed away for a time and then returns to his twin on Earth (the return journey changing the inertial reference frame). I have a related...
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