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. A

    Are length contraction and time dilation conventions?

    Since many authors call simultaneity between events a convention, and that under the specific set of rules we may choose a convention or a coordinate system relative to an IRF (or non-inertial) to describe space time, I wonder what's the relation between this and the effects of length...
  2. R

    Resolving the Twin Paradox: Clock Readings on Space Ships in Relative Motion

    This has bothered me for a long time. I understand that time varies with velocity relative to the observer. But what about this case -- Suppose we have 3 space ships: A, B, and C. They are spaced widely apart with B in the middle and A and C at opposite sides to B. A and C are moving towards...
  3. G

    Did I experience time dilation or something?

    So, I am learning about atomic clocks. I went to this website: http://tycho.usno.navy.mil/simpletime.html And I started watching the atomic clock on that website tick away. It was ok and cool. At the moment, the website is frozen with "Loading..." for each time zone. When I started...
  4. D

    Near black hole event horizon time dilation?

    Lets say we have a couple objects, one very close to a black hole, one a little farther out and then one a good distance away. Would the one very close to the black hole see the other ones time moving much quicker than their own time? How about just as they are going to hit the event horizon...
  5. NATURE.M

    Need Clarification for time dilation effects

    So basically, my physics class has begun focusing on SR. And i just wanted to clarify something. I have been referencing: http://physics.mq.edu.au/~jcresser/Phys378/LectureNotes/SpecialRelativityNotes.pdf On page 23, it states "A clock will be observed to run at its fastest when it is...
  6. A

    Time dilation, length contraction and relative simultaneity on Earth

    The three main effects of SR occur in inertial frames and change the description of space-time relative to a particular observer. My question here is how do these effects occur on Earth, since we know that motion on Earth is non-inertial. I know that we travel at small speeds and that we can't...
  7. T

    Time dilation, is this correct?

    I just watched a video that kind of warped my understanding of time dilation. It said that not only would time appear slow from the point of view of someone standing still looking into something going near the speed of light but if you were going near the speed of light things that are...
  8. A

    How Does Velocity Addition Impact Time Dilation in Rotating Objects?

    As I've red, different points on the rotating disk, or rotating object have different velocities and so they should time dilate differently. Points on equator are for instance quicker than those in Scandinavia. When we take an inertial frame that has zero velocity with respect to the Earth as a...
  9. rjbeery

    I GR as a Graded Time Dilation Field in Euclidean Space?

    The title says it all, really. Are we able to describe GR in terms of a Graded Time Dilation Field in Euclidean space? From http://cpl.iphy.ac.cn/EN/Y2008/V25/I5/1571 we can see that light curvature can be analogously described via a material with a graded index refraction, so my question is...
  10. W

    Derivation of formula for time dilation

    I know how to derive the lorentz time dilation equation. I am wondering how to derive the equation for gravitational time dilation: T=To(1/(sqrt(1-(2GM)/(Rc2)))
  11. O

    Find total E of muon using time dilation

    Homework Statement An Ω- particle has rest energy 1672 MeV and mean lifetime 8.2*1011 s. It is created and decays in a particle track detector and leaves a track 24 mm long. What is the total energy of the  particle? Homework Equations E=\frac{mc^2}{\sqrt{1-(\frac{v}{c})^2}}...
  12. S

    Confusion about time dilation and length contraction

    Hi all, I tried searching for this but failed to find an answer to my question. I am having an issue with properly interpreting the equations for time dilation and length contraction. Let's assume that I am standing still and a train is passing by next to me (moving with uniform velocity). Let...
  13. Buckethead

    Is acceleration the same as gravitational time dilation?

    It seems that time dilation does not occur due to acceleration alone. It surprised me to learn this due to the equivalence principle as I was under the impression that one could not experimentally know the difference between being accelerated in space and being at rest in a gravitational field...
  14. C

    Time Dilation: An Overview of an Experiment

    Hello, It is my understanding that in the case of two observers (A and B) passing each other at high speeds that due to time dilation observer A would be moving in slow motion with respect to observer B, whereas observer B would be moving in slow motion relative to observer A (i.e. each...
  15. G

    Uncovering the Mystery of Time Dilation in Mechanical Watches

    I am currently taking an undergraduate modern physics course that offers a brief overview of relativity. Let us consider a scenario where we have one clock on Earth in a rest frame, and one clock traveling in space at a constant speed v. we have some sort of mechanism for viewing the traveling...
  16. R

    Trying to understand time dilation better

    I'm only an amateur enthusiast when it comes to physics and have no background in science at all. It's just something I enjoy thinking about. One thing I am really finding difficult to get my head around is how time dilation works. So I've put a thought experiment below and would appreciate it...
  17. R

    Time Dilation Observed in Relative Frames: A Simple Question

    There are only two frame moving relative with each other at certain velocity. One frame see the other going right and the other to the left. Isn't it contradict that each see the other time running slow and both are correct? And this isn't the case , where one twin leave Earth and each see...
  18. S

    Time dilation on fast massive objects

    The popular thought experiment states, that if of two identical twins one is left on Earth an the other is embarked on a spaceship and sent into open space at near-c velocity, time for the traveling one will pass slower than for the one left on earth, due to the speed. On the other hand, time...
  19. M

    How Does Time Dilation Affect Pion Decay in Particle Physics?

    The proper mean lifetime of ##\pi## mesons(pion) is ##2.6x10^{-8}s##. Suppose a beam of such particles has a speed of .9c. a) What would their mean life be as measured in the lab? b) How far would they travel(on average)before they decay? c)What would your answer be to part (b) if you...
  20. M

    Time Dilation and Length Contraction

    I had a quick question about Time Dilation and Length Contraction. Are the two just different ways of measuring/describing the same effect? Or rather they both follow as a consequence from one another? i.e. I can find how much a length is contracted by finding the dilated time interval and...
  21. V

    Is there a known parametrization for time dilation in the FLRW metric?

    Hi, could anyone help me out? The FLRW metric in spherical coordinates is: \;\; ds2 = dt2 - a(t)2(dr2 + r2dΩ2) \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; (1) I am considering a similar metric of the format: \;\; ds2 = \frac{1}{a(t')^{2}}dt'2 - a(t')2(dr2 + r2dΩ2)...
  22. C

    Time Dilation: Current vs Massless Universe

    Disclaimer: I have no formal education in physics. I watched a TedTalk http://www.tedxamsterdam.com/video-wubbo-ockels-on-time-and-gravity/ and it got me thinking. Dangerous, I know. As I understand both velocity and gravity have an effect on our perception of time. How much does our...
  23. GeorgeDishman

    Gravitational time dilation for a spherical body of finite radius

    I am considering the gravitational time dilation at the centre of a spherical, non-rotating body (such as the Earth). The usual formula for gravitational time dilation is √(1-r_s/r) where r_s is the Schwarzschild Radius and r is the radius of the clock compared to one at infinity, however, this...
  24. H

    Understanding the Twin Paradox in Time Dilation

    Hello! I am currently learning the theory of relativity, but have a hard time understanding the time dilation concept. In my example down here, the subscript “A” will be used to denote “in the frame of reference of observer A”; the subscript “B” will be used to denote “in the frame of...
  25. S

    Time dilation to go a specific distance

    Traveling on a spaceship to Alpha Centauri A, 4.37 light years away, at a velocity of 0.92 c, if you just calculate the time by dividing the distance by the velocity: t = \frac{d}{v} = 1.496 x 10^8 sec = 4.74 years Is this the time from the Earth reference frame? Then the time on the spaceship...
  26. N

    Time Dilation Effects of Hypothetical Zero Gravity Pocket

    If you could create a small space on Earth in which a person could fit that was totally unaffected by gravity, or that was sheltered from the gravitational affects of external sources of gravity, what sort of affect on time dilation would be observed? Both for the person in the pocket, and for...
  27. S

    Time dilation and uniform circular motion

    Hi, I've taken a course in SR and studied GR on my own, but I do not know how to solve problems of this type. This is just purely for fun, not homework related at all. A particle of mass m is moving on a circle of radius R at constant linear velocity v = .8c. If the particle makes N...
  28. B

    What is the use of time dilation.

    I mean the application,such as because of the time dilation, humans can observe some particles which don't have long lifetime,and know it
  29. S

    Lorentz Transformation and Time Dilation

    I've managed to confuse myself and don't understand the difference between the formula for Lorentz time transformation (t'=γ(t-vx/c^2) and the time dilation equation t'=γ(t_proper) As I understand, proper time is difference between two events that happen in same place in a given reference...
  30. Y

    Combining gravitational time dilation components.

    Consider a sphere with outer radius r2 and a centred inner cavity of radius r1, forming a constant density shell with density p. Let's say the time dilation on a clock on the inner surface of the shell is ta. Now the shell with filled with a material of the same constant density as the shell...
  31. S

    Correct definition of time dilation

    Can someone give me the correct definition of time dilation(or explain it in such a way that it can be used to tackle any problem)?? What i believe now is "a moving clock ticks more slowly than a clock at rest"..but according to me this is inadequate because there can be two situations...
  32. P

    Does Gravity Affect How Long You Live?

    Here is another question As far as I know, gravity slows time...So it would be true that a person who lives in for example the moon would live less than a person who lives on earth? Or a person who lives on 25th floor lives longer than a person who lives in basement? Of course the difference...
  33. B

    Infinite Time Dilation at the Surface of a Black Hole?

    I've never fully understood how anything can actually fall into a black hole without the black hole evaporating first. Since time dilates exponentially as I fall into a black hole, a point will come where a few seconds for me will be millions of years in the outside world...trillions in fact...
  34. C

    When to use lorentz transformations vs time dilation?

    I don't understand when I should use the Lorentz transformation versus time dilation or length contraction. I found this: http://www.phas.ubc.ca/~mav/p200/lttips.html but it's still unclear to me... "Length contraction applies when you are talking about a distance that is independent...
  35. D

    Special relativity and time dilation

    I was just looking for a basic explanation of special relativity in relation to an object with mass accelerating towards the speed of light. And with reference too time dilation can v and c be referred too as a percentage or decimal depending on the units in the equation used?? Many Thanks
  36. C

    Why is this incorrect (special relativity time dilation)

    Homework Statement Anna is on a railroad flatcar moving at 0.6c relative to Bob. (Their clocks read zero as Anna's center of mass passes Bob's) Anna's arm is outstretched in the direction the flatcar moves, and in her hand a flashbulb. When the flashbulb goes off, the reading on Anna's clock...
  37. I

    Does Time Dilation Affect Daily Airline Travel?

    Hello I have some doubts about this problem which I have attached. If we assume that both the clocks are started at the time the airliner goes for a trip, then for an observer on the airliner, when the airliner comes back to the New York, the time interval would be a proper time interval...
  38. F

    Need help with time dilation and length contraction.

    Can anyone help me with this thought experiment. I have a spaceship moving at very close to the speed of light. Inside are the captain and two crew members. The captain is positioned at the front of the spaceship with a clock and a light. One crew member is positioned at the back of the...
  39. S

    Time dilation and length contraction

    can both time dilation and length contraction occur for the same observer? i don't think it is possible since then c=reduced length/increased time which is impossible(since c is constant)... Am i wrong?
  40. F

    Time Dilation of Particles A & B in Gravitational Field

    Hi, may I ask you about a help (or where to find proper study materials)? I have two particles - A and B. A is moving at constant velocity in a gravitational field with constant acceleration (due to gravity). B is moving on spiral trajectory at accelerated velocity in a gravitational...
  41. DHF

    Traveling at the speed of light and time dilation

    hey guys, I need some tech support for a spaceship in a story that is currently in the works :) Assuming the characters could get their ship up to the speed up light in real space (no hyper drive or warp drives) What would the effects of time dilation be on the crew? Time slows down as you...
  42. rogerk8

    Gravitational time dilation reason

    Hi! I am really bad at physics so bear with me... I saw some very interesting 3 hour physics-marathon on TV the other day. I have never gotten an actual clue on how things work relativisticly even though I've read a book by Brian Greene some years ago. Since then I have tried to...
  43. P

    Question about the x term in time dilation

    When I first learned time dilation I was given this equation proven using the light clock example. t = γt' However, when I looked into the topic in more detail, I was given this equation. t = γ(t' + xv/c2) If x represents the distance between 2 frames, then does x have to change...
  44. J

    Is Cosmological Time Dilation real?

    The cosmological redshift can be understood in terms of time dilation. In an expanding Universe light travels on a null-geodesic (ds=0) so that: dr = \frac{c\ dt}{a(t)}, where dr is an element of co-moving distance along its path, dt is an element of time and a(t) is the Universal scaling...
  45. S

    Time dilation effects on a human being

    Hello everyone, long time lurker first time poster here. I've been wondering for a while about this: Let's suppose a newborn baby is placed in a spaceship capable of traveling at 0.95c. The baby travels from Earth to a (theoretical) planet 95 light-years away which is at rest relative to...
  46. D

    Need help in a time dilation question (high school)

    So basically I am in high school and have done my major exam for the end of the year. It was a good test except for one question that i got totally stumped on. The question said that a planet was 6.7 light years away from earth. A spacecraft has a maximum speed of 0.9c, how long would a clock on...
  47. A

    Seeking clarification of time dilation

    "Since we are always at rest with respect to ourselves, ignoring the effects of acceleration, our lifetime, as measured by us, will always appear shorter than it appears to others. To others our clocks will seem to run slow. But we will die, alas, on the cue of the internal timer that travels...
  48. 7

    Homework - time dilation problem (Lorenz factor is unknown)

    Homework Statement Alpha Centauri is ##4.4## light years away from Earth. What speed ##u## would a spaceship headed towards Alpha centauri had to have in order to last ##t' = 10## years for a passanger onboard? Homework Equations I know equations for time dilation, length contraction...
  49. S

    More on gravitational time dilation and escape velocity.

    First, thanks for all the replies to the first post. I was able to predict this result (an engineer did the proof) using an analogy for gravitation I worked out to replace the standard marble rolling on a rubber sheet analogy used to show the effect of curved space time, which is useless on a...
  50. 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.
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