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. F

    I Reconciling two observers in two frames

    I am not a physicist—not even close—just a guy who, for some crazy reason, decided to try to understand some of the basics of relativity. I’d like to understand them well enough to be able to explain them (correctly) to another lay person. I’m trying to see how much I could explain without...
  2. B

    I Differential equation from derivative of time dilation

    Hi all! I was messing around with the equation for time dilation. What I wanted to do was see how the time of a moving observer ##t'## changed with respect to the time of a stationary observer ##t##. So I differentiated the equation for time dilation ##t'## with respect to ##t##: $$\frac {dt'}...
  3. F

    I Can Black Holes Transport Mass Back in Time?

    According to Einstien's theory of evolution, the closer to the speed of light that an object travels, the slower it appears to move to an outside observer. (see https://www.thenakedscientists.com/forum/index.php?topic=40951.0) To take this to the next step once an object crosses the event...
  4. P

    I Gravitational time dilation - acceleration vs potential

    What I know gravitational time dilation (based on GRT) is dependent on gravity potential and not on gravitational acceleration. That would mean, that for example in center of Earth is the gravitational acceleration zero, but the gravitational potential is bigger than on the surface of Earth...
  5. S

    I C Speed, Gravitational Time Dilation & 4-Velocity

    Hi 1-)If an object's total velocity through space-time(four-velocity)is c, for example even we stand still we move with velocity c (through time) and if mass slows down time, can we say mass also increase our velocity in space? 2-) Is Four-velocity magnitude constant in General Relativity...
  6. S

    I Time Dilation: Does Gravitational Field Strength Matter?

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  7. M

    I SR Time Dilation in Rigid Structure Clocks

    Special relativity says that all clocks will show same time dilation, irrespective of clock mechanism. But Time period of a clock is a formula that must continue to hold even if time dilates. Let us look at a tuning fork clock. Here time period depends on the dimensions of the vibrating...
  8. U

    I How does gravitational time dilation work?

    I understand time dilation due to speed, but am confused on why time dilates depending on the distance from a mass. Help?
  9. S

    A General relativity: time dilation and speed of light

    Hello everyone, I'll go straight to the question. The gravitational time dilation is equal to tearth = tspace*sqrt(1 - rs/r), with rs = 2GM/c2. However, the formula for speed of light in gravitational field is equal to v = c(1 - rs/r). My intuition tells me that these two formulas must be the...
  10. G

    Time Dilation for Moving Rectangle with Clocks at its Corner

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  11. C

    Does Time Dilation Affect Synchronized Clocks in Different Frames?

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

    Frames of Reference and Time Dilation

    Homework Statement Imagine that you are flying on an airliner on a long flight to Europe, at a constant speed of 300 m/s. a) You throw a ball towards the back of the plane at 20 m/s. You then shine a beam of light towards the back of the plane. How will these two things—the ball and the...
  13. Jan Nebec

    B Is it Possible to Know Which Object is Moving? Special Theory of Relativity

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  14. wolram

    B Lack of time dilation in type 1a supernova

    Here is one for every one to pull apart, it goes beyond every thing I have learnt. arXiv:1804.10274 [pdf, other] Lack of time dilation in type Ia supernovae and Gamma-Ray Bursts David F. Crawford Comments: 4 pages, 2 figures and 1 table Subjects: High Energy Astrophysical Phenomena...
  15. aatari

    Time Dilation - Darth Vader's age

    Can someone kindly review my solution to see if I did it correctly. This is an assignment question. Homework Statement If Darth Vader was 50 years old when he left his galaxy in 2007, how old would he be if he returned in 2025 if he had traveled at a rate of 2.8 × 108 m/s? Homework Equations...
  16. Craftek_Ana

    B Traveling to Mars and time dilation

    If/when we go to Mars how will we deal with time dilation due to the gravitational differences between the two planets?
  17. M

    B Time Dilation: "Did I Use Formula Correctly?

    Hi, We are not learning this in class, but I am giving a presentation on special relativity and as part of my presentation I would like to show that time is not absolute and that if a ship moves away from the Earth for a time t at a speed v then if like 8 years pass on board the ship a greater...
  18. P

    I Time dilation vs the Equivalence principle

    Some time ago there was a similar thread https://www.physicsforums.com/threads/clock-hypothesis-gravity-time-dilation-and-equivalence-principle.929838/ but what I want to discuss is similar but not the same and I would like to specify my question in such way, that it hopefully won't go sideways...
  19. Physics345

    Frame of reference/ time dilation

    Homework Statement Imagine that you are flying on an airliner on a long flight to Europe, at a constant speed of 300 m/s. a) You throw a ball towards the back of the plane at 20 m/s. You then shine a beam of light towards the back of the plane. How will these two things-the ball and the...
  20. Physics345

    Time Dilation & 2 Atomic Clocks (one in orbit)

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

    B Relative speed and time dilation

    1. If A is static and B is moving away from A at velocity v, from Einsteinian point of view, is A also moving away from B at the same velocity? If yes, is the similarity of movements and velocities of both A and B valid in every context? If B is experiencing a time dilation from the view point...
  22. A

    B How can I derive the law of composition of velocities?

    How can I derive mathematically law of composition of velocities from time dilation and length contraction But please use only algebra .Don't use four vectors and space time diagrams.
  23. Y

    I Interstellar Travel Without Propulsion or Time Dilation

    I hope this is the right forum for this question. Imagine alien tech allows them to travel 1 million light years to Earth instantaneously. No thrust, vector, propulsion was involved. They didn't have to approach the speed of light, with its attendant increase in mass. Having arrived at earth, in...
  24. A

    How Does Relativity Affect the Measured Distance Between Cities at High Speeds?

    Homework Statement A man is flying with a speed of 0.7c and at a height 1 km. During his flight, he measures the distance between Toronto and Montreal to be 450 km. What is the real distance between them. I don't think the answers are based on real life, they are just examples of places...
  25. J

    B Speed of Light & Time Dilation: Travel Distance in 1 Sec?

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  26. DC0

    I How much time dilation is there within a contracting remnant

    Relative to a remote point, when using the standard GR method, how does the rate of time passage (1 / gravitational time dilation) typically vary with radius within a contracting 5 solar mass supernova remnant, when its’ outer radius crosses a value of about 1.6 times the Schwarzschild radius?
  27. Ranku

    I Length Contraction & Mass Increase in GR | General Relativity

    In special relativity, an object moving at higher speed experiences time dilation, length contraction, and mass increase, compared to an object moving at slower speed. In general relativity, for an object in stronger gravitational field (i.e., with higher acceleration due to gravity), time runs...
  28. M

    I Understanding Time Dilation and Velocity: Debunking Common Misconceptions

    Hello. I have a question. If I am moving with velocity v for an observer O. If I experience and kind if time dilation and my time slows down with respect to observer O's time. But if my time slows down. For O I will be moving slowly in time. If time dilation is large enough. I will almost freeze...
  29. G

    B Why do clocks experience time dilation in special and general relativity?

    I understand time dilation in both special and general relativity in terms of motion, ie. an object in a gravitational field will move slower than an object outside the field, as the spacetime causes the object in the field to take a longer path to the same destination. Same goes for two objects...
  30. M

    I Atomic Oscillations & Redshift in Sun and Earth

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  31. T

    Light Signal Travels Between Earth and a Spaceship

    Hi All, An observer, F, stands on Earth. A spaceship, F', is also on Earth. Their clocks are set at 0. The spaceship then leaves Earth at .5c. After 10 seconds, F sends a light signal to F'. As soon as F' receives the signal, F' sends a light signal back. When does F receive this signal from...
  32. K

    Length contraction and time dilation in relativity

    Homework Statement A graduate student discovers that an elementary particle produced in his experiment travels 0.250 mm through the lab at a speed of 0.950c before it decays (becomes another particle). What is the lifetime of the particle measured in its rest frame (proper lifetime). A) 8.77 x...
  33. M

    B Time Dilation & Length Contraction: Does Relativity Work for Mediums?

    Hello I am new here and I am just Junior college student. So please use simpler terms. I need to know that does relativity work for mediums like air and water. I mean the equations of time dilation and length contraction, do they work for other mediums. If so shall I take C as the speed of light...
  34. W

    B Could time move inside a black hole?

    At the event horizon for a black hole is R=2GM/C^2 This means that, as a star collapses, it gets more dense until this limit is reached. Assuming a consistent density (just an approximation as I know this will not really be the case), the Mass will reduce proportionally to the cube of R, but...
  35. R

    B Time dilation and 2 identical clocks

    Hi Couldnt figure this out U have 2 identical clocks where a pulse of light goes from a light source (a), reflects off a mirror (b) and goes to the end (c) A person is stationary wrt one clock and another clock is in a spaceship moving, relative to the observer, in the direction v at velocity...
  36. erik giles

    Light-clock and time dilation [was: Hydrogen atom expressed mathematically]

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  37. Junkwargo

    I Time Dilation: Get Answers to Your Questions

    Hi, I've always had a doubt concerning time dilation, and today the curiosity got the best and I decided to ask people that know their stuff, you people. Maybe the question has been asked before, but I did a quick search and couldn't find it, sorry if that's the case. Well, here it goes. As I...
  38. S

    I Time Dilation and photodetectors

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  39. E

    B Is Time Dilation Explained by Special Relativity, General Relativity, or Both?

    Is time dilation defined by Special Relativity, General Relativity or both? The topic of time dilation seems to come up often. So I thought I would pose a question, and give my summary and conclusions. I've recently been struggling to understand time dilation. While researching this topic l...
  40. E

    I Time dilation again, Einstein or Resnick?

    I continue to see references to time dilation that I don’t understand. Maybe the bluntest one is in a textbook by Resnick. Introduction to Special Relativity, p. 93: “Indeed we find that the phenomena are reciprocal. That is, just as A’s clock seems to B to run slow, so does B’s clock seem to...
  41. ISamson

    B Can Time Dilation Affect the Mechanical Functioning of a Clock in Orbit?

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  42. D

    Time Dilation and Length Contraction Problem

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  43. F

    I Demonstration of time dilation

    I try to find the formula of dilation of time between a reference frame (R') moving at a speed v and a fixed observer in (R). For this, I take the example that we often find as a demo : that of a train in which a light beam is emitted vertically (in the train): this vertical trajectory in the...
  44. B

    I Clock hypothesis, gravity time dilation and Equivalence Principle

    1. The Clock Hypothesis states that the rate of a clock does not depend on its acceleration but only on its instantaneous velocity. This has been experimentally verified at very high accelerations. 2. A clock in a gravitational field experiences time dilation and runs slower that one not in a...
  45. M

    B How does time behave in overlapping gravitational fields?

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  46. C

    B The "why" behind time dilation

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  47. H

    I Gravitational time dilation in Weinberg's "Cosmology"

    I have a question about the gravitational time dilation explained in Appendix B of the book "Cosmology" written by S. Weinberg. Why can the author say "In the negative gravitational potential at the surface of a star clocks therefore tick more slowly than in interstellar space, or in the much...
  48. E

    I Mechanical clocks and time dilation

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  49. P

    I Does the *First Postulate* Prohibit different time dilations?

    For example, Brian Greene says in The Elegant Universe regarding special relativity and train moving with constant velocity relative to platform: By the principle of relativity or first postulate, "there is no way for an observer on this train to detect any influence of the train's motion. But...
  50. A

    Time Dilation, calculate the age of the returning astronaut

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