Dilation Definition and 1000 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. V

    B Time Dilation: Traveling to a Distant Star in 4.5yr

    If there is a spaceship traveling at 0.999c, the time to reach a star 100 lyr away would be approx 100 yr (assuming no accel and decel). But on the spaceship, It would be 100 yr * sqrt(1-0.999^2) = 4.5yr. Why do we take 100 yr as the time seen on Earth and not the time on the spaceship?
  2. M

    I Does time dilation occur due to the speed limit of light or c?

    The universal speed limit is c, and as a consequence light is confined to that limit. I was thinking about the time dilation in SR and was wondering if this is result of reaching speeds close to the speed of light or because of reaching speed close to c? For example, let's say light could be...
  3. M

    I Time Dilation in Gravitational Fields vs Acceleration on Earth

    If I'm standing on Earth, is my time dilation actually greater than if I was in a rocket accelerating at 9.8m/s^2 in deep space due to me being in a gravitational field on top of the acceleration? Geodesics experience time dilation in gravitational fields, so it seems like there is an additive...
  4. L

    I Time Dilation: Variables Beyond Speed & Gravity?

    Can time dilation vary without a gravity well or accelerating a viewer towards light speed? Are there other variables that affect the flow of time?
  5. N

    Time dilation for a simple problem — Light propagating inside a moving bus

    So I drew the problem and tried to derive t1 for an external observer by making the following assumptions. Inside observer sees light travel a distance of d0 meters in t0 seconds at a speed of c m/s. Bus moved Δd meters in t1 seconds at V m/s. Outside observer sees light travel a distance of...
  6. AdvaitDhingra

    B Time Dilation: Does Observer See Your Time Speed Up?

    If time slows down for an observer traveling at some speed relative to your proper time, shouldn't the traveling observer also see your time slow down relative to his proper time? Or does the observer see your time speed up relative to his proper time. Also, is dilation exactly the same in...
  7. S

    B Time Dilation Effect: Corrections to Clocks on ISS

    Hello All The Hafele-Keating experiment in 1971 confirmed measurable time dilation effects on atomic clocks flown around the Earth on aircraft. Presumably clocks aboard the International Space Station suffer worse time dilation because of their greater speed in orbit. How often are corrections...
  8. Dukon

    A Kerr Metric Time Dilation Formula: Deriving Absolute Form

    Just as the time dilation formula for the Schwarzschild metric in terms of the position ##r## away from center of mass for a gravitational body and the Schwarzschild radius ##r_s = {2GM}/{c^2}## is given by $$ \tau = t \sqrt{1 - \frac{r_s}{r} } $$ so I'd like to know the corresponding...
  9. morrobay

    B Time like spacetime interval, proper time, and time dilation

    Since the time like spacetime interval is equal to proper time for stationary or traveling observers, then it seems time dilation (proper time) seen with traveling clock is necessarily frame invariant. Then the so called time between ticks of both identical clocks, with stationary and traveling...
  10. R

    I Length contraction and time dilation

    A long time ago, I was very impressed by a lecture on elementary special relativity which showed in simple math how the correct conclusion to the null results of the Michelson-Morley experiment were obtained by concluding a constant c but then adding a length contraction and time dilation. I...
  11. stevendaryl

    I Time-Dependent Lagrangian Leads to Time Dilation?

    This is just something unexpected that I noticed recently, and I hadn't heard anyone mention it before. The relativistic Lagrangian for a particle moving under a scalar potential ##\Phi## is this: ##L = \frac{1}{2} m g_{\mu \nu} \dfrac{dx^\mu}{d\tau} \dfrac{dx^\nu}{d\tau} - \Phi## This leads...
  12. Nick tringali

    I Hyperbolic Time Chamber: Is Time Dilation Theoretically Possible?

    Has anyone ever watched dragon ball Z before? In this TV show, there is something called the hyperbolic time chamber. 1 day on Earth is equivalent to 1 Year in the time chamber. In other words, if you stayed in the chamber for a full 24hours than exactly 1 year would have passed when you left...
  13. Julius Ceasar

    B Time Dilation Question: Two Men's Watches Differ after Space Travel

    Sometime in the future two men meet at a space port and they synchronize watches, one boards a spacecraft and goes on a round trip around the solar system, when he returns the two men compare wristwatches to find they have different times. Q. Do the two men still exist at the same time or not?
  14. C

    B Conflict Between Time Dilation and Red/Blue Shift?

    Experiment 1: Astronaut travels away from Earth at near the speed of light, then travels toward the Earth at near the speed of light. Einstein tells us she barely aged, but red shift/blue shift don't seem to agree with that. While traveling away, both Earth and astronaut observe each other...
  15. Buckethead

    B Clocks Vanishing into Thin Air - Gravitational Time Dilation

    With regard to relativity of simultaneity and the "block" universe and reflecting on the notion of skewed time slices associated with frames moving relative to each other, one observer sees one event a distance away (parallel to the direction of motion) occurring before another event a distance...
  16. Guillermo Navas

    I Thorne's error in explaining gravitational time dilation

    In Box 2.4 of the book "Black Holes & Time Warps" by Kip S. Thorne, he explains gravitational time dilation using the equivalence principle. For this he uses an experiment thought analogous to the one used by Einstein in 1911 to postulate the existence of a gravitational Doppler shift, but...
  17. M

    Why Is Time Dilation Considered a Real Phenomenon?

    Good day. I have read many books, forums, and articles, and watched many youtube videos, all in an effort to understand special relativity and time dilation. Or rather, more precisely, trying to find a valid explanation that does not result in contradictions and paradoxes, and if it does, one...
  18. C

    MHB How does rigid transformation and dilation help with learning Geometry?

    Dear Everybody, I am in the process of relearning high school geometry through Khan Academy. I am current an graduated undergraduate student in mathematics. I am doing this because geometry is one of my weakest subject in mathematics. Second reason is that I want to reason out a problem...
  19. R

    Intro special relativity problem regarding time dilation

    This example is worked out in the book, and at the beginning, they make the assumption that the muon is traveling at c, and then find the change in time from the Earth reference frame using delta t=100km/c. Then delta t is plugged into the time dilation equation on the left side and we solve for...
  20. S

    I Calculating Time Dilation & Galaxy Rotation Curve

    Hello, What I understood from multiple answers on different threads is that the effect of the time dilation is too small to explain the galaxy rotation curve. I was advised to do some calculations in order to see it myself. And this is what I would like to do but I need some help. - What is...
  21. Lutz-F

    B What Links High Velocities, Strong Gravitational Fields, and Time Dilation?

    The faster the relative speed or the more intense the gravitational field, the slower time passes. Does it make sense to ask what both have in common that affects time? Or does the question possibly only make sense in the context of certain theories, for example the LQG, where space and time...
  22. O

    B Contradictory time dilation equations

    It is possible to derive 2 contradictory time dilation equations. The first paragraph below describes the situation with Sally aiming a flashlight straight up and down so that Sally sees the light moving straight up and down and John is outside the spaceship and sees the light forming a...
  23. jaketodd

    B E & B Field Oscillation with Time Dilation: Explained

    If time for something approaching the speed of light will slow down and approach zero, then how is it that light itself can exhibit changes - the oscillation of the E and B fields? Is it because those fields are perpendicular to the direction of light travel? If so, then something other than...
  24. richengle

    I Does time dilation cause different aging rates for people?

    if you could leave the planet, and wait a year in space... would you age much much faster than a person on Earth because the Earth was moving relative to you and you are out of Earth's gravity field [like a higher up clock]?
  25. J

    I Time Dilation & Superluminal Travel: 2 Questions

    Two quick questions on time dilation and superluminal travel for a situation in which two people are in motion with respect to each other. 1) If Jack is moving with respect to Jill, Jill sees Jack's clock move more slowly relative to her clock, so Jill perceives Jack aging more slowly relative...
  26. U

    I Length Contraction & Time Dilation: Proving It

    I have been able to prove to myself that, based on Einstein's two postulates and the the Pythagorean theorem, that time dilates. From here how do I prove that length contracts? (All of this observing a frame that is moving relative to the proper frame at uniform velocity.)
  27. T

    B On time dilation and length contraction

    Hello there.About time dilation, could we provide a derivative of time in relation to one of the coordinates of the manifold we have taking time as a function and get something as a result?Or its integral?And about time dilation we have the formula that gives it between two clocks and an...
  28. Drizy

    B Time Dilation: Orbit Earth at Light Speed, What Happens?

    I’m having quite a bit of trouble understanding time dilation. What will happen if you orbit the Earth close to the speed of light, 1 h passes for you and due to time dilation 2 h on earth. So what will happen when you look at Earth in that hour. Since time passes 2 times faster there will it...
  29. Drizy

    B Faster than speed of light due to time dilation?

    This probably has been asked before but i had a thought about the speed of light and time dilation. First off all i know the speed of light is constant and that it is the max speed anything can be but hear me out. So let's say a jet are traveling from point a to b in space with let's say 0,8c...
  30. X

    B Time Dilation & Length Contraction: Physics Explained

    So basically i know almost nothing about physics but i have this one curiosity and i hope you can help me ahah. For what i understand if you could move at the speed of light time would stop for you and you would see the whole universe age in a blink of an eye. But what if you could stand...
  31. Hiero

    I Twin Paradox Time Dilation in Positively Curved Universe

    I’m sure the resolution is something to the effect of “we can only apply special relativity in flat spacetime” but I’m hoping someone can explain in more detail. Disclaimer: I don’t know general relativity. So in a positively curved universe, if you keep traveling (let us neglect expansion)...
  32. Lars1408

    B Time Dilation: Direction of Motion's Effect

    Earth moves through space in a certain direction at a certain speed. Moving faster slows down your clock while moving slower increases your clock. Does this mean that the direction your moving in has an effect on time dilation? In other words, if you move along with the earth’s initial speed...
  33. V

    I A question about time dilation

    OK this is a quote from the physics forum site - it is not mine. So the above quote says that there are two effects which alters the clock ticks, the GR effect and the SR effect for clocks aboard satellites. We all know that satellite are in free fall and for free fall there must be a steady...
  34. Stephen Bulking

    Length contraction and Time dilation for LIGHT?

    Radio wave travels at the speed of light 3x10^8 (m/s) Converting the distance to meter: 1.3 x 3.1x 10^16 = 4.03x10^16m The time it takes in our Earth frame of reference is: 4.03x10^16m/3x10^8 (m/s) = 4.26 years The answer is B But wouldn't the time in light's frame of reference be 0 and it's...
  35. W

    What is the algebra concept used to derive time dilation formula?

    Hi this is my first post the forum, nice to meet you all. I am trying to derive the time dilation formula following the image attached. However I am unsure of the algebra being used toget from the 2nd line of working to the 3rd line. Can someone please tell me what the name of the algebra...
  36. D

    B Time dilation and the reference frame of the vacuum

    The point of the twin paradox in special relativity is that the traveling twin experiences a real, frame-invariant effect in which the time evolution of all moving matter is slowed down. If you read a hundred articles and textbooks on SR, you'll see a hundred variations on the message that the...
  37. Sabertooth

    "Astronomical Calculus" Spaceship Dilation problem

    Hi everyone. I have provided myself a problem that I insist on solving, however, I want to do it "the right way" where I can put every parameter into a calculator and get an answer quickly. I pondered doing it manually and figured that it could be done to a reasonable precision in an hour or...
  38. AndrewDes

    B Time Dilation b/w Galaxies: Dark Matter Impact?

    If time slows down near a black hole then doesn't it stand to reason that time is slower in our galaxy than inbetween galaxies. If that's the case, wouldn't our measurements of distant galaxies be over estimated do to time being faster intergalacticly. Would this time dilation help explain part...
  39. Mattv

    B Time Dilation & Relativity: Explained for Beginners

    Good morning I'm a total beginner in physics, but I recently started to read books and watch videos about cool physics stuff, like relativity. I heard that the closer to the speed of light you travel, the "slower" time passes for you. I'm talking about the fact that clocks in GPS satellites...
  40. YouAreAwesome

    B Does time dilation work in 1d space?

    Imagine this question in 2 dimensions, time (t) and distance (x), that is (t,x). Alice (A) is at the origin, x=0. Bob (B) begins at x=c. Thus we have A(0,0) and B(0,c). Both Alice and Bob send a light signal towards the other but let's say the signal changes colour every second by the colours of...
  41. P J Strydom

    B Length contraction and Time dilation calculation

    I was absent for a while due to personal constraints but I did keep myself busy with the Time dilation equation some member sent me a while back. I decided to set a time limit for myself to learn and understand time Dilation and length contraction, which must be before December 2020, or I will...
  42. ersa17

    I Why does time dilation only affect one of the twins?

    I am more confused by the theory of relativity as I start thinking about it. I have a question and it might sound silly but please, correct me if I am wrong. Suppose, A and B are twins where A is at the Earth, and B is moving on a spacecraft at a speed near to the speed of light. In this...
  43. D

    Effect of time dilation on temperature

    Thank you in advance for your replies. While reading about special relativity I started thinking about how time dilation might affect temperature. Since temperature is really the jiggling motion of molecules, does time dilation affect temperature by slowing down the jiggling motion? Or...
  44. J

    I Gravitational time dilation using an accelerating light-clock

    I've been trying to understand gravitational time dilation by considering a light-clock of length ##l## undergoing an equivalent acceleration ##a## from rest along the direction of the bouncing light pulse. I find that the time ##t## that the light pulse takes to travel to the forward receding...
  45. just dave

    B A thought Experiment in Time Dilation

    Ok so here's my idea,it came to me while watching a record album spin on my turntable(I believe it was Dark Side of the Moon). Technically this exp. could be done now but the results would take a while. You take a disc of some super strong material attach it to a ultra high RPM motor and put...
  46. arkantos

    I Solving Confusion About Black Holes, Schwarzschild Radius & Time Dilation

    According to the theory, every mass has a Schwarzschild radius associated. Any object whose radius is smaller than its Schwarzschild radius is called a black hole. So in principle is possible to create mini-black holes, it is just a fact of matter condensed. Those mini black holes have their...
  47. PainterGuy

    B Time dilation, relativistic mass and fuel consumption

    Hi, Could you please help me with the queries below? Question 1: A GPS satellite is moving faster than the earth, for every day on Earth the clock on the satellite shows one day minus 7 microseconds due to time dilation due to special relativity. However, since the Earth's gravitational pull...
  48. penroseandpaper

    Time dilation between two frames

    [Wow - special relativity is amazing but boy is there a lot to get your head around! We're only being introduced to it as a taster of college courses but the few lessons we've had have left me with more questions than answers; most fascinating topic yet, I think!] Unfortunately I've tackled a...
  49. E

    I Time Dilation Probes: Exploring the Possibilities

    Firstly, I am a Mechanical engineer working in the aerospace industry and I know very little compared to the collective community here and my formal education had to do with practical and basic stuff, so apologies if I’m overlooking a basic principle or something. my idea: what if we launched a...
  50. samuel toco

    I Solve E = mc^2 & Time Dilation Equation

    how to equal the equation: E = mc2 and the Time dilation equation
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