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.
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 -...
I am planning a hard-ish science fiction novel and I was wondering about space ships turning when going at extremely high speeds (in my case .33c). My question is can ships going this speed turn without sending the crew through the windshield so to speak? If its a stupid question let me know...
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?
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
Im having trouble understanding the gravitational dilation of time concept. I know its states that time go slower on higher gravitational potentials and i know it has to do with light loosing energy (decrease in frequency) as stated in Stephen Hawking's Book "A brief History of Time". How does...
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...
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...
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...
Has any experiments been done equal to this scenerio where the twin leaving Earth and seeing Earth time dilated.. but when the twin reverses and returns to earth, the Earth speeds up or go in fast motion? If time dilation is slowing down.. what is the term for time speeding up?
Also what...
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...
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...
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...
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...
Why is it that when describing time dilation, we say that the object (the thing observed) slows down relative to the subject (the observer), rather than vice versa? If the subject were to speed up, everything around them would appear slowed down, correct?
Let me take a crack at this myself...
Homework Statement
A spaceship approaches Earth with a speed of 0.6c. A
passenger in the spaceship measures his heartbeat as 60 beats
per minute. What is his heartbeat rate according to an
observer who is rest relative to Earth?
1. 48 beats per minute
2. 56 beats per minute
3. 65 beats per...
Ok, so I just watched the nova fabric of the cosmos (blew my mind). Anyways, suppose I jumped on top of a beam of light and road it as it traveled out into space. Now, suppose that as I was traveling out there, another person is coming at me in the exact opposite direction on another beam of...
Time Dilation problem
I understand Time Dilation and most of the principals involved. However I am still stuck on this one lingering question that I can’t make sense out of. If anyone could answer this I would really appreciate it.
Given:
1. Person A is the traveler
2. Person B is...
Homework Statement
Proxima Centauri, the star nearest our own, is some 4.2 ly away. (a) If a spaceship could travel at a speed of 0.24c, how long would it take to reach the star according to the spaceship's pilot? (b) What would someone in the frame that moves along with the spaceship...
I've been wondering.. If a person (A) is, say, on top of Mt. Everest, he would be moving faster than a guy (B) at the foot of the mountain since A is further from the center of the earth, but he would also be experiencing a weaker gravitational force than B.
So, for which of the invidividuals...
The distance to Alpha Centauri is 4,3 light years. How fast would a spaceship have to travel to get there in 10 years, according to the crew?
The answer *should* be 0,395c. So far I've gotten all sorts of answers but not much close, so I seem to be approaching the problem the wrong way.
I've pondered a hypothetical problem
Take as time perspective "A" as being relative time dilation of Earth
Time dilation "B" being half of "A" slower due to relativistic effects.
assuming both "A" and "B" were both formed at the same time say 5 billion years ago.
If you were to...
If someone was to travel from the solar system to Proximi Centauri, I believe that from their point of view time would pass normally and regardless of how fast they were travelling, the speed of light would still be c. As I understand it, as the person traveling approaches c relative to Earth...
After i figured out how to show length contraction in this topic. I tried to use a similar way to show time dilation in Minkowski diagram. Time dilation means that time interval between two events is the shortest in the frame in which those two events happen in same place. We call this frame its...
I am trying to understand if SR can explain a real, measurable velocity time dilation as seen in experiments/observations like GPS satellite or Bailey et. al.
Let us say we have twins sitting in their identical, individual spaceships in space, close to each other, and far away from any large...
As I understand it from what I have read the gravitational time dilation concept was arrived at through the equivalence principle. That the differential dilation at different locations in an accelerating system were derived from SR and included in GR by EP.
But I have never encountered the...
Homework Statement
At what speed relative to a laboratory does a clock tick at half the rate of an identical clock at rest in the laboratory. Give your answer as a fraction of c (speed of light)
Homework Equations
Δt=Δt'/√1-^2
The Attempt at a Solution
My professor assigned this...
Does time dilation only affect matter that has mass?
For example, A spaceship is 1 light year away from Earth at rest. It sent out a radio wave to Earth then travels at 99.99% of the speed of light. On Earth, from our perspective, we will receive that radio wave 1 year later but the spaceship...
Q1. Time Dilation Question
Homework Statement
Three identical triplets leave Earth when they reach the age of 21, in the year 2121. Each triplet goes on a spaceship journey that takes T years, as measured by a clock in each spaceship. During the journey they travel at a constant speed v, as...
1. Is there anyway we can measure time without depending on or using light? If we can, what are they and do special relativistic effects still take place in "close to c" relative velocity situations by using this method of time keeping?
2. My second question relates to relative movement. Time...
Hi, so I think I have a problem with how I am thinking about time dilation anyway here it is
so if two events occur at the same position say light beam going up then back down and this occurs in frame S', this would be the proper time right? the interval between the two events. Now the...
Hi, this isn't really a homework problem... but I'm just wondering
I see the time axis as c*t, now people say that its to scale the time axis so that the world line of light is 45 degrees. But if you were to multiply time by the speed of light, wouldn't you just get the units metres or...