High School Is time dilation just a problem with our clocks?

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SUMMARY

This discussion centers on the concept of time dilation, particularly in relation to gravitational effects on clocks. Participants clarify that while clocks, such as atomic clocks, are indeed affected by gravity, the notion that time itself can be altered is a misunderstanding. Time dilation is a relative phenomenon observed from different frames of reference, and accurate timekeeping devices like quartz watches function correctly in various environments without needing recalibration. The conversation emphasizes that while the measurement of time can change, the fundamental nature of time remains constant.

PREREQUISITES
  • Understanding of time dilation in physics
  • Familiarity with atomic clocks and their accuracy
  • Knowledge of gravitational effects on time measurement
  • Basic principles of relativity and reference frames
NEXT STEPS
  • Research the Hafele–Keating experiment to understand practical applications of time dilation
  • Study the principles of general relativity and their implications on time measurement
  • Explore the differences between gravitational and special relativity effects on time
  • Investigate the operation and calibration of atomic clocks in various gravitational fields
USEFUL FOR

Physicists, students of relativity, and anyone interested in the implications of time dilation on modern technology such as GPS systems.

  • #31
Nugatory said:
Careful... what we're counting here is not pulses of the pulsar, we're counting the the number of times that a pulse wavefront passes through in the general neighborhood of the earth. You could call the amount of time that ten flashes pass by some unit of time; and you could notice that during that time twenty flashes from some other pulsar pass through the neighborhood of the earth... But there's no reason to expect that twenty:ten ratio to hold anywhere else in the universe, nor even if the Earth's orbital velocity were different. So which pulsar is to be "god's clock"? They can't both be, because they only agree in one place.

The behavior PeterDonis described for the pulsar (same number of flashes received in one orbital period of O) could just as easily be achieved by setting a strobe light up on the surface of the earth.
Thank you. I was actually thinking of the moon because of its rotation. So let's just theorize for a second that we did this. Both observers (earth and space) could see the strobe. Would the flashes not act like a clock by counting them? Would they also not count the same number of flashes by the light given off?
 
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  • #32
Edriven said:
This pulsar to me is a "God clock". A time piece, free of restraints of gravity and material limits.

Didn't you say in an earlier post that gravity affects everything, since everything is made of matter and energy? Why do you think a pulsar would be any different?
 
  • #33
Edriven said:
Would the flashes not act like a clock by counting them?

They can serve as a sort of "clock", yes; but there is no guarantee that each "tick" of the clock (i.e., each pair of successive flashes) represents the same amount of time. It depends on the motion of the source of the flashes, the motion of the receiver, the position of each in a gravity well, etc.
 
  • #34
PeterDonis said:
They can serve as a sort of "clock", yes; but there is no guarantee that each "tick" of the clock (i.e., each pair of successive flashes) represents the same amount of time. It depends on the motion of the source of the flashes, the motion of the receiver, the position of each in a gravity well, etc.
The only thing that matters,in this instance, is that the strobe can be seen by the earthling and the space traveler. Thus,they would be witnessing the same event at the same time. Gravity would only take hold if we had enough to create gravitational lensing. I think their clocks would still be running at different speeds. Would this example not prove that time dilation only effects clocks and not time itself?
 
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  • #35
Edriven said:
they would be witnessing the same event at the same time.

No, they wouldn't. They aren't at the same spatial location. They are not at rest relative to each other. Both of these things will affect their relative clock rates, so their clocks won't show the same elapsed time between pulses. They will agree on invariants, like how many pulses are received during one orbit of the space traveler, because the definition of "one orbit" is the same for both of them. But they won't agree on how much clock time elapses during one orbit.

Edriven said:
Gravity would only take hold if we had enough to create gravitational lensing.

Incorrect. Gravity affects their relative clock rates because they are at different altitudes.

Edriven said:
I think there clocks would still be running at different speeds.

Yes, indeed. See above.

Edriven said:
Would this example not prove that time dilation only effects clocks and not time itself?

No, because "time itself" independently of clocks is meaningless. I asked you in a previous post how you would measure "time itself" without using a clock; you never answered.
 
  • #36
PeterDonis said:
No, they wouldn't. They aren't at the same spatial location. They are not at rest relative to each other. Both of these things will affect their relative clock rates, so their clocks won't show the same elapsed time between pulses. They will agree on invariants, like how many pulses are received during one orbit of the space traveler, because the definition of "one orbit" is the same for both of them. But they won't agree on how much clock time elapses during one orbit.
Can we work on one thing at a time, please? If we said they were both traveling at same rate where them gravity would only be the varing factor. Would the pulses change? Then, if we have two observers on Earth going at different speeds, speed would be the variable. Would the pulses change here? I think in both cases the moon would appear stationary. Does that sound right?Incorrect. Gravity affects their relative clock rates because they are at different altitudes.
Yes, indeed. See above.

Yes I agree. It affects their relative clocks. The gravity from the moon to spacecraft is constant for both parties. The only difference is light traveling from altitude to surface. Would there be much of a change here?

No, because "time itself" independently of clocks is meaningless. I asked you in a previous post how you would measure "time itself" without using a clock; you never answered.
I'm sorry. I don't want to measure time without a clock. I just want to use a different clock. One free of gravity and speed, if there is such a thing. We both know enironment would determine this.
 
  • #37
Edriven said:
I just want to use a different clock. One free of gravity and speed, if there is such a thing.

There isn't. As you yourself pointed out in an earlier post, gravity affects everything. "Speed" also affects everything, in the sense that there is no such thing as absolute rest.
 
  • #38
PeterDonis said:
There isn't. As you yourself pointed out in an earlier post, gravity affects everything. "Speed" also affects everything, in the sense that there is no such thing as absolute rest.
Yes sir you are absolutely right.
 
  • #39
Edriven said:
I'm sorry. If I sound stubborn. I'm trying to respond to a lot of different posts here. I posted a response to this in another post. I understand it as, a person in space traveling with small gravity will have his clock slow down compared to a persons clock on earth. So when looking out the window he sees the same pulse, from another object in space. Would this pulse slow down for both observers? If so why? Also why does a clock going in a separate direction speed up vs slow down?
It is not that you sound stubborn; you sound evasive. You are still avoiding the question. Please tell how you propose to measure this "actual time" which you claim exists and does not change.

If you cannot think of such a measurement then perhaps you should rephrase your earlier comment where you asserted the idea.
 
  • #40
Edriven said:
Thank you again, for your details and time. This pulsar to me is a "God clock". A time piece, free of restraints of gravity and material limits. Could this pulsar not be used, as a universal time piece? It seems more consistent than our man made clocks.
Man made atomic clocks are FAR more stable than pulsars. Furthermore, pulsars would be just as affected by gravity and speed as any other clock. If that is your measure of time then time still dilates.
 
  • #41
DaleSpam said:
Man made atomic clocks are FAR more stable than pulsars. Furthermore, pulsars would be just as affected by gravity and speed as any other clock. If that is your measure of time then time still dilates.
Yes, thank you. I was using the pulsar as a natural example. Something that maybe Einstein could of referred too. My true choice would be to place a strobe omitter on the moon. This placement would allow both, the Earth observer and a spacecraft to compare the flashes of light to their clocks. It would take gravity out of the equation and put the clock on an object that doesn't seem to move when observed, but visible to both parties.
 
  • #42
Edriven said:
Yes, thank you. I was using the pulsar as a natural example. Something that maybe Einstein could of referred too. My true choice would be to place a strobe omitter on the moon. This placement would allow both, the Earth observer and a spacecraft to compare the flashes of light to their clocks. It would take gravity out of the equation and put the clock on an object that doesn't seem to move when observed, but visible to both parties.

You could do that. In fact, if you made the strobe bright enough to be seen across a large swathe of the universe, everyone else out there could use it the way you are proposing to use a pulsar. But it still isn't going to be especially useful as a clock.

Suppose we were to place samples of a radioactive material here and there throughout the universe. Next to every sample, we place a human observer whose job is to count the number of flashes that arrive while 50% of the radioactive material decays. We will find that every one of these observers ages by same amount during the 50% decay time, and all other time-dependent processes around them also proceed at the same rate relative to the 50% decay time... the bacterial growth on their unrefrigerated sandwich, the amount a candle burns down, the number of oscillations the crystal oscillator in their wristwatch oscillates... the same for all the observers. But they will, in general, count a different number of flashes from the strobe light on the moon during that time.
 
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  • #43
Edriven said:
I'm sorry. I don't want to measure time without a clock. I just want to use a different clock. One free of gravity and speed, if there is such a thing. We both know enironment would determine this.

You seem to have a concept of Special and General Relativity that I think is different from the standard view. That doesn't mean it's wrong, but I think it would be worth your while to understand the standard view before launching into an unorthodox interpretation.

In SR or GR, you can have two clocks that start together, take different paths through time and space, and when they get back together they show different amounts of elapsed time. You seem to have in mind an "environmental" interpretation of this: The forces that act on the clocks slow them down by different amounts, and that explains the difference. You think that if there were such a thing as a "perfect" clock, then its elapsed time would be unaffected by gravity or speed. That is NOT correct, according to the standard view. (Once again, I'm [edit] not saying that the standard view is the only possible way of looking at it.)

The standard view of SR and GR is that clocks don't measure time, but they measure PROPER time, and proper time is a geometric quantity. Here's an analogy: Two cars both start on a road trip from New York City to Seattle. One car takes Interstate 90 all the way across the country. The other car goes south to Georgia, then west to California, then north to Seattle. When the two cars get back together in Seattle, they compare their odometer readings. One car's odometer shows that the trip was 3000 miles. The other car's odometer shows that the trip was 4500 miles. How is that possible? They both started in New York and ended in Seattle?

One interpretation of the difference in odometer readings is an "environmental" interpretation. For some reason, going south and then west and then north caused that car's odometer reading to "run fast", so that it showed more miles. The other interpretation is geometric: Both cars accurately measured the length of their trips, but trip length is a path-dependent quantity.

The geometric interpretation of SR and GR says that clocks accurately measure a kind of "path length" through spacetime, which is called proper time. This quantity is path-dependent, it isn't just a function of where (in spacetime) you start and where you end up.
 
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  • #44
stevendaryl said:
You seem to have a concept of Special and General Relativity that I think is different from the standard view. That doesn't mean it's wrong, but I think it would be worth your while to understand the standard view before launching into an unorthodox interpretation.

In SR or GR, you can have two clocks that start together, take different paths through time and space, and when they get back together they show different amounts of elapsed time. You seem to have in mind an "environmental" interpretation of this: The forces that act on the clocks slow them down by different amounts, and that explains the difference. You think that if there were such a thing as a "perfect" clock, then its elapsed time would be unaffected by gravity or speed. That is NOT correct, according to the standard view. (Once again, I'm saying that the standard view is the only possible way of looking at it.)

The standard view of SR and GR is that clocks don't measure time, but they measure PROPER time, and proper time is a geometric quantity. Here's an analogy: Two cars both start on a road trip from New York City to Seattle. One car takes Interstate 90 all the way across the country. The other car goes south to Georgia, then west to California, then north to Seattle. When the two cars get back together in Seattle, they compare their odometer readings. One car's odometer shows that the trip was 3000 miles. The other car's odometer shows that the trip was 4500 miles. How is that possible? They both started in New York and ended in Seattle?

One interpretation of the difference in odometer readings is an "environmental" interpretation. For some reason, going south and then west and then north caused that car's odometer reading to "run fast", so that it showed more miles. The other interpretation is geometric: Both cars accurately measured the length of their trips, but trip length is a path-dependent quantity.

The geometric interpretation of SR and GR says that clocks accurately measure a kind of "path length" through spacetime, which is called proper time. This quantity is path-dependent, it isn't just a function of where (in spacetime) you start and where you end up.
I'm here not to doubt it, but to understand it. Thank you.
 
  • #45
Edriven said:
I'm here not to doubt it, but to understand it. Thank you.

Well, the geometric view is that there is no wrong, or inaccurate, about the clocks used to measure time dilation. In the same way that there can be two different ways to go from New York City to Seattle, and they have different path lengths, there can be two different ways to go from the point in spacetime "Earth on June 1, 2015" to the point "Earth on June 1, 2025", and those two different paths can have different proper times, which is like a path length.
 
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  • #46
stevendaryl said:
Well, the geometric view is that there is no wrong, or inaccurate, about the clocks used to measure time dilation. In the same way that there can be two different ways to go from New York City to Seattle, and they have different path lengths, there can be two different ways to go from the point in spacetime "Earth on June 1, 2015" to the point "Earth on June 1, 2025", and those two different paths can have different proper times, which is like a path length.
But a long time and very fast speed would have to be required to make any real difference right?
 
  • #47
Edriven said:
My true choice would be to place a strobe omitter on the moon. This placement would allow both, the Earth observer and a spacecraft to compare the flashes of light to their clocks.
You certainly could do that, but a strobe emitter would be just as susceptible to gravitational time dilation and kinematical time dilation as any other clock. If the goal is to measure a "actual time" immune to such effects, then this wouldn't do it. All it would do is provide a specific non-actual time to use as a standardized reference. There may certainly be some benefit to establishing such a conventional reference, the GPS system does that also, but it is hardly the measurement of "actual time".
 
  • #48
DaleSpam said:
You certainly could do that, but a strobe emitter would be just as susceptible to gravitational time dilation and kinematical time dilation as any other clock. If the goal is to measure a "actual time" immune to such effects, then this wouldn't do it. All it would do is provide a specific non-actual time to use as a standardized reference. There may certainly be some benefit to establishing such a conventional reference, the GPS system does that also, but it is hardly the measurement of "actual time".
Thank you. I have gotten this response from others. What an amazing science.
 
  • #49
Edriven said:
Thank you. I have gotten this response from others. What an amazing science.

Your best bet for understanding this is to defer gravitational considerations for now and instead focus on how time dilation works with ordinary boring constant-speed straight-line motion. Get clear in your mind how it can be that if someone is moving relative to you, then you will (correctly) find their clocks are running slow relative to yours - but they, working from the equally valid standpoint that they're at rest and you're moving relative to them - will (correctly) find that your clock is running slow relative to theirs.

Starting here has several advantages:
- It's much easier to avoid the pitfall of thinking that time dilation is something that happens to the time-dilated observer; you don't expect to be much affected by the fact that some observer in some far distant corner of the cosmos (or racing around the storage rings of the Large Hadron Collider at CERN) is moving at 99% of the speed of light relative to you.
- You don't have to unlearn the idea that gravity is a force before you can even get started.
- The math is much less demanding. There are respectable and acceptably rigorous ways of approaching the constant-speed straight-line no-gravity problem without even using any calculus... but to involve gravity at any but the most superficial level requires several years of serious college-level math.
 
  • #50
Nugatory said:
Your best bet for understanding this is to defer gravitational considerations for now and instead focus on how time dilation works with ordinary boring constant-speed straight-line motion. Get clear in your mind how it can be that if someone is moving relative to you, then you will (correctly) find their clocks are running slow relative to yours - but they, working from the equally valid standpoint that they're at rest and you're moving relative to them - will (correctly) find that your clock is running slow relative to theirs.

Starting here has several advantages:
- It's much easier to avoid the pitfall of thinking that time dilation is something that happens to the time-dilated observer; you don't expect to be much affected by the fact that some observer in some far distant corner of the cosmos (or racing around the storage rings of the Large Hadron Collider at CERN) is moving at 99% of the speed of light relative to you.
- You don't have to unlearn the idea that gravity is a force before you can even get started.
- The math is much less demanding. There are respectable and acceptably rigorous ways of approaching the constant-speed straight-line no-gravity problem without even using any calculus... but to involve gravity at any but the most superficial level requires several years of serious college-level math.
Thank you. This entire group has helped me a lot.
 
  • #51
Edriven said:
I'm not trying to argue or be rude. I hope everyone understands that. I am merely saying that our time measuring devices ARE affected by gravity and movement based on laws, simply because gravity affects matter and light. Can we all agree on that? Therefore I'm saying the mechanism is affected.
No.

Sorry if this is going over old ground, but I think a more assertive approach may be more pointed and easier to recognize (I think the apparently more common phrasing/framing can be misleading):

There is a well known equation for predicting the tick rate of a pendulum clock based on changes in gravitational acceleration. There is no such equation for a quartz clock, spring clock, atomic clock, motorized clock, radioactive decay clock, etc. The tick rates of these clocks are not affected by gravity. The fact that no mechanism exists to explain the differing tick rates - besides actual varying time rates at different speeds and gravitational accelerations - is why it must be concluded that it is time itself that varies, not just faulty clocks.
 
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  • #52
Edriven said:
Gravity affects all matter my friend. The atomic clock is the most accurate clock avaliable. And it is still affected. Gps satellites must constantly be calibrated back to Earth time.
Peter answered "yes" to all of these, but because of the way the answers were split, it implied something to me that is not true, which was the reason for my previous post. In the sense that local measurements/calculations can detect/explain the effect of gravity on a pendulum clock, the claim that the atomic clock is also affected by gravity is false, not true. The atomic clock is "affected" by time dilation, which is measured between frames. The pendulum clock is affected by gravitational acceleration, which can be measured locally. That's why I prefer answering "no" to the question of whether gravity affects clocks. It depends on what you are referring to and in the context of Relativity (the laws of the universe are the same in all inertial frames), I believe the answer should be "no" (for a good clock). It's time itself that is different between frames: the clock is just along for the ride.
 
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  • #53
russ_watters said:
There is a well known equation for predicting the tick rate of a pendulum clock based on changes in gravitational acceleration. There is no such equation for a quartz clock, spring clock, atomic clock, motorized clock, radioactive decay clock, etc.

I think this can be phrased in a way that makes the difference even more evident. The well known equation for the tick rate of a pendulum clock expresses that tick rate in terms of...the tick rate of those other kinds of clocks. In other words, to use the concept of "tick rate" at all, we need to have the concept of an "ideal" clock, one whose tick rate is not affected by any environmental factors like changes in the gravitational field. When we say the tick rate of other clocks, like a pendulum clock, is affected by changes in the environment, we mean that we can see the change by comparing those other clocks to an ideal clock. But in order to make that comparison, we have to have an ideal clock--we have to have at least one kind of clock which we treat as not being affected by changes in the environment.

But if we then take two such ideal clocks, and send them on different paths through spacetime between the same pair of events, they will, in general, register different elapsed times. That means that even ideal clocks are "affected by gravity" in the sense that their elapsed times depend on the paths they take through spacetime.

russ_watters said:
The atomic clock is "affected" by time dilation, which is measured between frames. The pendulum clock is affected by gravitational acceleration, which can be measured locally

Yes, this is a good way of describing the distinction between a non-ideal clock and an ideal clock. An ideal clock is only affected by the length of the path it takes through spacetime, which is a global property; a non-ideal clock is affected by other things, which are locally measurable properties.
 
  • #54
PeterDonis said:
I think this can be phrased in a way that makes the difference even more evident. The well known equation for the tick rate of a pendulum clock expresses that tick rate in terms of...the tick rate of those other kinds of clocks. In other words, to use the concept of "tick rate" at all, we need to have the concept of an "ideal" clock, one whose tick rate is not affected by any environmental factors like changes in the gravitational field. When we say the tick rate of other clocks, like a pendulum clock, is affected by changes in the environment, we mean that we can see the change by comparing those other clocks to an ideal clock. But in order to make that comparison, we have to have an ideal clock--we have to have at least one kind of clock which we treat as not being affected by changes in the environment.
Agreed. So my point was that while we have/know a specific mechanism that causes a pendulum clock to vary vs an "ideal' clock, there are no known mechanisms for those other types of clocks that would explain-away time dilation (and in fact, if we could build a precise enough pendulum clock or generate a high enough speed or gravitational potential, it would still be noticed to be subject to time dilation as well).
But if we then take two such ideal clocks, and send them on different paths through spacetime between the same pair of events, they will, in general, register different elapsed times. That means that even ideal clocks are "affected by gravity" in the sense that their elapsed times depend on the paths they take through spacetime.
So, while I get what you mean, I just feel that to someone like the OP there may not be a clear enough difference between that and the previous passage. As long as we can make sure that they are clear that that "affected by gravity" means something different for the atomic clock than for the pendulum clock, I guess that would be ok. But I prefer not having a difference because I'm not sure in other, similar contexts we'd use that framing. Consider:

If I'm jogging in place on a barge in a river, would you say that the speed of the river affects how fast I can run? If so, I've found a loophole that should enable me to fill that barge with Olympic medals. Point being, "the speed I can run" is always measured between me and the surface I'm running on. Similarly, I propose "the tick rate of my clock" should always be stated with respect to its local frame of reference. For a cesium clock, that's always 9x10^9 hz. For a pendulum clock, you have to calculate it based on local gravity/acceleration.
Yes, this is a good way of describing the distinction between a non-ideal clock and an ideal clock. An ideal clock is only affected by the length of the path it takes through spacetime, which is a global property; a non-ideal clock is affected by other things, which are locally measurable properties.
Exactly.
 
  • #55
PeterDonis said:
t in order to make that comparison, we have to have an ideal clock--we have to have at least one kind of clock which we treat as not being affected by changes in the environment.
Muons seem to qualify. They were subjected to accelerations of something like 10^18 g and still kept time as we would expect from ideal clocks in relativity
 
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  • #56
DaleSpam said:
Muons seem to qualify.

Yes, agreed.
 
  • #57
DaleSpam said:
Muons seem to qualify. They were subjected to accelerations of something like 10^18 g and still kept time as we would expect from ideal clocks in relativity
Thank you, I will research this topic more.
 
  • #58
Edriven said:
Thank you, I will research this topic more.
OK, here is a reference to help get you started.

Bailey et al., “Measurements of relativistic time dilation for positive and negative muons in a circular orbit,” Nature 268 (July 28, 1977) pg 301.
 
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  • #59
DaleSpam said:
OK, here is a reference to help get you started.

Bailey et al., “Measurements of relativistic time dilation for positive and negative muons in a circular orbit,” Nature 268 (July 28, 1977) pg 301.
There are a lot of factors involved but it seems plant life happens is not affected.
http://www.nasa.gov/vision/earth/technologies/aeroponic_plants.html
 
  • #60
Edriven said:
There are a lot of factors involved but it seems plant life happens is not affected.
http://www.nasa.gov/vision/earth/technologies/aeroponic_plants.html
That shows that plants grow differently and better under conditions of weightlessness. This effect is so large as to overwhelm (by many orders of magnitude) the relativistic effects that we've been discussing in this thread.

Thus, plant growth is a poor clock to use if we're trying to measure relativistic effects in Earth orbit. We need a clock that is accurate to tiny fractions of seconds.
 
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