Can time dialation really just be the slowdown of physical processes?

[ItsDaveDude]

In special relativity physicists talk about time dilation, saying that as an object moves faster relative to another that its "clock" moves slower and therefore time slows down. Could it be fair to say that time doesn't actually slow down, but all matter and energy reactions slow down and therefore "time" itself moves unchanged, but these physical processes slow down making it appear time is slower?

Follow up question, if so, could the reason all these physical processes are forced to slow down as velocity increases is because as energy goes into momentum it is taken away from these physical processes and these processes must therefore slow down relative to a reference frame at a lower velocity?

I have a problem calling the time dilation effect "time dilation" if it is not actually time, but the fundamental processes of physics that simply slow down as velocity increases relative to a slower reference frame. Meaning the CLOCK slows down as its velocity increases because its physical processes are simply moving slower, but time itself doesn't actually slow down.

Is this idea right, wrong, or an unprovable theory, and why?

 

[ghwellsjr]

Are you aware that object A, viewing object B moving, observes that B's time and clock is running slower than his own, while object B will view object A moving in the opposite direction and will observe that A's time and clock is running slower than his own? If you still want to say that time is correct for one object and only appears slower for all others in motion relative to it, who gets to decide which is the one object for which time is correct for everybody?

 

[ItsDaveDude]

Are you aware that object A, viewing object B moving, observes that B's time and clock is running slower than his own, while object B will view object A moving in the opposite direction and will observe that A's time and clock is running slower than his own? If you still want to say that time is correct for one object and only appears slower for all others in motion relative to it, who gets to decide which is the one object for which time is correct for everybody?

I am not saying there is one correct reference frame clock, because I know that is impossible. But when 1 reference frame views another, their relative velocity difference determines the amount of time dilation observed. For example if your object A is the Earth and I am object B and if I orbit the Earth close to the speed of light, I would observe the Earth's clock move faster than the clock in my reference frame. What you said was the Earth's clock would also appear slower to me. Is that true if my velocity is close to c compared to the earth?

 

[PAllen]

I am not saying there is one correct reference frame clock, because I know that is impossible. But when 1 reference frame views another, their relative velocity difference determines the amount of time dilation observed. For example if your object A is the Earth and I am object B and if I orbit the Earth close to the speed of light, I would observe the Earth's clock move faster than the clock in my reference frame. What you said was the Earth's clock would also appear slower to me. Is that true if my velocity is close to c compared to the earth?

Well, you can't orbit Earth at speed near c because that is way beyond escape velocity. But let's say you are traveling somehow around the Earth at speed near c. You would see clocks, growth, and all physical processes moving extremely slowly. At the same time, someone on Earth would see your clocks moving slowly.

 

[ItsDaveDude]

Well, you can't orbit Earth at speed near c because that is way beyond escape velocity. But let's say you are traveling somehow around the Earth at speed near c. You would see clocks, growth, and all physical processes moving extremely slowly. At the same time, someone on Earth would see your clocks moving slowly.

I am going to disregard my last paragraph and assume you are right about all frames of reference viewing clocks slower in ANY frame of reference that has a different velocity because I don't think it changes the plausibility of my original question. I still would like to know if this could not be TIME dilation but simply the result of our perception of physical processes slowing down rather than actual time slowing down. Its a fine distinction, I know.

I would really maybe just like an answer to WHAT time dilation really is, and I don't mean a description or explanation of the effect. I want to know why it happens and what is actually happening!

 

[PAllen]

I also really need to ask this question. I thought time travel into the future was possible by moving very close to the speed of light relative to the earth? (like the movie Flight of the Navigator). If I travel for say 1 month close to the speed of light relative to Earth and then return won't the Earth have experienced years of time passed compared to me and my 1 month in my perception? How is this possible, if it is true, if everyone sees clocks slow down? When I return to the Earth after my close to c jaunt will Earth's time seem to be in the future, the past, or the exact same time as what I experienced?

Now you are talking about differential aging between different spacetime paths between the same events. Consider the following two scenarios:

1) Alien Jim flies to Earth near c, zips around the Earth a few times, leaves, all moving at near c. Alien Jim sees Earth clocks slow the whole time, and Earth sees Alien Jim clocks slow the whole time.

2) Astronaut Jim leaves earth, travels around at speed c, then returns to Earth (decelerating to a stop). During most of the trip, Earth sees Jim's clocks slow and Jim sees Earth's clocks slow. However, during the deceleration and return, Jim sees Earth's clocks run extremely fast, enough so Jim agrees Earth's clocks are far ahead of his by the time he lands.

 

[ItsDaveDude]

2) Astronaut Jim leaves earth, travels around at speed c, then returns to Earth (decelerating to a stop). During most of the trip, Earth sees Jim's clocks slow and Jim sees Earth's clocks slow. However, during the deceleration and return, Jim sees Earth's clocks run extremely fast, enough so Jim agrees Earth's clocks are far ahead of his by the time he lands.

I really need an answer WHY to this, and like my question above: I would really maybe just like an answer to WHAT time dilation really is, and I don't mean a description or explanation of the effect. I want to know why it happens and what is actually happening!

I know the description of these effects and that the math and equations force this result, but I want to know WTF is going on and why this happens! Can I get a conceptual answer to what is going on here and why?

 

[LeeJeffries]

http://en.wikipedia.org/wiki/Time_dilation

That answers your questions?

 

[ItsDaveDude]

http://en.wikipedia.org/wiki/Time_dilation

That answers your questions?

Negative.

 

[harrylin]

[please don't use so big characters] In special relativity physicists talk about time dilation, saying that as an object moves faster relative to another that its "clock" moves slower and therefore time slows down. Could it be fair to say that time doesn't actually slow down, but all matter and energy reactions slow down and therefore "time" itself moves unchanged, but these physical processes slow down making it appear time is slower?
[...+re-arrange]
I have a problem calling the time dilation effect "time dilation" if it is not actually time, but the fundamental processes of physics that simply slow down as velocity increases relative to a slower reference frame. Meaning the CLOCK slows down as its velocity increases because its physical processes are simply moving slower, but time itself doesn't actually slow down.

"time" is essentially a measure of the progress of physical processes. Operationally that is exactly what time is. Thus, if according to one's measurement all physical processes of a system have slowed down, one says that its "time" has slowed down or is "dilated". For the case that all processes slow down by the same amount (as is the case according to relativity), there is thus no difference between "time dilation" and "clock retardation".
Note however that for inertial motion this is a "relative" phenomenon: if according to your measurements the other's clocks retard, also according to the other's measurements your clocks retard.

Now, what you are thinking of is something like Newton's "absolute" time. Such a time would correspond to the time that is measured in a single inertial frame and without gravitational or expansion effects. Obviously such an "absolute time" that corresponds to a "God's eyes view" does not change, but also it cannot be measured.

Follow up question, if so, could the reason all these physical processes are forced to slow down as velocity increases is because as energy goes into momentum it is taken away from these physical processes and these processes must therefore slow down relative to a reference frame at a lower velocity?

Energy and momentum cannot be transformed into each other and they both increase with increasing velocity.

I really need an answer WHY to this, and like my question above: I would really maybe just like an answer to WHAT time dilation really is, and I don't mean a description or explanation of the effect. I want to know why it happens and what is actually happening!

Relativity theory only describes the phenomena and does not postulate a physical cause. Historically three main interpretations have been forwarded:

- motion wrt a stationary ether (Lorentz)
- paths through Spacetime (Minkowski)
- just shut up and calculate (Feynman?)

It depends on how your brain is wired (including prejudice) which one you prefer, or if you want to propose again another explanation.

Regards,
Harald

 

[henry_m]

"Time slows down" is a strange and hard to interpret statement, and is perhaps the source of your worries here.

What do you mean by 'time' if not some processes of physics? A second is defined as the time taken for a certain number of periods of the radiation from a certain atomic transition. Every observer can calibrate their clock to this or some other measurable process. They can then in principle determine when everything happens by sending out light, receiving reflected light and averaging the time sent and received. This is what we mean by time according to an inertial observer in SR. Notice that it is rigidly and precisely defined.

If one observer then compares the time between two events with another moving past they find that they disagree, which says that measurement of time is relative.

Now you could take one special observer and declare 'their time' to be 'the right time' in which case you reach the conclusion that 'time' slows down for objects moving fast relative to this special observer. But the whole point of relativity is that it chucks out this preferred view of things, and while it's mathematically equivalent to use this special time as our definition, it is more helpful and convenient to stick with the relative definition of time. Then there is no sense I know of in which 'time slows down', which is an almost oxmoronic statement as far as I can tell.

 

[ItsDaveDude]

"time" is essentially a measure of the progress of physical processes. Operationally that is exactly what time is. Thus, if according to one's measurement all physical processes of a system have slowed down, one says that its "time" has slowed down or is "dilated". For the case that all processes slow down by the same amount (as is the case according to relativity), there is thus no difference between "time dilation" and "clock retardation".
Note however that for inertial motion this is a "relative" phenomenon: if according to your measurements the other's clocks retard, also according to the other's measurements your clocks retard.

Now, what you are thinking of is something like Newton's "absolute" time. Such a time would correspond to the time that is measured in a single inertial frame and without gravitational or expansion effects. Obviously such an "absolute time" that corresponds to a "God's eyes view" does not change, but also it cannot be measured.

Energy and momentum cannot be transformed into each other and they both increase with increasing velocity.
Relativity theory only describes the phenomena and does not postulate a physical cause. Historically three main interpretations have been forwarded:

- motion wrt a stationary ether (Lorentz)
- paths through Spacetime (Minkowski)
- just shut up and calculate (Feynman?)

It depends on how your brain is wired (including prejudice) which one you prefer, or if you want to propose again another explanation.

Regards,
Harald

I really appreciate this response I am going to read more about those interpretations. I am reading the twins paradox right now. Are the Lorentz, Minkowski, and Feynman interpretations which explain WHY the effects of relativity exist provable? What are the limits of our abilities or observations to understanding WHY these effects exist? To me its like, great you discovered these effects Einstein and they are real, but WHY does this happen?

 

[LeeJeffries]

Is the answer to WHY not simply because if you agree that c is constant, which is distance/time, then the only other two factors that could have changed were distance and/or time?

If you can take on board that that is the case, then you are really asking why is c constant, to which I don't think there is an answer to WHY, that's just the way it is

 

[harrylin]

I really appreciate this response I am going to read more about those interpretations. I am reading the twins paradox right now. Are the Lorentz, Minkowski, and Feynman interpretations which explain WHY the effects of relativity exist provable? What are the limits of our abilities or observations to understanding WHY these effects exist? To me its like, great you discovered these effects Einstein and they are real, but WHY does this happen?

I see that Henry_m gave roughly the same clarification about "time" in physics. About interpretations, I'm not sure if "shut-up-and-calculate" (a non-interpretation!) originates with Feynman but Einstein's approach in 1905 was similar. Of course, only relating to what you can measure is very safe but not very satisfying!

I think that no direct proof of interpretations is possible except perhaps by means of a new theory, based on new data. Indirect evidence can however influence one's opinion, see for an illustration my recent post in another thread:
https://www.physicsforums.com/showpost.php?p=3341556&postcount=68

Regards,
Harald

 

[Samshorn]

...let's say you are traveling somehow around the Earth at speed near c. You would see clocks, growth, and all physical processes moving extremely slowly...

Not true. If someone is moving in a circle around the Earth at speed very near c, they will obviously see processes on Earth progressing more rapidly, not more slowly. (The contrary effect of the Earth's gravitational potential will be negligible compared with the velocity effect, for speeds very near c.)

 

[PAllen]

Not true. If someone is moving in a circle around the Earth at speed very near c, they will obviously see processes on Earth progressing more rapidly, not more slowly. (The contrary effect of the Earth's gravitational potential will be negligible compared with the velocity effect, for speeds very near c.)

I disagree. While you don't have the perfect symmetry of two inertial frames, the symmetric time dilation dominates for a large radius circular motion of constant speed. Consider the limit as radius goes to infinity. Or just compute the arrival times of closely spaced pulses emitted from earth, as received by the circular motion observer.

I agree gravitational effects from Earth are insignificant for this case, and I was treating this as effectively a pure SR problem.

 

[Samshorn]

I would really maybe just like an answer to WHAT time dilation really is, and I don't mean a description or explanation of the effect. I want to know why it happens and what is actually happening!

It might help you to consider the same question in the context of plane geometry. Consider a wooden stick with length L = 1 meter, lying on the floor. Suppose you have drawn a grid of orthogonal coordinates, x and y, on the floor. We have dx = L cos(theta) and dy = L sin(theta), where "theta" is the angle that the stick makes with the x direction, dx is the extent of the stick in the x direction, and dy is the extent of the stick in the y direction.

Beginning with theta = 0, if we slowly increase the angle, we find that dx gets smaller and dy gets larger. So we have "x contraction" and "y dilation". Why? What is actually happening? Can you see the answer? If you can, then you're well on your way to understanding length contraction and time dilation.

 

[Samshorn]

I disagree... just compute the arrival times of closely spaced pulses emitted from earth, as received by the circular motion observer.

If you follow your own advice, you'll see that you're mistaken.

 

[PAllen]

If you follow your own advice, you'll see that you're mistaken.

Oh, yes, you're right. The constant r motion cannot be made symmetric. Without SR, no doppler would be expected, instead it is present (transverse doppler), so objective time difference is seen. So, correcting the two scenarios I gave in post #6,

1) Alien Jim would interpret Earth's clocks as slow (compensating for normal doppler), then fast, then slow.

2) Astronaut Jim (with no inertial motion) would interpret Earth's clocks as getting faster, then running fast, then slowing (but still faster) until they are in synch on landing.

 

[yuiop]

Oh, yes, you're right. The constant r motion cannot be made symmetric. Without SR, no doppler would be expected, instead it is present (transverse doppler), so objective time difference is seen. So, correcting the two scenarios I gave in post #6,

1) Alien Jim would interpret Earth's clocks as slow (compensating for normal doppler), then fast, then slow.

2) Astronaut Jim (with no inertial motion) would interpret Earth's clocks as getting faster, then running fast, then slowing (but still faster) until they are in synch on landing.

Lets consider a simpler constant velocity scenario. Let us say we have observer A on top of a huge tower of height r and observer B is orbiting at near light speed relative to A at radius R. As B passes A they would both agree the other's clock is running slower. When B completes an orbit both will agree less total time has passed on B's clock. Agree?

Secondly, if something was orbiting at near light speed, the centripetal forces would be enormous and there would be an additional time dilation effect on B similar to gravitational time dilation due to the equivalence principle. Agree?

P.S. I might be wrong on that last one. I seem to recall an experiment that demonstrated that the time dilation of a particle in a cyclotron is purely a factor of its relative speed and completely independent of the acceleration. Hmmmm. Was it that you could attribute the time dilation to either speed or equivalent gravity but not both?

Anyway, any equivalent gravitational time dilation would not be reciprocal.

 

[kmarinas86]

In special relativity physicists talk about time dilation, saying that as an object moves faster relative to another that its "clock" moves slower and therefore time slows down. Could it be fair to say that time doesn't actually slow down, but all matter and energy reactions slow down and therefore "time" itself moves unchanged, but these physical processes slow down making it appear time is slower?

Follow up question, if so, could the reason all these physical processes are forced to slow down as velocity increases is because as energy goes into momentum it is taken away from these physical processes and these processes must therefore slow down relative to a reference frame at a lower velocity?

I have a problem calling the time dilation effect "time dilation" if it is not actually time, but the fundamental processes of physics that simply slow down as velocity increases relative to a slower reference frame. Meaning the CLOCK slows down as its velocity increases because its physical processes are simply moving slower, but time itself doesn't actually slow down.

Is this idea right, wrong, or an unprovable theory, and why?

Time is simply inverse frequency. Frequency is simply cycles per unit of "time", so what we call "time" is simply just an arbitrary number that represents a cycle.

In fact, the second is now defined as:

"The duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom."

In other words, it means that there is 1/9,192,631,770th of a second per cycle of the "radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom".

It would seem that as one adds more energy to a particle, whereby it attains more mass and inertia as well, the rate of time in an object goes down to a proportional extent. Realize that objects in an inertial, non-accelerating, accelerated frame will experience a clock slowdown proportional to the amount of energy had by it. A meson decays slower when moving relativistically, even if it is a straight line, and even when it is not accelerating!

If you have two mesons moving in opposite directions relativistically, you can consider a frame of reference where one meson is stationary, and another frame of reference where the other meson is stationary. If you have a third observer at the center of momentum frame of both mesons whereat both mesons collide it at the same time and decay at the same time (post-deceleration relative to the center of momentum), then it would follow that, in the two aforementioned frames, the meson in one frame decays at the same rate as the other. Therefore, the delay in the decay of a meson has nothing to do with relative motion to an arbitrary observer. It is determined inversely to the amount of energy that the meson has, which is based upon its invariant mass, which is independent of the observer chosen.

 

[yuiop]

In special relativity physicists talk about time dilation, saying that as an object moves faster relative to another that its "clock" moves slower and therefore time slows down. Could it be fair to say that time doesn't actually slow down, but all matter and energy reactions slow down and therefore "time" itself moves unchanged, but these physical processes slow down making it appear time is slower?

The trouble is we define time "as that quantity which is measured by clocks". While all physical processes in one frame appear to have slowed down according to an observer in another reference frame, they do not appear to have slowed down at all to an observer at rest in the original frame. Consider a chemical reaction. If it has a given reaction rate at room temperature, the reaction rate may be slower in a fridge but we don't describe time as slowing down in a fridge because we clocks and other processes that we can place at rest in the fridge that are not affected by temperature, so we can make a valid measurement of reaction rates. In relativity, when all physical processes are affected equally so that there is no valid way to measure the slow down of time in the rest frame we have no way to determine whether physical process are slower but time itself continues at the same pace. It is unmeasurable. It is a bit like trying to determine which reference frame is at rest with the aether.

Let us look at this from the point of view of Lorentz Ether Theory (LET) in which we are allowed to assume a hypothetical ether. Let us say A and B are at rest with respect to each other. B accelerates of to some high constant velocity relative to A. We now say the rate of physical process has slowed down for B from A's point of view, while "time itself" remains constant. But what if A was already moving relative to the ether? When B accelerated, they may have accelerated to a slower speed relative to the ether, so in fact physical processes in B's reference frame have sped up relative to the absolute time in the ether frame. In fact the only way we can talk of "time itself" is in terms of an absolute reference frame, which we is not generally encouraged these days. ;)

 

[DaveC426913]

Time is simply inverse frequency.

No it isn't. Period* is the inverse of frequency.

Time is a dimension that exists independent of the units we use to dice it up into bite-sized pieces.

* yeah yeah - or wavelength

Frequency is simply cycles per unit of "time", so what we call "time" is simply just an arbitrary number that represents a cycle.

Time can occur quite happily without frequencies or cycles.

 

[yuiop]

No it isn't. Period* is the inverse of frequency.

Time is a dimension that exists independent of the units we use to dice it up into bite-sized pieces.

* yeah yeah - or wavelength


Time can occur quite happily without frequencies or cycles.

You don't care much for Planck time intervals, huh?

 

[DaveC426913]

You don't care much for Planck time intervals, huh?

I don't care much for poorly defining a term and then going off on a logic trip based on it.

 

[PAllen]

Lets consider a simpler constant velocity scenario. Let us say we have observer A on top of a huge tower of height r and observer B is orbiting at near light speed relative to A at radius R. As B passes A they would both agree the other's clock is running slower. When B completes an orbit both will agree less total time has passed on B's clock. Agree?

No. Having done the calculation I recommended, I see there is no such discrepancy. For circular motion, there is asymmetry - at all times, A thinks B's clock is slower, and B thinks A's clock is faster.

Secondly, if something was orbiting at near light speed, the centripetal forces would be enormous and there would be an additional time dilation effect on B similar to gravitational time dilation due to the equivalence principle. Agree?

You can model it this way, but such arguments are tricky. Certainly it justifies the lack of symmetry.

P.S. I might be wrong on that last one. I seem to recall an experiment that demonstrated that the time dilation of a particle in a cyclotron is purely a factor of its relative speed and completely independent of the acceleration. Hmmmm. Was it that you could attribute the time dilation to either speed or equivalent gravity but not both?

Anyway, any equivalent gravitational time dilation would not be reciprocal.

The time dilation of particle in accelerator can be computed purely based on its speed, but the effect is asymmetric. The lab thinks the particle's time is slow; the particle thinks the lab's time is fast.

 

[yuiop]

I don't care much for poorly defining a term and then going off on a logic trip based on it.

As far as I know, we have yet to determine if time is analogue or made up quanta. Certainly we have never measured anything with sub-Planckian frequencies. As I recall, one of the concerns with Steven Hawking's explanation of the Hawking radiation, is that it requires sub-Planckian frequencies, so that seems to a concern to some in field. Also, Einstein demonstrated that energy comes in packets or quanta and from that it follows that light frequencies and wavelengths occur in discrete steps rather than being a continuous spectrum. I think this is probably a open subject. To me the universe makes a lot more sense in terms of granular discrete units, even it turns out that not all quanta are equal to Planckian units. Almost certainly the quanta of mass if the Planck mass but I think it too early to tell if the Planck unit for time is more physically fundamental that an arbitrary unit.

 

[Misericorde]

As far as I know, we have yet to determine if time is analogue or made up quanta. Certainly we have never measured anything with sub-Planckian frequencies. As I recall, one of the concerns with Steven Hawking's explanation of the Hawking radiation, is that it requires sub-Planckian frequencies, so that seems to a concern to some in field. Also, Einstein demonstrated that energy comes in packets or quanta and from that it follows that light frequencies and wavelengths occur in discrete steps rather than being a continuous spectrum. I think this is probably a open subject. To me the universe makes a lot more sense in terms of granular discrete units, even it turns out that not all quanta are equal to Planckian units. Almost certainly the quanta of mass if the Planck mass but I think it too early to tell if the Planck unit for time is more physically fundamental that an arbitrary unit.

A quantum of time doesn't fit into any theory I'm aware of; what are you talking about? Time is either a measurement, or a dimension; you might as well ask for the quanta of length. These are not things which ask for or require quanta, even if they have a limit to their divisibility.

 

[yuiop]

No. Having done the calculation I recommended, I see there is no such discrepancy. For circular motion, there is asymmetry - at all times, A thinks B's clock is slower, and B thinks A's clock is faster.

I disagree on the grounds that for a very large orbital radius, B's path locally is almost a straight line and it approximates simple Special Relativity and A thinks B's clock is slower and B thinks A's clock is slower. Special Relativity includes (as I am sure you know) transverse Doppler time dilation effect and taking everything else into account including the relativity of simultaneity and am pretty sure we have done this calculation in the past and the relationship was symmetrical.

The time dilation of particle in accelerator can be computed purely based on its speed, but the effect is asymmetric. The lab thinks the particle's time is slow; the particle thinks the lab's time is fast.

Is this not essentially the same in principle as the object orbiting the Earth?

 

[PAllen]

As far as I know, we have yet to determine if time is analogue or made up quanta. Certainly we have never measured anything with sub-Planckian frequencies. As I recall, one of the concerns with Steven Hawking's explanation of the Hawking radiation, is that it requires sub-Planckian frequencies, so that seems to a concern to some in field. Also, Einstein demonstrated that energy comes in packets or quanta and from that it follows that light frequencies and wavelengths occur in discrete steps rather than being a continuous spectrum. I think this is probably a open subject. To me the universe makes a lot more sense in terms of granular discrete units, even it turns out that not all quanta are equal to Planckian units. Almost certainly the quanta of mass if the Planck mass but I think it too early to tell if the Planck unit for time is more physically fundamental that an arbitrary unit.

Einstein explained that light of a given frequency comes in discrete chunks of energy. He did not find, and there is zero evidence, that freqency and period are not condinuos quantities. One consequence of assuming they must be, is that you accept that velocity is quantized - since changing your velocity relative to a source continuosly changes its frequency (as you measure it).

So, whether your hypothesis is true or not, it is outside of GR + QFT as currently understood.

 

[kmarinas86]

I don't care much for poorly defining a term and then going off on a logic trip based on it.

That first sentence was just my "right brain" talking. You could have easily dispensed it and considered only the parts that come after.

Frequency is simply cycles per unit of "time", so what we call "time" is simply just an arbitrary number that represents a cycle.

In fact, the second is now defined as:

"The duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom."

In other words, it means that there is 1/9,192,631,770th of a second per cycle of the "radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom".

It would seem that as one adds more energy to a particle, whereby it attains more mass and inertia as well, the rate of time in an object goes down to a proportional extent. Realize that objects in an inertial, non-accelerating, accelerated frame will experience a clock slowdown proportional to the amount of energy had by it. A meson decays slower when moving relativistically, even if it is a straight line, and even when it is not accelerating!

If you have two mesons moving in opposite directions relativistically, you can consider a frame of reference where one meson is stationary, and another frame of reference where the other meson is stationary. If you have a third observer at the center of momentum frame of both mesons whereat both mesons collide it at the same time and decay at the same time (post-deceleration relative to the center of momentum), then it would follow that, in the two aforementioned frames, the meson in one frame decays at the same rate as the other. Therefore, the delay in the decay of a meson has nothing to do with relative motion to an arbitrary observer. It is determined inversely to the amount of energy that the meson has, which is based upon its invariant mass, which is independent of the observer chosen.

Had I instead wrote just that, then you couldn't claim that I based all of it on my not-to-be-taken-too-literally assertion that "time is simply inverse frequency".

 

[harrylin]

Lets consider a simpler constant velocity scenario. Let us say we have observer A on top of a huge tower of height r and observer B is orbiting at near light speed relative to A at radius R. As B passes A they would both agree the other's clock is running slower. When B completes an orbit both will agree less total time has passed on B's clock. Agree?

I agree if the first observation is performed with a momentarily co-moving inertial frame, or based on a momentary calibration in order to establish a nearly inertial frame (in principle that may just be possible).

[...] I seem to recall an experiment that demonstrated that the time dilation of a particle in a cyclotron is purely a factor of its relative speed and completely independent of the acceleration. Hmmmm. Was it that you could attribute the time dilation to either speed or equivalent gravity but not both?

Anyway, any equivalent gravitational time dilation would not be reciprocal.

Exactly! If you count with both, you count the same effect double.

 

[PAllen]

I disagree on the grounds that for a very large orbital radius, B's path locally is almost a straight line and it approximates simple Special Relativity and A thinks B's clock is slower and B thinks A's clock is slower. Special Relativity includes (as I am sure you know) transverse Doppler time dilation effect and taking everything else into account including the relativity of simultaneity and am pretty sure we have done this calculation in the past and the relationship was symmetrical.

This 'limiting' argument is the one I made a few posts back to samshorn. He suggested I follow my advice and calculate and would find I was wrong. He was correct in this.

Transverse doppler correctly explains lab's perception of circular moving emitter. For the reverse, you cannot use a formula based on inertial frames without care. Instead, imagine an emitter in the lab in the center of a the particle's motion. It is emitting spherical wave fronts. In the lab inertial frame, you compute that the time between each front intersecting the particle differs by less proper time for the particle than lab time between fronts. Thus the particle experiences higher frequency. Expanding the radius doesn't change this. Circular motion just cannot be modeled inertially.

Further showing the traps here, if you compare the circular moving body to an adjacent inertial body (rather than one at its center of motion), you *can* approximate them as inertial frames in relative motion.

Is this not essentially the same in principle as the object orbiting the Earth?

Yes, which is why I wanted to correct my original post after samshorn pointed out my error.

 

[kmarinas86]

Lets consider a simpler constant velocity scenario. Let us say we have observer A on top of a huge tower of height r and observer B is orbiting at near light speed relative to A at radius R. As B passes A they would both agree the other's clock is running slower. When B completes an orbit both will agree less total time has passed on B's clock. Agree?

No. Having done the calculation I recommended, I see there is no such discrepancy. For circular motion, there is asymmetry - at all times, A thinks B's clock is slower, and B thinks A's clock is faster.

Lets consider a simpler constant velocity scenario. Let us say we have observer A on top of a huge tower of height r and observer B is orbiting at near light speed relative to A at radius R. As B passes A they would both agree the other's clock is running slower. When B completes an orbit both will agree less total time has passed on B's clock. Agree?

I agree if the first observation is performed with a momentarily co-moving inertial frame, or based on a momentary calibration in order to establish a nearly inertial frame (in principle that may just be possible).

PAllen and harrylin obviously disagree with each other. Okay folks, so what is the consensus?

 

[PAllen]

PAllen and harrylin obviously disagree with each other. Okay folks, so what is the consensus?

Actually, I don't know that Harrylin and I disagree. See the 3d paragraph of my post #33. I think this is what Harrylin is referring to.