Why measuring one-way trip impossible?

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Discussion Overview

The discussion revolves around the challenges of measuring the speed of light, particularly focusing on the feasibility of one-way measurements versus two-way measurements. Participants explore concepts related to clock synchronization, historical experiments, and the implications of different synchronization methods.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification
  • Historical

Main Points Raised

  • Some participants argue that measuring the speed of light requires a round trip because synchronizing clocks at two locations introduces ambiguity in defining one-way speeds.
  • Others propose that Einstein's synchronization method is a way to ensure that the one-way speeds of light are equal, but this relies on the assumption of synchronization itself.
  • A participant references Romer's experiment with the moons of Jupiter as a potential example of a one-way measurement of light speed without the need for synchronization, although this claim is challenged by others.
  • There is a discussion about how scientists historically calculated the distance between Jupiter and Earth, with references to ancient methods and modern techniques like radar ranging.
  • One participant questions the synchronization of clocks on a moving train, raising issues about how motion affects clock synchronization.
  • Another participant expresses uncertainty about the accuracy of ancient measurements related to the Earth's circumference and the solar parallax.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility and implications of one-way versus two-way measurements of light speed. There is no consensus on the validity of the arguments presented, and the discussion remains unresolved.

Contextual Notes

Limitations include the dependence on definitions of synchronization and the assumptions made regarding the constancy of light speed in different reference frames.

ash64449
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well,i have heard this in many threads. That we can only measure the speed of light by noting down when light completes its full round trip. Now why cannot we measure speed of light by considering the half-way trip?
 
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ash64449 said:
well,i have heard this in many threads. That we can only measure the speed of light by noting down when light completes its full round trip. Now why cannot we measure speed of light by considering the half-way trip?

Because you have to synchronize clocks at two different places. Then, the choice of clock synch is what determines how two way speed gets divided into two one way speeds rather than some property of light. The Einstein clock synch is defined as the choice which makes the two one way speeds the same.
 
PAllen said:
Because you have to synchronize clocks at two different places. Then, the choice of clock synch is what determines how two way speed gets divided into two one way speeds rather than some property of light. The Einstein clock synch is defined as the choice which makes the two one way speeds the same.

let me know how the clocks are syncronised so that i can make sense to your statement.
 
PAllen said:
Because you have to synchronize clocks at two different places. Then, the choice of clock synch is what determines how two way speed gets divided into two one way speeds rather than some property of light. The Einstein clock synch is defined as the choice which makes the two one way speeds the same.
In Romer's original experiment, the moons of Jupiter serve as a distant clock. When Jupiter and Earth are at their greatest distance apart, the light coming from Jupiter has an additional 2 AU to travel, and we observe a 16 minute delay. This seems to me to be a one-way measurement of c with no synchronization required.
 
ash64449 said:
let me know how the clocks are syncronised so that i can make sense to your statement.
You synchronize the clocks so that the one-way speed of light, as measured by those clocks, comes out to be c.
 
ghwellsjr said:
You synchronize the clocks so that the one-way speed of light, as measured by those clocks, comes out to be c.

then should i again syncronise those two clocks again to measure the second return one-way trip to come out to be c?
 
Bill_K said:
In Romer's original experiment, the moons of Jupiter serve as a distant clock. When Jupiter and Earth are at their greatest distance apart, the light coming from Jupiter has an additional 2 AU to travel, and we observe a 16 minute delay. This seems to me to be a one-way measurement of c with no synchronization required.
That is a slow transport of a clock--the same as Einstein's synchronization, assuming that the clock has not accumulated any offset during its trip.
 
Bill_K said:
In Romer's original experiment, the moons of Jupiter serve as a distant clock. When Jupiter and Earth are at their greatest distance apart, the light coming from Jupiter has an additional 2 AU to travel, and we observe a 16 minute delay. This seems to me to be a one-way measurement of c with no synchronization required.

how did scientists calculated the distance between jupter and earth?
 
ghwellsjr said:
That is a slow transport of a clock--the same as Einstein's synchronization, assuming that the clock has not accumulated any offset during its trip.

what is Einstein's syncronization?
 
  • #10
ash64449 said:
how did scientists calculated the distance between jupter and earth?
Well-known story: the size of the astronomical unit was determined in ancient times by Aristarchus of Samos (or Eratosthenes, or Hipparchos), by comparing the sun's observed position in Alexandria and in Syene.
 
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  • #11
Bill_K said:
Well-known story: the size of the astronomical unit was determined in ancient times by Aristarchus of Samos, by comparing the sun's observed position in Alexandria and in Syene.

do you know any current method used by scientists to measure the distance between them?
 
  • #12
ash64449 said:
do you know any current method used by scientists to measure the distance between them?

no need to reply.. I think it is unimportant for this discussion.
 
  • #13
Bill_K said:
Well-known story: the size of the astronomical unit was determined in ancient times by Aristarchus of Samos (or Eratosthenes, or Hipparchos), by comparing the sun's observed position in Alexandria and in Syene.

I thought this was how the circumference of the Earth was first determined (by Eratosthenes), not the distance of the Sun from the Earth. IIRC the assumption was that the Sun's rays in Alexandria and Syene were parallel, implying an infinite (i.e., too large to measure) distance to the Sun; the Sun was exactly overhead at noon on the summer solstice in Syene, so its angle from the vertical (as measured by the shadow cast by a vertical stick) in Alexandria allowed the circumference of the Earth to be determined. (This also assumes that Alexandria is due north of Syene, which I believe it is to a good approximation.)
 
  • #14
PeterDonis said:
I thought this was how the circumference of the Earth was first determined (by Eratosthenes), not the distance of the Sun from the Earth. IIRC the assumption was that the Sun's rays in Alexandria and Syene were parallel, implying an infinite (i.e., too large to measure) distance to the Sun; the Sun was exactly overhead at noon on the summer solstice in Syene, so its angle from the vertical (as measured by the shadow cast by a vertical stick) in Alexandria allowed the circumference of the Earth to be determined. (This also assumes that Alexandria is due north of Syene, which I believe it is to a good approximation.)
We're talking about what is possible in principle. So first measure the circumference of the Earth with a ruler, and then the Alexandria-Syene experiment will in addition tell you the solar parallax.
 
  • #15
ash64449 said:
how did scientists calculated the distance between jupter and earth?

The relative distances of two planets and the sun can be computed using Kepler's laws (the reason for using the Astronomical Unit). Back in the day of Rømer's observations the best estimate of the AU was based on parallax measurements of Mars done just 4 years earlier by Richer and Cassini. Today radar ranging and space probe telemetry is used.
 
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  • #16
let me imagine a train,i placed two clocks on extreme parts of train. I syncronized the clocks when i am in rest. Now i made the train move,in uniform motion. Why do clocks get unsyncronized?
 
  • #17
Bill_K said:
We're talking about what is possible in principle.

Well, you did say it was an actual well-known story, not just something possible in principle. :wink: I agree that if the circumference of the Earth is already known (as well as the Alexandria-Syene distance, of course), then the difference between the Sun's actual angle from vertical at Alexandria, and the angle expected if the Sun's rays were exactly parallel, gives a measurement of the Sun's parallax. I'm not sure measurements in ancient times would have been accurate enough to measure the difference, though.
 
  • #18
PeterDonis said:
Well, you did say it was an actual well-known story, not just something possible in principle. :wink: I agree that if the circumference of the Earth is already known (as well as the Alexandria-Syene distance, of course), then the difference between the Sun's actual angle from vertical at Alexandria, and the angle expected if the Sun's rays were exactly parallel, gives a measurement of the Sun's parallax. I'm not sure measurements in ancient times would have been accurate enough to measure the difference, though.

please,don't get diverted from the discussion. Please answer to my doubts.
 
  • #19
Bill_K said:
In Romer's original experiment, the moons of Jupiter serve as a distant clock. When Jupiter and Earth are at their greatest distance apart, the light coming from Jupiter has an additional 2 AU to travel, and we observe a 16 minute delay. This seems to me to be a one-way measurement of c with no synchronization required.
Given the value of the AU from Earth-based parallax measurements, why then doesn't the Romer experiment serve as a one-way determination of c?
 
  • #20
Bill_K said:
Given the value of the AU from Earth-based parallax measurements, why then doesn't the Romer experiment serve as a one-way determination of c?

By interpreting the time delay as a one-way measurement of the time it takes light to travel 2 AU, you are implicitly assuming that both time measurements are made with reference to a single frame. But they're not; the Earth is in different states of motion when the two time measurements are taken. So one has to correct at least one of the time measurements for the difference in frames; but applying that correction requires you to already know the speed of light.
 
  • #21
Bill_K said:
Given the value of the AU from Earth-based parallax measurements, why then doesn't the Romer experiment serve as a one-way determination of c?
See the paragraph about Romer's experiment in the wikipedia article on the One-way Speed of Light.
 
  • #22
One thing that doesn't get mentioned enough in these discussions is that you can measure the one-way speed of light both in a Minkowski spacetime and a Galilean (i.e. pre-relativistic) spacetime. You just can't do it without knowing in advance if your spacetime is Minkowski or Galilean. If you know this, then you also know how to synchronize clocks.
 
  • #23
Fredrik said:
One thing that doesn't get mentioned enough in these discussions is that you can measure the one-way speed of light both in a Minkowski spacetime and a Galilean (i.e. pre-relativistic) spacetime. You just can't do it without knowing in advance if your spacetime is Minkowski or Galilean. If you know this, then you also know how to synchronize clocks.

if i synchronize the two clocks in a train and if the train moves in an inertial system,will my clocks be unsynchronized?
 
  • #24
ash64449 said:
if i synchronize the two clocks in a train and if the train moves in an inertial system,will my clocks be unsynchronized?
I'm not sure I understand the question. Are you asking if two clocks at opposite ends of a train car that has a constant velocity will stay in sync once you have synchronized them? The answer to that question is yes. But if the observer at rest in the train describes them as synchronized, and the train's velocity relative to the ground is non-zero, then an observer at rest on the ground would describe the clocks as showing different times, and always differing by the same amount.
 
  • #25
ash64449 said:
if i synchronize the two clocks in a train and if the train moves in an inertial system,will my clocks be unsynchronized?
But if you are asking if you synchronize your clocks while the train is at rest in an inertial system and then the train accelerates to some speed in the inertial system, the clocks will become unsynchronized.
 
  • #26
ghwellsjr said:
See the paragraph about Romer's experiment in the wikipedia article on the One-way Speed of Light.

I have read your pointing out article from Wikipedia. From it,i understood that if we bring on the two clocks together and synchronize them and then take a clock at some speed and take it back again,we can see that the two clocks remain out of synchronization.

So the method of slow transport is used,so that clock that is moving remains synchronized.(well,there will be a slight amount of out of synchronization)

Well,based on the above facts,i have found out a way to measure the one-way speed of light!

This involves a series of experiments and some amount of calculation.

From the Wikipedia article,i found out that for example,think about two clocks together,synchronized and the amount by which clocks get un synchronized depends upon the velocity and for how much time that clock remained in that specific velocity.

We need to conduct this experiment:

We should take two identical clocks. they have to be synchronized. take for example a clock 30 meters apart and make that clock move for about 15 meters per second. now look at the amount by which the clocks were un synchronized. Now keeping the same distance,make the clock move at 30 meters per second. Now look by how much amount clocks remain un synchronized.

Conducting many times these experiment,we will find a pattern and a relationship between the amount of un synchronization and with the velocity that clock is moved.

When we have successfully completed this experiment, I will provide you friends a way we can measure one-way speed of light!

For this we need two persons and two clocks which are synchronized. make a person move for example a distance of 'c'. Now the person which has moved now knows how much or how much amount his clocks are unsynchronized. so he will reverse it and make his clock synchronized.

Now think a person has send out a light beam.he notes the time. the other person notes time when he receives the signal. when they rejoin,we will find the time interval and we know distance. so we can now measure speed. and this is off course measuring one-way speed of light.

Do you think this will work out?
 
  • #27
ash64449 said:
We should take two identical clocks. they have to be synchronized. take for example a clock 30 meters apart and make that clock move for about 15 meters per second. now look at the amount by which the clocks were un synchronized. Now keeping the same distance,make the clock move at 30 meters per second. Now look by how much amount clocks remain un synchronized.

Conducting many times these experiment,we will find a pattern and a relationship between the amount of un synchronization and with the velocity that clock is moved.

How are you going to measure the amount of desynchronization?
EITHER:
1) You exchange information between the two clocks in which case you are, one way or another, assuming the constant speed of light or performing a two-way measurement; OR
2) You bring the clocks back together to compare them, in which case you're no longer measuring the desynchronization at the remote location, which is what you need for a one-way measurement.
 
  • #28
Nugatory said:
How are you going to measure the amount of desynchronization?
EITHER:
1) You exchange information between the two clocks in which case you are, one way or another, assuming the constant speed of light or performing a two-way measurement; OR
2) You bring the clocks back together to compare them, in which case you're no longer measuring the desynchronization at the remote location, which is what you need for a one-way measurement.

yes. We measure the amount of desynchronization from a round trip.just add the distance. Here total distance 60 m. Find out desyncronization. Repeat the experiment with different velocity but keeping the full round trip distance same. Here we found out the amount. So two persons know how much clocks would be desynchronized with any velocity.so even if that person moves some distance,he knows how much his clock will be out of synchroniztion without the need of them to join together.

I think this answer's your question.

Don't you think this method would work?
 
  • #29
ash64449 said:
yes. We measure the amount of desynchronization from a round trip.just add the distance. Here total distance 60 m. Find out desyncronization. Repeat the experiment with different velocity but keeping the full round trip distance same. Here we found out the amount. So two persons know how much clocks would be desynchronized with any velocity.so even if that person moves some distance,he knows how much his clock will be out of synchroniztion without the need of them to join together.

I think this answer's your question.

Don't you think this method would work?
If you use the round trip you're using the 2-way speed of light. You want the desynchronisation for half the trip. You might assume its half the desynchronisation of the full trip, but that's an assumption, not a measurement.
 
  • #30
DrGreg said:
If you use the round trip you're using the 2-way speed of light. You want the desynchronisation for half the trip. You might assume its half the desynchronisation of the full trip, but that's an assumption, not a measurement.

yeah.you are right.
But we can make distance differ too.
How about reducing the distance to 15 meters?
Then full round-trip will have 30 meters.
Compare the earliar result that was done for total round trip distance of 60 meters(same velocity). Find if there is a pattern.

Can't this help? I mean we got desynchronization for 30 meters. Now conduct the first experiment of one-way trip.

Hope you have got the point.
 

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