Speed of Light: Measuring Meters and Seconds

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Discussion Overview

The discussion revolves around the measurement of the speed of light, denoted as c, and the implications of special relativity (SR) on this measurement. Participants explore who is responsible for measuring time and distance in this context, the effects of time dilation, and the validity of physical laws at speeds approaching that of light.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants question who is measuring meters and seconds when defining the speed of light as c m/s, suggesting that this measurement depends on the observer's reference frame.
  • Others argue that time dilation does not affect the speed measured for objects relative to oneself, but rather affects how fast a moving clock ticks as perceived by the observer.
  • There is a contention about whether the laws of physics that apply at speeds close to light can also be applied at the speed of light itself, with some asserting that they should be valid while others express skepticism.
  • Some participants propose analogies, such as comparing a photon to a train, to illustrate their points about time dilation and length contraction, while others challenge these analogies as misleading.
  • One participant emphasizes that "c" is a constant in any inertial frame, and that attempting to transform to the light's reference frame violates the postulates of SR.
  • There is a discussion about the mathematical implications of dividing by zero in the context of time dilation equations, with some participants asserting that it leads to undefined results.
  • Some participants clarify that measurements of speed rely on the observer's own clocks and rulers, regardless of the state of the object being measured.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the measurement of the speed of light and the implications of special relativity. There is no consensus on the validity of applying physical laws at the speed of light or the interpretation of time dilation in this context.

Contextual Notes

Participants highlight limitations in understanding the application of time dilation and length contraction, particularly when discussing objects moving at the speed of light. The discussion also reflects varying interpretations of the mathematical principles involved.

Gadhav
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TL;DR
SR theory
When we say speed of light = c m/s. Who is measuring meters and second. From SR perspective, that photon is moving towards you at speed of light so there should be time dilation, correct?
 
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Gadhav said:
When we say speed of light = c m/s. Who is measuring meters and second.
Anybody, so long as their clocks and rulers are moving at the same constant velocity.
Gadhav said:
From SR perspective, that photon is moving towards you at speed of light so there should be time dilation, correct?
Why would what the light pulse is doing affect your clocks and rulers? Also, the time dilation equations cannot be applied to things moving at the speed of light - it turns out to be self-contradictory to try to do so.
 
Ibix said:
Anybody, so long as their clocks and rulers are moving at the same constant velocity.

Why would what the light pulse is doing affect your clocks and rulers? Also, the time dilation equations cannot be applied to things moving at the speed of light - it turns out to be self-contradictory to try to do so.
Why not. If we assume that photon is a train traveling towards you or away from you, the time from that should appear to dilate and length contract from my reference frame, right? Whether it is moving at speed of light or not can be moot. Laws of physics if give you results at 99.999999% speed of light ,that should be valid at c too. So I am still confused on who is measuring the time and distance to measure speed of photon.
 
If you know this.

Gadhav said:
Laws of physics if give you results at 99.999999% speed of light ,that should be valid at c too.

Then, why can't you answer your own question?

Gadhav said:
So I am still confused on who is measuring the time and distance to measure speed of photon.

How can you be so sure about one thing when you are confused about the another?
 
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Gadhav said:
Summary:: SR theory

When we say speed of light = c m/s. Who is measuring meters and second. From SR perspective, that photon is moving towards you at speed of light so there should be time dilation, correct?
Time dilation has no effect on the speed we measure for objects moving relative to ourselves. It would effect how fast we would determine that a clock moving relative to ourselves ticks.
If you have a clock and you measure an identical clock moving at 0.886c relative to you, you would determine that the other clock ticks ~1/2 as fast as your own. Someone with the other clock would, in turn, measure you and your clock as having a relative velocity of 0.866c relative to him, and would determine that your clock ticks ~1/2 as fast as his own.
As to what Ibix said about time dilation not applying to light, if you try to put c in for v in the time dilation equation, you end up with an equation of t = `t/0. Division by 0 is undefined and has no answer.
 
Gadhav said:
If we assume that photon is a train traveling towards you or away from you, the time from that should appear to dilate and length contract from my reference frame, right?
A photon is not a train. Clocks on the train would, indeed, be slowed down as measured by my clocks. But my clocks and rulers are not affected by that, and it is my clocks and rulers that I use to measure speed.
Gadhav said:
Whether it is moving at speed of light or not can be moot. Laws of physics if give you results at 99.999999% speed of light ,that should be valid at c too.
Why? You can't make a clock that travels at the speed of light, so why must we be able to describe what would happen to something impossible? And I'm not sure time dilation is really a "law of physics" anyway. It's a coordinate effect - so perhaps a decent analogy is you asking which way is north from the north pole, me saying there's no such thing, and you insisting that you can go north from everywhere else, so you must be able to go north from the north pole. That isn't remotely analogous to the physics, but pretty good for the sense of the question.
Gadhav said:
So I am still confused on who is measuring the time and distance to measure speed of photon.
You are, with your clocks and rulers. Or I am. Or a guy in the train you mentioned. As long as we're all using our own clocks and rulers, anybody can do it.
 
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Gadhav said:
So I am still confused on who is measuring the time and distance to measure speed of photon.
Isn't it a bit self evident that it is whoever is doing the measuring that is measuring the time and distance?
I want to measure the speed of a photon. I have a clock to measure the time, and a meter stick to measure the distance.( both at rest with respect to myself). I note how much time ticks on my clock for the photon to travel a distance measured by my measuring stick and get the speed of the photon relative to me.
 
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Gadhav said:
If we assume that photon is a train traveling towards you or away from you, the time from that should appear to dilate and length contract from my reference frame, right?

This has nothing whatever to do with measuring the speed of the train relative to you. When you measure the speed of the train relative to you, you don't care how the train's clocks are ticking or how long its rulers are compared to yours, because you're not using the train's clocks and rulers to measure its speed, you're using your own. Your own clocks and rulers are at rest relative to you, so they aren't dilated or contracted at all.
 
Gadhav said:
Why not. If we assume that photon is a train traveling towards you or away from you, the time from that should appear to dilate and length contract from my reference frame, right? Whether it is moving at speed of light or not can be moot. Laws of physics if give you results at 99.999999% speed of light ,that should be valid at c too. So I am still confused on who is measuring the time and distance to measure speed of photon.

"c" is a constant in any inertial frame, which is why Galilean transformation doesn't work.

You attempted to make one serious flaw here, in which it appears that you are attempting to transform to the light's reference frame. This will violate all postulates of SR (and thus, you can no longer use any of SR's equations and conclusions, meaning that the concept of "time dilation" and "length contraction" are no longer valid).

No matter which inertial reference frame you measure c, there is no ambiguity in its value, because SR has indicated that you will always measure the same value, and thus, the consequences of SR (which are time dilation and length contraction, among others).

And yes, there is a HUGE difference between 0.9999c and c.

Zz.
 
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Gadhav said:
When we say speed of light = c m/s.
Minor quibble, but the speed of light is c. Full stop. c is a speed, not a number.

If you want to express the speed of light in meters per second, it is about 300,000,000 m/s. The 300,000,000 there is a number not a speed.
 
  • #11
Gadhav said:
Laws of physics if give you results at 99.999999% speed of light ,that should be valid at c too.
Which laws are you referring to? People routinely accelerate particles to speeds that are 99.99999% of the speed of light. They have little trouble measuring their speed or the speed of light, either. And they use the same laws of physics to do both.
 
  • #12
Gadhav said:
Laws of physics if give you results at 99.999999% speed of light ,that should be valid at c too.
It equates to the difference between dividing 1 by 0.0000000...1 and dividing 1 by zero.
No matter how many zeros the ... represents, as long as you end with a final 1, you will get a finite answer. A number that you can multiply by 0.0000000...1 and get a result of 1. 1/0 doesn't yield such an answer. As there is no number that can be multiplied by 0 and give a result of 1.
So no matter how close to zero the number you divide zero by is, there is a world of difference between that and dividing by 0 itself,
 

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