Is Proper Time=0 Equivalent to Saying Proper Time Doesn't Apply?

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Discussion Overview

The discussion centers around the concept of proper time in the context of photons and special relativity. Participants explore whether stating that proper time equals zero for a photon is equivalent to saying that proper time does not apply to it. The conversation touches on definitions, implications, and interpretations of proper time, particularly in relation to light-like paths and the nature of spacetime intervals.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants assert that proper time does not apply to photons because no clock can travel at the speed of light.
  • Others propose that proper time can be defined as zero for photons, depending on the convention used regarding spacetime intervals.
  • A participant mentions that some definitions of proper time only apply to spacetime intervals with a squared length greater than zero, which would exclude light-like paths.
  • Another viewpoint suggests that the term "proper time" could still apply to light-like paths if one accepts zero-length intervals as valid.
  • Concerns are raised about the implications of associating proper time or proper length with photons, suggesting it may overlook important concepts in special relativity.
  • Some participants discuss the implications of cosmological expansion on the definitions of speed and distance, questioning whether a clock could theoretically move at or faster than the speed of light in certain frames.
  • There is a discussion about the arbitrariness of defining simultaneity and how it affects the measurement of distances between cosmologically distant objects.
  • Participants explore the idea that galaxies may not be moving through spacetime, but the distance between them is increasing due to the expansion of the universe.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of proper time to photons, with no consensus reached. Some agree that proper time cannot apply to photons, while others argue that it can be defined as zero under certain conventions. The discussion also reveals competing interpretations of cosmological expansion and its implications for measuring distances and velocities.

Contextual Notes

Participants highlight limitations in definitions and assumptions regarding proper time and spacetime intervals, as well as the complexities introduced by cosmological expansion. The discussion remains unresolved regarding the implications of these concepts.

  • #31
From what I know, the laws of physics being the same in all referential frames is usually interpreted with specific examples where if in one frame a rope breaks that means that it must break in all other reference frames, so I'm trying to understand how does a non-existing referential frame agree with the fact that in our reference frame the photon has certain laws.
 
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  • #32
Nick666 said:
From what I know, the laws of physics being the same in all referential frames is usually interpreted with specific examples where if in one frame a rope breaks that means that it must break in all other reference frames, so I'm trying to understand how does a non-existing referential frame agree with the fact that in our reference frame the photon has certain laws.
The claim that "the laws of physics are the same in all inertial reference frames" entails no prediction whatsoever about what the laws of physics are like in non-existent reference frames.
 
  • #33
jbriggs444 said:
entails no prediction whatsoever about what the laws of physics are like in non-existent reference frames.
So then how come we from our frame of reference know or are so convinced that our laws of the photon are true ? (I sense maybe its a stupid question but I had to do it)
 
  • #34
The principle of relativity itself implies an invariant speed. If that speed is infinite you get Newtonian physics. If it is finite you get relativistic physics.

See http://arxiv.org/abs/physics/0302045.
 
  • #35
Nick666 said:
So then how come we from our frame of reference know or are so convinced that our laws of the photon are true ? (I sense maybe its a stupid question but I had to do it)

Our laws are our laws. They apply to all objects, including photons. How a hypothetical photon would make up a hypothetical law of physics to hypothetically describe how things look from its hypothetical point of view is irrelevant. The photon is not telling us what it sees.
 
  • #36
Nick666 said:
Just so I don't open another thread.

If the photon doesn't have a referential frame, and relativity says the laws of physics are the same in all referential frames, can't one say that the laws of physics are ...not...the same for the photon ?
No, because when someone says "the laws of physics are the same in all reference frames", they are being a bit sloppy with the English language. It would be more accurate (but sounds clumsier, which is why we don't often say it this way) to say "The law of physics produce the same results no matter what reference frame you use to assign times and positions to events". Phrased this way, it is clear that the aws of physics apply to everything, whether we can find a reference frame in which it is at rest or not.
 
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