Symetry, time dilation, twin paradox and all that stuff

Click For Summary

Discussion Overview

The discussion revolves around the twins paradox, exploring the implications of symmetry breaking in special relativity, time dilation, and the concept of proper time. Participants delve into the mathematical underpinnings of these concepts, referencing both theoretical scenarios and experimental examples.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty in understanding the twins paradox and questions the mathematical basis for the broken symmetry due to acceleration and differing inertial frames.
  • Another participant defines "proper time" as the time measured by a clock moving along a worldline, noting that different observers may disagree on elapsed time between events in relativity.
  • A detailed example is provided using Lorentz transformation equations to illustrate the time experienced by each twin during a round-trip journey, emphasizing the asymmetry in their experiences due to differing inertial frames.
  • The example includes calculations for elapsed time in both twins' reference frames, highlighting the role of acceleration and the need for full Lorentz transformations rather than simplified equations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the interpretations of the twins paradox and the implications of proper time. Multiple competing views and interpretations of the mathematical framework remain present throughout the discussion.

Contextual Notes

Some limitations are noted, such as the dependence on the definitions of proper time and the assumptions made regarding instantaneous acceleration. The discussion also reflects unresolved mathematical steps in the application of Lorentz transformations.

  • #31
"and there is just no way to tell what it is, you can also understand the question of their relative ages not to have an objective frame-independent answer at all"

But that's why I said, that to me, this has something of the 'flavour' of QM - the 'not knowing' in an objective sense - until one actually meets (which to me is like opening the box and making an observation)

It may not have any real physical similarity but I seem to find it easier to accept when I can see parallels/analogies. Some people have a lot of difficulty dealing with QM and it's apparently odd interpretations and all the uncertainty and etc. I have personally never found it hard to swallow QM ideas, but for some reason I do find these 'apparent paradoxes' in relativity excruciatingly difficult.

Thanks for your help though - I am beginning, I think, to make more sense of this thanks to you.

Cheers

Peter
 
Physics news on Phys.org
  • #32
If the twin paradox were like QM, assuming that a twin even had a definite age would lead to logical contradictions.

SR is really a lot simpler than QM. A twin has a "proper age" as measured in their own frame of reference (one can call this a writwatch age). This is a definite number, not one of those quantum things that is forbidden to have a definte value.

The only thing that's a bit odd about the behavior if this age is due to the fact that space and time are interconnected. Experimentally, one finds that when one twin moves around, his wristwatch age or proper age is not the same as that of the other twin when they meet again. And that's really all there is to it. If you move a clock around in a loop, it won't read the same as a clock that stays put. This is a fundamental feature of physics.
 
  • #33
resurgance2001 said:
"and there is just no way to tell what it is, you can also understand the question of their relative ages not to have an objective frame-independent answer at all"

But that's why I said, that to me, this has something of the 'flavour' of QM - the 'not knowing' in an objective sense - until one actually meets (which to me is like opening the box and making an observation)
But in QM, one can make a measurement of some variable like position and get an objective answer which would be true for everyone. In relativity, questions like the relative age of two separated twins have no objective answer, they are just frame-dependent. Would you also say that velocity in Newtonian physics is QM-like because there is no objective answer about an object's velocity, it depends on what frame you use? Would you say that the slope of a line on a 2D plane is QM-like, because the value of the slope depends on how you orient your coordinate axes? Would you say that the x-coordinate of an object in space is QM-like because it depends on where you choose to place the origin of your coordinate system? I really think the geometric analogy is best here, and few would argue that just because things like x-coordinate or slope have no single coordinate-independent value, that implies that we somehow can't have a totally objective picture of reality, whereas QM poses more of a real problem for those who want such an objective picture (although various 'interpretations' of QM do allow an objective description of the world independently of what we choose to measure).
resurgance2001 said:
Some people have a lot of difficulty dealing with QM and it's apparently odd interpretations and all the uncertainty and etc. I have personally never found it hard to swallow QM ideas
That may mean you don't understand it well enough! For example, would you agree that a measuring device should obey the same fundamental laws as the system it's measuring, since they're both just collections of the same type of fundamental particles? Would you say the fundamental laws of physics should be able to describe the entire universe, without the need for an external measuring device? QM poses difficulties for these notions, in a way that is unlike all non-quantum theories.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 115 ·
4
Replies
115
Views
9K
  • · Replies 70 ·
3
Replies
70
Views
7K
  • · Replies 24 ·
Replies
24
Views
2K
  • · Replies 54 ·
2
Replies
54
Views
4K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 25 ·
Replies
25
Views
3K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 24 ·
Replies
24
Views
5K
  • · Replies 20 ·
Replies
20
Views
3K