How Does the Twin Paradox Illustrate Time Dilation in Relativity?

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Discussion Overview

The discussion centers on the twin paradox and its implications for understanding time dilation in the context of special relativity (STR). Participants explore the symmetry of time dilation effects between two observers moving relative to each other and the conceptual challenges that arise from this symmetry.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the symmetrical nature of time dilation, noting that both observers perceive the other's clock as running slower.
  • Another participant clarifies that while each observer sees the other's clock running slowly, in their own frame, their clock operates normally, which is a key aspect of STR.
  • A later reply acknowledges the symmetry and suggests that this is a central issue in understanding the twin paradox.

Areas of Agreement / Disagreement

Participants generally agree on the symmetry of time dilation effects but express uncertainty about the implications of this symmetry in the context of the twin paradox. The discussion remains unresolved regarding the deeper understanding of these effects.

Contextual Notes

There are limitations in the discussion regarding assumptions about the frames of reference and the implications of time dilation, which are not fully explored or resolved.

blackwizard
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Iv been reading the fabric of the cosmos and its my 1st and only source on theoretical physics. I reckon i understand str from it, i can work spacetime diagrams and lorentz transforms but my understanding must b wrong somewhere.

Str says the faster an object moves the slower time flows for it. let's say 2 objects are movin at v m/s relative 2 each other. Object A looks at B and says I am stationary and ur movin at v m/s so time shud flow slower for u. Object B looks at A and says no I am stationary and ur movin at v, time flows slower for u.

I also can't see how 1 can be right since their is no difference between them
 
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blackwizard said:
Str says the faster an object moves the slower time flows for it.
STR says that the clocks in a moving frame run slower as measured by observers in the "nonmoving" frame. The faster the moving frame moves with respect to the "nonmoving" frame, the greater the effect. But in its own frame, the "moving" clock operates just like it always does. (After all, we are moving with respect to some other frame right now--do you feel time running any slower? :wink: )

And yes, the effects of relativity (on clocks and metersticks) are completely symmetric. If B is moving with respect to A, they each measure the other's clocks as running slowly compared to their own.
 
Class! They're both right is an answer i should have assumed.

"they each measure the other's clocks as running slowly compared to their own" was what i thought there was a problem with.

Thanks
 
blackwizard said:
"they each measure the other's clocks as running slowly compared to their own" was what i thought there was a problem with.

that's sort of what the "twin paradox" is about.
 

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