A Does CPT Symmetry Apply to a Mirror World with Reversed Properties?

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The discussion explores the implications of CPT symmetry in a hypothetical mirror world where parity and time are reversed. It posits that if charge is also reversed, the same physical laws would apply, but if different laws are assumed, charge should remain unchanged. The conversation raises questions about the production of "copy-electrons" in such a world and the need for clarity on which laws of physics are retained or altered. Additionally, it touches on the violation of interactions when only one of charge, parity, or time is reversed. Overall, the complexities of applying CPT symmetry to a mirror world highlight significant theoretical challenges.
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Given a copy of our world with parity and time reversed, should charge remain the same if different physics law govern the copy world?
Say we have a copy of our world, but with the "parity" and "time" reversed. (For example, the mirror world from the novel "Alice Through the Looking Glass".)

If the "charge" is also reversed, then due to the CPT symmetry, the same physics law would apply to the mirror world, right?

If we assume that different physics law are applied in the mirror world, then does it mean that the "charge" should remain unchanged from our world?
 
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Since PT is not a symmetry you need C in addition to get a precise copy of our world ;-). Without also applying C you get another world, where the weak interaction looks different than in ours.
 
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vanhees71 said:
Since PT is not a symmetry you need C in addition to get a precise copy of our world ;-). Without also applying C you get another world, where the weak interaction looks different than in ours.
Yeah, so since the mirror world in the novel "Through the looking glass" seemed to have different physics law compared to ours, and since parity and time seems to be reversed, then charge should remain same as our world, right? :)
 
questionner said:
Say we have a copy of our world
How does this work? Why don't we see copy-electrons pair produced in the same processes where we see real electrons pair produced?

It sounds like you want to suspend some but not all of the laws of physics and see what happens. That's fair, but you need to be very., very clear about what you are keeping and what you are throwing away.
 
Vanadium 50 said:
How does this work? Why don't we see copy-electrons pair produced in the same processes where we see real electrons pair produced?

It sounds like you want to suspend some but not all of the laws of physics and see what happens. That's fair, but you need to be very., very clear about what you are keeping and what you are throwing away.
I was just simply thinking of a hypothetical world, like people saying the world with all CPT reversed have the same physics as our world.

Another thing I am curious about is that a magnetic dipole with only one of C or P or T reversed is different from the original one. What interaction is violated here?
 
questionner said:
If we assume that different physics law are applied in the mirror world, then does it mean that the "charge" should remain unchanged from our world?
If you assume that, all bets are off. Anything could happen.
 
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