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+--- Thread: Wormholes do not conserve charge (/showthread.php?tid=4095)
Wormholes do not conserve charge - Tachyon - 04-09-2019
tl;dr Passing a charged particle through a wormhole does not leave the mouth charged
https://arxiv.org/pdf/1904.04103.pdf
This pretty conclusively resolves the discussion between Luke and I in my favor.
Note Figure 6 (the standard argument) vs. Figure 9, which is essentially what I argued: Stoke’s Theorem does not hold in non-trivial topologies.
An extra technical consideration is the “Gauge-free” condition, which essentially says that background Maxwell fields (e.g. H) are well-defined.
I did not consider the gauge-free condition. Both are required for charge conservation to occur, and both are violated in intra-universal wormholes (see the end of section V).
By the way, this is a good thing. If it were not true, you could generate infinite charge from a single charged particle by repeatedly passing it through wormhole mouths.
In this formulation, the charge is still the same no matter how many times it’s threaded through the wormhole.
RE: Wormholes do not conserve charge - Rynn - 04-09-2019
Interesting. If a wormhole can’t be charged I imagine it can’t be moved with a magnetic field. Given that they also aren’t physical objects you can manipulate with physical tools what anchors a wormhole to a linelayer for transportation?
RE: Wormholes do not conserve charge - Tachyon - 04-09-2019
(04-09-2019, 04:55 PM)Rynn Wrote: Interesting. If a wormhole can’t be charged I imagine it can’t be moved with a magnetic field. Given that they also aren’t physical objects you can manipulate with physical tools what anchors a wormhole to a linelayer for transportation?
You can still charge a wormhole by keeping said charge in the throat.
The wormhole doesn’t retain that charge once it has passed into the other asymptotically flat region.
RE: Wormholes do not conserve charge - Rynn - 04-09-2019
Ahh I see. Thanks for explaining
