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1. Often I see units where ##G=c=\hbar=1##, but what is the charge of an electron in these units? Everyone says M=Q as if it was somehow obvious how much charge corresponds to 1 kg.

2. Does a charged black hole, far away from other matter, keep its charge, or does it get rid of the charge by emitting more electrons than positrons (or the reverse)?

I don't quite understand https://arxiv.org/abs/1503.04944v2 but it seems to say that the charge is constant:

but the last page of https://arxiv.org/abs/hep-th/0602146 clearly has equations for outgoing current flow. Again, the actual math is well outside my knowledge.bottom of page 7 said:Namely, the field equations require that Φ is a real field and the electric charge Q is constant.

3. If I throw matter into a black hole, and gather the outgoing radiation, and convert it into matter, have I just violated the conservation of lepton number and baryon number?

While I am at it,

4. If I surround a black hole with a charged (metal) sphere, will its Hawking radiation be the same as without the sphere, namely, will it emit charged particles? (If needed for the answer, the excess opposite charge is stored in a space station orbiting the sphere.)