Vaniver comments on Stupid Questions, December 2015 - Less Wrong

5 Post author: polymathwannabe 01 December 2015 10:40PM

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Comment author: Vaniver 06 January 2016 09:16:50PM 0 points [-]

Why don't ordinary photons spontaneously collapse into black holes?

How do you know that ordinary photons aren't black holes?

Comment author: gilch 06 January 2016 09:57:27PM *  0 points [-]

I think I see where you're going with this. If I can answer the question of how the universe would be different if photons did collapse, that might help explain why they don't.

That applies to anything, not just photons.

What would the world look like if, say, electrons were actually black holes with an electric charge? I do think black holes can be electrically charged, that is, charge is still conserved even if charged particles fall into a black hole. Same with angular momentum etc. We would expect black holes of electron mass to spontaneously decay via Hawking radiation. Into a shower of particles that in sum obey the conservation laws... in other words, into another electron. Hmm. That didn't really change anything did it? It might help to explain quantum tunneling though.

I would also expect electrons to have an event horizon of finite radius, rather than behaving as an infinitesimal point. I don't know enough general relativity to calculate how big this should be for a black hole of electron mass, but perhaps it's too small for us to have observed yet. (Edit: asking Wolfram Alpha yields 1.353E-57 meters. Plank Length is only 1.616E-35 meters, far too small to observe.) An event horizon means that light can be trapped by the gravity of the electron. Which would give the black hole enough extra mass to spontaneously decay into more than just an electron. In the case a low-energy photon, into another electron and photon (explains photon scattering), or if high-enough energy, into heavier particles that add up to zero charge and spin, plus the election again. Like positron/electron pair production. Which has also been observed. Hmm. That still didn't change anything, did it?

Maybe electrons really are black holes?

Oh, I know! Neutrinos are as massive as electrons (edit: not really, but they do have positive rest mass), but lack charge. If electrons are black holes, then neutrinos are also. The effect of gravitationally scattering light as described above should work for neutrinos too, but to my knowledge, they don't. (Do they?)