yuiop
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A. Neumaier said:Only people informed primarily by lay men's literature claim that. See Chapter A7 of my theoretical physics FAQ at http://arnold-neumaier.at/physfaq/physics-faq.html#A7 and the PF thread https://www.physicsforums.com/showthread.php?t=460685
Hi, I read some of your FAQ which I found interesting. This part about what really happens in Hawking radiation caught my interest:
What happens is that the high energy of the gravitational field of the
black hole creates real particle-antiparticle pairs -- that before
that event it could be viewed in terms of Feynman diagrams as virtual
is completely irrelevant to his argument.
One of these real particles is swallowed by the black hole, the other
is radiated away. As a result, the black hole loses radiation, hence
total energy, and its effective mass decreases because of mass-energy
equivalence.
OK, the phrase "the black hole loses energy" is a bit vague. Let's try and define it a bit more clearly. Let us say that the black hole is the region enclosed within r=2M. The gravitational field of said black hole extends all the way to infinity and so by definition cannot lose anything, so let's for the sake of argument define the "high energy" gravitational field of the black hole as an arbitrary region from r>2M to r=3M. Some of this gravitational energy condenses into a real particle-antiparticle pair. Both real particles and real antiparticles have positive energy. Let us say that the gravitational field loses 2 units of energy in the creation of these real particles. One of these real particles has a trajectory that takes it beyond r=3M and represents energy/mass radiated from the gravitational field external to the black hole. There is a 50% probability that this radiated particle is an antiparticle and so I prediction of this explanation is that if Hawking radiation is detected it will consist to 50% real particles and 50% real antiparticles. Is that correct?
Now the remaining particle of the pair falls into the black hole. Whether this infalling particle is a particle or an antiparticle is immaterial, because either way it has positive energy and adds to the total mass/energy of the black hole. Now in the original popular interpretation of Hawking radiation, the infalling particle was a virtual particle with negative energy and the addition of this virtual particle to the black hole diminished the black holes mass, but if we do not accept the "reality" of virtual particles then we do not allow ourselves the luxury of this negative energy explanation.
So what have we ended up with. The gravitational field outside the black hole is losing energy by radiating particles and the black hole itself is gaining mass? Eventually we end up with a black hole with increased mass but no energy in its external gravitational field? A very strange situation. Of course, I am probably missing the point greatly. Could you clarify?
It would seem that while mass and energy cannot escape from a black hole, mass inside the black hole somehow converts to gravitational energy that can seep out of the black hole on the quiet. Then it condense into particles outside the event horizon and is radiated, thereby bypassing the restriction on energy not being able to cross outwards across the event horizon.
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