- #1
matmos101
- 7
- 0
I'd like to consider a primordial black hole in the absence of Hawking radiation.
When you consider the case of a primordial black hole with a Schwarzschild radius on the same order as the radius of a proton, I calculate its mass to be at around 6.75x10^11 Kg. If I then calculate the gravitational force this PBH would exert on, say, a neutron sitting at about the same distance as the ground state orbital radius of a Hydrogen atom's electron, I come up with 2.69x10^-5 N. This is greater than the electostatic binding force that a Hydrogen nucleus exerts on its electron at this distance. Considering this fact, I can imagine such a PBH acquiring bound particles until it becomes the seed of a macroscopic object, since unlike a normal atom that stops acquiring electrons once it becomes electrically neutral, the gravitational force the PBH exerts would only be diminished by distance.
First question: Since Hawking Radiation is theoretical, would this be the expected behavior of a primordial black hole if it turns out that Hawking radiation doesn't exist?
Second question: I understand the basic mechanism of Hawking radiation. But why wouldn't particles produced by the Hawking radiation mechanism become gravitational bound, since the binding force would seem to be at least a strong as the electrostatic force that holds atoms together? Is there some reason that all such particles are extremely energetic?
When you consider the case of a primordial black hole with a Schwarzschild radius on the same order as the radius of a proton, I calculate its mass to be at around 6.75x10^11 Kg. If I then calculate the gravitational force this PBH would exert on, say, a neutron sitting at about the same distance as the ground state orbital radius of a Hydrogen atom's electron, I come up with 2.69x10^-5 N. This is greater than the electostatic binding force that a Hydrogen nucleus exerts on its electron at this distance. Considering this fact, I can imagine such a PBH acquiring bound particles until it becomes the seed of a macroscopic object, since unlike a normal atom that stops acquiring electrons once it becomes electrically neutral, the gravitational force the PBH exerts would only be diminished by distance.
First question: Since Hawking Radiation is theoretical, would this be the expected behavior of a primordial black hole if it turns out that Hawking radiation doesn't exist?
Second question: I understand the basic mechanism of Hawking radiation. But why wouldn't particles produced by the Hawking radiation mechanism become gravitational bound, since the binding force would seem to be at least a strong as the electrostatic force that holds atoms together? Is there some reason that all such particles are extremely energetic?