Boredom and numbers
Sigh it's quiet and I'm alone so I've been thinking. Those of you that actually know me I'm working towards a Degree in Astrophysics and I've been working on a theory for my thesis dealing with Hawking Radiation and how I agree with Dr. Leonard Susskind that Hawking is actually wrong in his assumptions.
So I've been going over the equations for Hawking radiation, the cream of this being:
T = _1_ X _c³h_
16π² GMk
Now if you notice, the mass of the object is in the denominator, what this tells us is that the greater the mass the lower the temperature. A Super Massive Black Hole, like those found in the center of most galaxies will have a massively smaller temperature then Stellar Black Holes(Those made from the remnants of dead stars)
The problem is, as Dr. Susskind shows in his book; "The Black Hole Wars" that when you start plugging in numbers into the equation that you begin to get temperatures so low for even things like Stellar Black Holes that it boggles the mind. Dr. Susskind shows that if you take a Black Hole with the mass of 5☉ you end up with a Black hole with a temperature of only 10-8K. Nothing ever found within the viewable universe has a temperature this low. You're talking this is just factions of a temperature away from being absolute zero. Now if you run the same equations with something the size of our Moon or Mercury you'll finally start reaching temperatures of around 1k.
Hawking radiation states that a Black Hole will release radiation and will, over time, slowly evaporate. If this is true, then even the biggest Black Holes, will one day reach very small sizes, and as the equations suggests, the smaller the Mass of a Black Hole the higher the temperature gets. Once one of these objects get down to the size of a Car or person the temperature will rise to immense numbers, and if one happens to get down to the size so small that it's Schwarzschild Radius is equal to that of a Planck Length, you're talking temperatures that exceed anything outside of the Big Bang.
Just some food for thought, I'll pick this up at a later date...
So I've been going over the equations for Hawking radiation, the cream of this being:
T = _1_ X _c³h_
16π² GMk
Now if you notice, the mass of the object is in the denominator, what this tells us is that the greater the mass the lower the temperature. A Super Massive Black Hole, like those found in the center of most galaxies will have a massively smaller temperature then Stellar Black Holes(Those made from the remnants of dead stars)
The problem is, as Dr. Susskind shows in his book; "The Black Hole Wars" that when you start plugging in numbers into the equation that you begin to get temperatures so low for even things like Stellar Black Holes that it boggles the mind. Dr. Susskind shows that if you take a Black Hole with the mass of 5☉ you end up with a Black hole with a temperature of only 10-8K. Nothing ever found within the viewable universe has a temperature this low. You're talking this is just factions of a temperature away from being absolute zero. Now if you run the same equations with something the size of our Moon or Mercury you'll finally start reaching temperatures of around 1k.
Hawking radiation states that a Black Hole will release radiation and will, over time, slowly evaporate. If this is true, then even the biggest Black Holes, will one day reach very small sizes, and as the equations suggests, the smaller the Mass of a Black Hole the higher the temperature gets. Once one of these objects get down to the size of a Car or person the temperature will rise to immense numbers, and if one happens to get down to the size so small that it's Schwarzschild Radius is equal to that of a Planck Length, you're talking temperatures that exceed anything outside of the Big Bang.
Just some food for thought, I'll pick this up at a later date...