If so, are they proportional to some constant?
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Well, some of us base our understanding on provable, testable science instead of stupid , retarded ,bronze-age fairy tales written by ignorant savages. There is no proof for the existence of yahweh, thor, krishna, or any other made-up, invented "god". Take your baloney elsewhere.
I wish religious nutcases would stay out of the Science and Mathematics section of YA. They have zero business here.
Sorry, Borovich, for my rant, but I'm really tired of those people posting their nonsense here.
Now, to answer your question. Black hole entropy is proportional to the surface area of the event horizon ( 4 x 3.14 x R^2 where R = Schwarzschild radius) That radius increases as the black hole gains mass. So ,yes, entropy increases with increasing black hole mass.
I wish religious nutcases would stay out of the Science and Mathematics section of YA. They have zero business here.
Sorry, Borovich, for my rant, but I'm really tired of those people posting their nonsense here.
Now, to answer your question. Black hole entropy is proportional to the surface area of the event horizon ( 4 x 3.14 x R^2 where R = Schwarzschild radius) That radius increases as the black hole gains mass. So ,yes, entropy increases with increasing black hole mass.
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Yes, it does.
In fact, the event horizon, or Schwarzschild Radius, of a non-rotating black hole is the only relevant property one can use to describe a singularity; the Schwarzschild Radius defines a sphere centered about the singularity inside of which the gravity well is so steep that light cannot escape.
When mass or energy crosses the event horizon, no information as to its specific composition will ever again be detectable by an outside observer. These 'swallowed' entities will, however, increase the Schwarzschild Radius as if they had added their mass-energy equivalent to a planetary gravity well.
So, on to entropy:
The second law of thermodynamics states that entropy must always increase over time. Since no details regarding anything that has crossed the event horizon can be observed, and since entropy must increase (or at least be preserved) over time, the Schwarzschild Radius must indicate the entropic properties of all that it has 'swallowed'.
In fact, the event horizon, or Schwarzschild Radius, of a non-rotating black hole is the only relevant property one can use to describe a singularity; the Schwarzschild Radius defines a sphere centered about the singularity inside of which the gravity well is so steep that light cannot escape.
When mass or energy crosses the event horizon, no information as to its specific composition will ever again be detectable by an outside observer. These 'swallowed' entities will, however, increase the Schwarzschild Radius as if they had added their mass-energy equivalent to a planetary gravity well.
So, on to entropy:
The second law of thermodynamics states that entropy must always increase over time. Since no details regarding anything that has crossed the event horizon can be observed, and since entropy must increase (or at least be preserved) over time, the Schwarzschild Radius must indicate the entropic properties of all that it has 'swallowed'.
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No. At least we don't think so. There is a solution to the Information Paradox in M-Theory (Strings)
http://researchnews.osu.edu/archive/fuzz…
http://www.dummies.com/how-to/content/st…
http://researchnews.osu.edu/archive/fuzz…
http://www.dummies.com/how-to/content/st…
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I dont believe in the black hole theory or the big bang that made the stars and planets. You might take a scientist word on that but I stick to Gods.