Shannon Entropy for Black Holes

Oct 31, 2003 14 Replies

I read an article in "Scientific American" about how much information can be compressed into a certain volume, and apparently all objects have a Shannon entropy in addition to the thermodynamic entropy. Also, black holes have a Shannon entropy that is based on the surface area of the event horizon. I was totally lost. Can anybody else explain how Shannon's information theory applies to black holes?



-Kevin


Sounds like just the place for a First In Never Out (FINO) transmit buffer.

-- Mike Treseler

Kevin,

Really quite easy.

Just read

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Now after you have read it, go get a stiff drink ....and then fall into a troubled sleep.

As you toss and turn having nightmares about information horizons, and gravity strings, remember what the White Rabbit said: "feed your hair."

How many bits can fit on the surface of a black hole? (2003)

How many Angel's can fit on the head of a pin? (1536)

A question for every age.

Aust> I read an article in "Scientific American" about how much information can be

Actually the entropy of a black hole works out to be about 10^66 bits/ cm^2.

Clay

I've worked with people denser than that.

Or so it seemed, anyway...

Eric Jacobsen Minister of Algorithms, Intel Corp. My opinions may not be Intel's opinions.

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I am really curious to know how thermodynamic entropy differs from Shannon's -if both based on "disorderness". Hawking's popular book "brief history of time" has a chapter on "arrow of time" which referred themodynamical entropy and at the same time "orderness" due to expansion of universe- bit abstract!

Since we know entrpy of the universe increases - it is interesting what will happen to Shannon's entropy (if it is related!)- does information of the universe increase-big question!!!

santosh

I had to debug somebody else's hardware that implemented a FINO

He had invented the wonderful new memory type... 2K by 8 WOM

Write-Only Memory :-)

Ian

be

Shannon

a

For the ignorant (me): what it Entropy?

Rich

Hi Ian.

Sorry but my WOM has 1Mbitx16, it´s implemented on strained silicon, has a life expectancy of almost 10 write cycles and I think it doesn't loose it contents when power is turned off (for obvious reasons I couldn't test this) :)

I'm looking for funds to maintain this important research. Anyone?

Luiz Carlos

John,

Falling apart. What everything does (eventually).

What you and I are doing right now (getting older, and falling apart).

Aust> > I read an article in "Scientific American" about how much information can

gravity

I thought it was "feed your head."

that's enough guys..., black hole normaly holds 1, or 2,...but sometimes up to 5 boys and girls (please check guiness book), noting to do with the surface except for its decoration attractiveness

There is some controversy about this. The two ideas are fundamentally distinct and it is unfortunate that they have the same name. They are related, of course, but the relationship is something that has to be spelled out carefully. In my opinion the best work on this is a paper Ed Jaynes wrote for the Am. J. Phys. You'll find it here:

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"Gibbs vs. Boltzmann Entropies", article 21. I believe Anton Garrett wrote a lengthy paper spelling it out further based on Jaynes's argument; I think it was in *Foundations of Physics* several years ago.

This isn't trivial stuff; good luck studying it!

-Tom

To respond by email, replace "somewhere" with "astro" in the return address.

Ian, Signetics invented this 30 years ago! try :-

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Syms.

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