On Fri, Oct 17, 2014 at 2:17 AM, John Clark <[email protected]> wrote:

> On Thu, Oct 16, 2014 at 5:18 PM, LizR <[email protected]> wrote:
>
>>
>> > there was no one around in the big bang that we know of, yet it would
>> appear any maths that might be involved in physical processes managed to
>> work OK.
>>
>
> Yes, but to math make the Big Bang or did the Big Bang make the math? I
> don't know and I'm not going to pretend that I do.
>
> > By the way, what is the "recent discovery that information is physical"?
>>
>
> 1961 is pretty recent and in that year Landauer discovered that the
> absolute minimum energy it takes to erase one bit of information is
> ln(2)kT , k is Boltzmann's constant 1.381 X10^-23 J/K, and T is the
> temperature of the computer in degrees Kelvin. In 1972 Bekenstein
> discovered that the maximum amount of information you can put inside a
> sphere is proportional not to it's volume as you might expect but to it's
> surface area, and it's 2PI*R*E/h*c*ln2 where R is the radius of the sphere,
> E is the mass-energy inside the sphere h is Planck's constant and c is the
> speed of light.
>

Here is something I do not understand. The Bekenstein formula for max
information is proportional to the radius of the sphere and not its area.
Only when you put in a black-hole's mass-energy dependence on the radius of
the event horizon does one get a dependence on surface area of the event
horizon. For example the information content of a spherical volume of
vacuum would appear to contain at most zero information. Is this correct?
Richard

>
>   John K Clark
>
>
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