[Phys-l] Reissner Nordstrom Black Holes and the Loss of Information.

[Spinozalens@aol.com]

Reissner Nordstrom Black Holes and the Loss of Information. 
 
 
One of the great problems in Quantum Gravity in the "information paradox"  
associated with black hole given the existence of Davies-Hawking-Unruh  
Radiation.  The no hair theorem for black holes postulates that all  information 
except local charge, mass and spin are lost in the creation of black  
holes. Various proposals have been proposed to preserve Unitarity in the black  
hole process. However, it would no exaggeration to note that no one has 
offered  a convincing mechanism which would encode information on DHU radiation, 
which  should be expected to follow a black body spectrum. In this post I 
will offer a  thought experiment which will, in my opinion, raise even more 
problems for the  conservation of information in black holes. 
 
 
In this though experiment we start with a black hole with a  Schwarzschild 
metric, a black hole without  charge or angular  momentum. We build a 
powerful  proton gun , so designed to remain  electrically neutral.and be used in 
space. We use this proton gun to fire  protons into our Schwarzschild  black 
hole. 
 
Based on the the Reissner Nordstrom equation for black holes we can  define 
the entropy of our black hole as 
 
   S= A/(4*G) = pi*R(+)^2/G = pi*G*{ M + sqrt [ M^2 -(Q/G)^2] 
 
 
> From this equation it's clear that as fire protons into the black hole,  
it's entropy decreases. Of course this no violation of the second law of  
thermodynamics , the total entropy of proton gun and black Hole can be  expected 
to increase, the black hole not being a closed system can have a  reduction 
of entropy without violating the second law. 
 
However, the important point is that the black hole has had a reduction of  
entropy ( loss of information, entropy is just unavailable information) 
without  anything coming out of the black hole. Where did the information go? 
 
Based on this simple thought experiment I make the argument that the black  
hole process is not unitary, at least in terms of the phase space locally,  
and that the Susskind Black Hole complementarity  hypotheses  is wrong.   
 
Bob Zannelli