School of Astronomy

School of Astronomy (SoA) Weekly Seminar

Self-Relative (or Machian) Information

Nima Khosravi (Shahid Baheshti Univ. & IPM)

Abstract:
The entropy-area relation of black holes is one of the important results of
theoretical physics. It is one of the few relations that is used to test
theories of quantum gravity in the absence of any experimental evidence. It
states that $4 \times \ell_P^2$ is the fundamental area that holds \textit
{one} bit of information. Consequently, a question arises: why $4 \times
\ell_P^2$ and not $1 \times \ell_P^2$ is the fundamental holder of \textit
{one} bit of information? In any case it seems the latter choice is more
natural. We show that this question can be answered with a more explicit
counting of the independent states of a black hole. To do this we introduce
a method of counting which we name self-relative information. It says that a
bit alone does not have any information unless it is considered near other
bits. Utilizing this approach we obtain the correct entropy-area relation
for black holes with $1 \times \ell_P^2$ as the fundamental holder of \textit
{one} bit of information. This method also predicts, naturally, the
existence of logarithmic corrections to the entropy-area relation.

Wednesday / 7 Oct. 2009 / 15 Mehr 1388/ 2:00 PM
IPM Larak Building, School of Astronomy

Address: Larak Garden, opposite Araj, Artesh Highway,Tehran, Iran
E-mail: astro(at)ipm.ir