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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.
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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
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