1,384 research outputs found

### A Physical Approach to Polya's Conjecture

The similarity between the Polya's conjecture and the Bonomol'nyi bound
remind us to consider a physical approach to Polya's conjecture. We conjecture
a duality between the waves and the soliton solutions on the surface. We
consider the special case in the disc.Comment: 6 pages, no figure

### The Entropy of BTZ Black Hole from Loop Quantum Gravity

In this paper, we calculated the entropy of the BTZ black hole in the
framework of loop quantum gravity. We got the result that the horizon degrees
of freedom can be described by the 2D SO(1,1) punctured BF theory. Finally we
got the area law for the entropy of BTZ black hole.Comment: 12 pag

### Holograph in noncommutative geometry: Part 1

In this paper, we consider the holograph principle emergent from
noncommutative geometry, based on the spectral action principle. We show that
under some appropriate conditions, the gravity theory on a manifold with
boundary could be equivalent to a gauge theory $SU(N)$ on the boundary. Then an
expression for $N$ with the geometrical quantities of the manifold is given.
Based on this result, we find that the volume of the manifold and the boundary
have some discrete structure. Applying the result to the black hole, we get
that the radium of the Schwarzschild black hole is quantized. We also find an
explanation why the extremal RN-black hole has zero temperature but with finite
entropy.Comment: 9 pages, no figure

### Compact Chiral Boson Fields on the Horizon of BTZ Black Hole

In the previous work, it was shown that the degrees of freedom on the horizon
of BTZ black hole can be described by two chiral massless scalar fields with
opposite chirality. In this paper, we continuous this research. It is found
that the scalar field is actually a compact boson field on a circle. The
compactness results in the quantization of the black hole radius. Then we
quantize the two boson fields and get two abelian Kac-Moody algebras. From the
boson field, one can construct the full $W_{1+\infty}$ algebra which was used
to classify the BTZ black holes.Comment: 8 pages, comments are welcom

### W-hairs of black holes in three dimensional spacetime

In the previous paper (arXiv:1804.09438) we found that the near horizon
symmetry algebra of black holes is a subalgebra of the $W_{1+\infty}$ symmetry
algebra of quantum Hall fluid in three dimensional spacetime. In this paper, we
give a slightly different representation of the former algebra from the latter
one. Similar to the horizon fluff proposal, based on the $W_{1+\infty}$
algebra, we count the number of the microstates of the BTZ black holes and
obtain the Bekenstein-Hawking entropy.Comment: 7 pages, comments are welcome

### Black hole as topological insulator (II): the boundary modes

In the previous paper Ref.[1], it was claimed that the black hole can be
considered as a kind of topological insulator. For BTZ black hole in three
dimensional $AdS_3$ spacetime two evidences were given to support this claim:
the first evidence comes from the black hole "membrane paradigm", and the
second evidence comes from the fact that the horizon of BTZ black hole can
support two chiral massless scalar field with opposite chirality. Those are two
key properties of 2D topological insulator. For higher dimensional black hole
the first evidence is still valid but the second fails. In this paper, starting
from the boundary BF theory, which can be used to describe the boundary degrees
of freedom of black hole in arbitrary dimension, we shown that the isolated
horizon of $3+1-$D black hole can support massless scalar field and vector
field. Those two fields can be used to construct a massless Dirac field through
the $2+1-$dimensional bosonization, which also appears on the boundary of
$3+1-$D topological insulators.Comment: 6 pages, adding canonical mass dimension analysi

### Black hole as topological insulator (I): the BTZ black hole case

Black holes are extraordinary massive objects which can be described
classically by general relativity, and topological insulators are new orders of
matter that could be use to built a topological quantum computer. They seem to
be different objects, but in this paper, we claim that the black hole can be
considered as kind of topological insulator. For BTZ black hole in three
dimensional $AdS_3$ spacetime we give two evidences to support this claim: the
first evidence comes from the black hole "membrane paradigm", which says that
the horizon of black hole behaves like an electrical conductor. On the other
hand, the vacuum can be considered as an insulator. The second evidence comes
from the fact that the horizon of BTZ black hole can support two chiral
massless scalar field with opposite chirality. Those are two key properties of
2D topological insulator. We also consider the coupling with the
electromagnetic field to show that the boundary modes can conduct the
electricity. For higher dimensional black hole the first evidence is still
valid. So we conjecture that the higher dimensional black hole can also be
considered as higher dimensional topological insulators. This conjecture will
have far-reaching influences on our understanding of quantum black hole and the
nature of gravity.Comment: 7 pages, title changed, adding a section to discuss the coupling with
electromagnetic fiel

### Central charges for Kerr and Kerr-AdS black holes in diverse dimensions

In the previous work we give a microscopic explanation of the entropy for the
BTZ black hole and four-dimensional Kerr black hole based on the massless
scalar field theory on the horizon. An essential input is the central charges
of those black holes. In this paper, we calculate the central charges for Kerr
black holes and Kerr-AdS black holes in diverse dimensions by rewriting the
entropy formula in a suggesting way. Then we also give the statistical
explanation for the entropy of those black holes based on the scalar field on
the horizon which similar to 4D kerr black hole.Comment: 6 pages, comments are welcomed;v2, make connection with the
thermodynamic potential;v3, bring the interacting scalar field theory which
has a special form of Hamiltonian

### Search for the gravitational wave memory effect with the Parkes Pulsar Timing Array

Gravitational wave bursts produced by supermassive binary black hole mergers
will leave a persistent imprint on the space-time metric. Such gravitational
wave memory signals are detectable by pulsar timing arrays as a glitch event
that would seem to occur simultaneously for all pulsars. In this paper, we
describe an initial algorithm which can be used to search for gravitational
wave memory signals. We apply this algorithm to the Parkes Pulsar Timing Array
data set. No significant gravitational wave memory signal is founded in the
data set.Comment: Proceedings of IAUS 291 "Neutron Stars and Pulsars: Challenges and
Opportunities after 80 years", J. van Leeuwen (ed.); 3 pages, no figur

### Mitigating Power Side Channels during Compilation

The code generation modules inside modern compilers such as GCC and LLVM,
which use a limited number of CPU registers to store a large number of program
variables, may introduce side-channel leaks even in software equipped with
state-of-the-art countermeasures. We propose a program analysis and
transformation based method to eliminate this side channel. Our method has a
type-based technique for detecting leaks, which leverages Datalog-based
declarative analysis and domain-specific optimizations to achieve high
efficiency and accuracy. It also has a mitigation technique for the compiler's
backend, more specifically the register allocation modules, to ensure that
potentially leaky intermediate computation results are always stored in
different CPU registers or spilled to memory with isolation. We have
implemented and evaluated our method in LLVM for the x86 instruction set
architecture. Our experiments on cryptographic software show that the method is
effective in removing the side channel while being efficient, i.e., our
mitigated code is more compact and runs faster than code mitigated using
state-of-the-art techniques

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