10,673 research outputs found
Abolishing the maximum tension principle
We find the series of example theories for which the relativistic limit of
maximum tension represented by the entropic force can be
abolished. Among them the varying constants theories, some generalized entropy
models applied both for cosmological and black hole horizons as well as some
generalized uncertainty principle models.Comment: 5 pages, no figures, REVTEX4-1, a typo in abstract correcte
Varying constants entropic--CDM cosmology
We formulate the basic framework of thermodynamical entropic force cosmology
which allows variation of the gravitational constant and the speed of light
. Three different approaches to the formulation of the field equations are
presented. Some cosmological solutions for each framework are given and one of
them is tested against combined observational data (supernovae, BAO, and CMB).
From the fit of the data it is found that the Hawking temperature numerical
coefficient is two to four orders of magnitude less than usually
assumed on the geometrical ground theoretical value of and that it is
also compatible with zero. Besides, in the entropic scenario we observationally
test that the fit of the data is allowed for the speed of light growing and
the gravitational constant diminishing during the evolution of the
universe. We also obtain a bound on the variation of to be which is at least one order of magnitude weaker than the
quasar spectra observational bound.Comment: Matched with published version. some changes in Section VII, 15 page
Star product formula of theta functions
As a noncommutative generalization of the addition formula of theta
functions, we construct a class of theta functions which are closed with
respect to the Moyal star product of a fixed noncommutative parameter. These
theta functions can be regarded as bases of the space of holomorphic
homomorphisms between holomorphic line bundles over noncommutative complex
tori.Comment: 12 page
Towards a physical interpretation for the Stephani Universes
A physicaly reasonable interpretation is provided for the perfect fluid,
sphericaly symmetric, conformally flat ``Stephani Universes''. The free
parameters of this class of exact solutions are determined so that the ideal
gas relation is identicaly fulfiled, while the full equation of state
of a classical monatomic ideal gas and a matter-radiation mixture holds up to a
good approximation in a near dust, matter dominated regime. Only the models
having spacelike slices with positive curvature admit a regular evolution
domain that avoids an unphysical singularity. In the matter dominated regime
these models are dynamicaly and observationaly indistinguishable from
``standard'' FLRW cosmology with a dust source.Comment: 17 pages, 2 figures, LaTeX with revtex style, submitted to General
Relativity and Gravitatio
Bigger Rip with No Dark Energy
By studying a modified Friedmann equation which arises in an extension of
general relativity which accommodates a time-dependent fundamental length
, we consider cosmological models where the scale factor diverges with an
essential singularity at a finite future time. Such models have no dark energy
in the conventional sense of energy possessing a truly simple pressure-energy
relationship. Data on supernovae restrict the time from the present until the
Rip to be generically longer than the current age of the Universe.Comment: 10 pages latex including 2 figures. Grammar improved. References
adde
Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
We report the observation of quantum oscillations in the underdoped cuprate
superconductor YBa2Cu4O8 using a tunnel-diode oscillator technique in pulsed
magnetic fields up to 85T. There is a clear signal, periodic in inverse field,
with frequency 660+/-15T and possible evidence for the presence of two
components of slightly different frequency. The quasiparticle mass is
m*=3.0+/-0.3m_e. In conjunction with the results of Doiron-Leyraud et al. for
YBa2Cu3O6.5, the present measurements suggest that Fermi surface pockets are a
general feature of underdoped copper oxide planes and provide information about
the doping dependence of the Fermi surface.Comment: Contains revisions addressing referees' comments including a
different Fig 1b. 4 pages, 4 figure
h-deformation of GL(1|1)
h-deformation of (graded) Hopf algebra of functions on supergroup GL(1|1) is
introduced via a contration of GL_q (1|1). The deformation parameter h is odd
(grassmann). Related differential calculus on h-superplane is presented.Comment: latex file, 8 pages, minor change
Imaginary Phases in Two-Level Model with Spontaneous Decay
We study a two-level model coupled to the electromagnetic vacuum and to an
external classic electric field with fixed frequency. The amplitude of the
external electric field is supposed to vary very slow in time. Garrison and
Wright [{\it Phys. Lett.} {\bf A128} (1988) 177] used the non-hermitian
Hamiltonian approach to study the adiabatic limit of this model and obtained
that the probability of this two-level system to be in its upper level has an
imaginary geometric phase. Using the master equation for describing the time
evolution of the two-level system we obtain that the imaginary phase due to
dissipative effects is time dependent, in opposition to Garrison and Wright
result. The present results show that the non-hermitian hamiltonian method
should not be used to discuss the nature of the imaginary phases in open
systems.Comment: 11 pages, new version, to appear in J. Phys.
Planetoid strings : solutions and perturbations
A novel ansatz for solving the string equations of motion and constraints in
generic curved backgrounds, namely the planetoid ansatz, was proposed recently
by some authors. We construct several specific examples of planetoid strings in
curved backgrounds which include Lorentzian wormholes, spherical Rindler
spacetime and the 2+1 dimensional black hole. A semiclassical quantisation is
performed and the Regge relations for the planetoids are obtained. The general
equations for the study of small perturbations about these solutions are
written down using the standard, manifestly covariant formalism. Applications
to special cases such as those of planetoid strings in Minkowski and spherical
Rindler spacetimes are also presented.Comment: 24 pages (including two figures), RevTex, expanded and figures adde
- …