892 research outputs found
Thermal gravity, black holes and cosmological entropy
Taking seriously the interpretation of black hole entropy as the logarithm of
the number of microstates, we argue that thermal gravitons may undergo a phase
transition to a kind of black hole condensate. The phase transition proceeds
via nucleation of black holes at a rate governed by a saddlepoint configuration
whose free energy is of order the inverse temperature in Planck units. Whether
the universe remains in a low entropy state as opposed to the high entropy
black hole condensate depends sensitively on its thermal history. Our results
may clarify an old observation of Penrose regarding the very low entropy state
of the universe.Comment: 5 pages, 2 figures, RevTex. v4: to appear in Phys. Rev.
Strong-field tidal distortions of rotating black holes: Formalism and results for circular, equatorial orbits
Tidal coupling between members of a compact binary system can have an
interesting and important influence on that binary's dynamical inspiral. Tidal
coupling also distorts the binary's members, changing them (at lowest order)
from spheres to ellipsoids. At least in the limit of fluid bodies and Newtonian
gravity, there are simple connections between the geometry of the distorted
ellipsoid and the impact of tides on the orbit's evolution. In this paper, we
develop tools for investigating tidal distortions of rapidly rotating black
holes using techniques that are good for strong-field, fast-motion binary
orbits. We use black hole perturbation theory, so our results assume extreme
mass ratios. We develop tools to compute the distortion to a black hole's
curvature for any spin parameter, and for tidal fields arising from any bound
orbit, in the frequency domain. We also develop tools to visualize the
horizon's distortion for black hole spin (leaving the more
complicated case to a future analysis). We then study how a
Kerr black hole's event horizon is distorted by a small body in a circular,
equatorial orbit. We find that the connection between the geometry of tidal
distortion and the orbit's evolution is not as simple as in the Newtonian
limit.Comment: 37 pages, 8 figures. Accepted for publication to Physical Review D.
This version corrects a number of typographical errors found when reviewing
the page proof
Black hole entropy, curved space and monsters
We investigate the microscopic origin of black hole entropy, in particular
the gap between the maximum entropy of ordinary matter and that of black holes.
Using curved space, we construct configurations with entropy greater than their
area in Planck units. These configurations have pathological properties and we
refer to them as monsters. When monsters are excluded we recover the entropy
bound on ordinary matter . This bound implies that essentially all
of the microstates of a semiclassical black hole are associated with the growth
of a slightly smaller black hole which absorbs some additional energy. Our
results suggest that the area entropy of black holes is the logarithm of the
number of distinct ways in which one can form the black hole from ordinary
matter and smaller black holes, but only after the exclusion of monster states.Comment: 5 pages, revtex. Final version to appear Physics Letters
Minimum Length from Quantum Mechanics and Classical General Relativity
We derive fundamental limits on measurements of position, arising from
quantum mechanics and classical general relativity. First, we show that any
primitive probe or target used in an experiment must be larger than the Planck
length, . This suggests a Planck-size {\it minimum ball} of uncertainty in
any measurement. Next, we study interferometers (such as LIGO) whose precision
is much finer than the size of any individual components and hence are not
obviously limited by the minimum ball. Nevertheless, we deduce a fundamental
limit on their accuracy of order . Our results imply a {\it device
independent} limit on possible position measurements.Comment: 8 pages, latex, to appear in the Physical Review Letter
Monsters, black holes and the statistical mechanics of gravity
We review the construction of monsters in classical general relativity.
Monsters have finite ADM mass and surface area, but potentially unbounded
entropy. From the curved space perspective they are objects with large proper
volume that can be glued on to an asymptotically flat space. At no point is the
curvature or energy density required to be large in Planck units, and quantum
gravitational effects are, in the conventional effective field theory
framework, small everywhere. Since they can have more entropy than a black hole
of equal mass, monsters are problematic for certain interpretations of black
hole entropy and the AdS/CFT duality.
In the second part of the paper we review recent developments in the
foundations of statistical mechanics which make use of properties of
high-dimensional (Hilbert) spaces. These results primarily depend on kinematics
-- essentially, the geometry of Hilbert space -- and are relatively insensitive
to dynamics. We discuss how this approach might be adopted as a basis for the
statistical mechanics of gravity. Interestingly, monsters and other highly
entropic configurations play an important role.Comment: 9 pages, 4 figures, revtex; invited Brief Review to be published in
Modern Physics Letters
Long-term effects of allergen sensitization and exposure in adult asthma: a prospective study.
BACKGROUND: : We investigated the effects of sensitization and exposure to common domestic allergens on longitudinal changes in lung function and bronchial hyperresponsiveness. METHODS: : Subjects attended 2 visits that were 4 years apart. Skin prick testing was performed and household dust samples were collected for quantification of mite, dog, and cat allergens at baseline. Measurements of lung function, exhaled nitric oxide, and bronchial hyperresponsiveness were completed at both visits. RESULTS: : Dust samples were collected in 165 of the 200 subjects completing both visits. Mean length of follow-up was 47 months. Bronchial hyperresponsiveness, measured at both visits in 86 subjects, deteriorated in those exposed to high mite allergen levels compared with those not exposed [mean (95% CI) doubling dose change PD20 = -0.44 (-1.07 to 0.19) vs 0.82 (0.27 to 1.36)], but improved in those exposed to high dog allergen levels compared with those not exposed [1.10 (0.33 to 1.86) vs 0.10 (-0.39 to 0.58)]. The associations were significant in the multivariate models. Cat allergen exposure was not associated with any changes in lung function, exhaled nitric oxide, or bronchial hyperresponsiveness. CONCLUSIONS: : In a 4-year prospective cohort of persons with asthma, exposure to high levels of dust mite allergens at baseline was associated with a subsequent increase in bronchial hyperresponsiveness
Participation in agri-environmental schemes: A contingent valuation study of farmers in Ireland
peer-reviewedAgri-environment schemes (AES) are an important part of agricultural policy within Europe. They seek to achieve important goals with regards to biodiversity and the protection of natural resources while also helping to maintain culturally important landscapes and agricultural practices. Participation rates have been an important area of research into assessing the success of AES. Within Ireland and more broadly across Europe, systematic non-participation in AES has been observed. Certain farm and farmer types have been found more likely to participate. In this paper a contingent valuation exercise is conducted that assesses how AES payment levels impact on the participation decision of farmers. A bivariate probit with sample selection is utilised to account for farmers who are unwilling to participate regardless of payment levels. This allows for a more accurate estimation of farmer willingness-to-accept to participate in the hypothetical AES presented. It also offers insight into the characteristics of farmers who are unlikely to ever participate in these schemes. From the results it appears a significant proportion (30%) of farmers are unlikely to ever participate in AES, with the remaining open to participation depending on the compensation offered. It is argued that increased compensation levels may increase participation rates among some farmers who to date have been unlikely to participate
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