435 research outputs found
STATIONARY STRINGS AND 2-D BLACK HOLES
A general description of string excitations in stationary spacetimes is
developed. If a stationary string passes through the ergosphere of a
4-dimensional black hole, its world-sheet describes a 2-dimensional black (or
white) hole with horizon coinciding with the static limit of the 4-dimensional
black hole. Mathematical results for 2-dimensional black holes can therefore be
applied to physical objects (say) cosmic strings in the vicinity of Kerr black
holes. An immediate general result is that the string modes are thermally
excited. The string excitations are determined by a coupled system of scalar
field equations in the world-sheet metric. In the special case of excitations
propagating along a stationary string in the equatorial plane of the
Kerr-Newman black hole, they reduce to the -wave scalar field equations in
the 4-dimensional Reissner-Nordstr\"{o}m black hole. We briefly discuss
possible applications of our results to the black hole information puzzle.Comment: 13 pages, Late
On the characteristic connection of gwistor space
We give a brief presentation of gwistor space, which is a new concept from
G_2 geometry. Then we compute the characteristic torsion T^c of the gwistor
space of an oriented Riemannian 4-manifold with constant sectional curvature k
and deduce the condition under which T^c is \nabla^c-parallel; this allows for
the classification of the G_2 structure with torsion and the characteristic
holonomy according to known references. The case with the Einstein base
manifold is envisaged.Comment: Many changes since first version, including title; Central European
Journal of Mathematics, 201
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RIVER-RAD: A computer code for simulating the transport of radionuclides in rivers
A screening-level model, RIVER-RAD, has been developed to assess the potential fate of radionuclides released to rivers. The model is simplified in nature and is intended to provide guidance in determining the potential importance of the surface water pathway, relevant transport mechanisms, and key radionuclides in estimating radiological dose to man. The purpose of this report is to provide a description of the model and a user's manual for the FORTRAN computer code
Dibaryon Spectroscopy
The AdS/CFT correspondence relates dibaryons in superconformal gauge theories
to holomorphic curves in Kaehler-Einstein surfaces. The degree of the
holomorphic curves is proportional to the gauge theory conformal dimension of
the dibaryons. Moreover, the number of holomorphic curves should match, in an
appropriately defined sense, the number of dibaryons. Using AdS/CFT backgrounds
built from the generalized conifolds of Gubser, Shatashvili, and Nekrasov
(1999), we show that the gauge theory prediction for the dimension of
dibaryonic operators does indeed match the degree of the corresponding
holomorphic curves. For AdS/CFT backgrounds built from cones over del Pezzo
surfaces, we are able to match the degree of the curves to the conformal
dimension of dibaryons for the n'th del Pezzo surface, n=1,2,...,6. Also, for
the del Pezzos and the A_k type generalized conifolds, for the dibaryons of
smallest conformal dimension, we are able to match the number of holomorphic
curves with the number of possible dibaryon operators from gauge theory.Comment: 30 pages, 6 figures, corrected refs; v3 typos correcte
To quantum mechanics through random fluctuations at the Planck time scale
We show that (in contrast to a rather common opinion) QM is not a complete
theory. This is a statistical approximation of classical statistical mechanics
on the {\it infinite dimensional phase space.} Such an approximation is based
on the asymptotic expansion of classical statistical averages with respect to a
small parameter Therefore statistical predictions of QM are only
approximative and a better precision of measurements would induce deviations of
experimental averages from quantum mechanical ones. In this note we present a
natural physical interpretation of as the time scaling parameter
(between quantum and prequantum times). By considering the Planck time as
the unit of the prequantum time scale we couple our prequantum model with
studies on the structure of space-time on the Planck scale performed in general
relativity, string theory and cosmology. In our model the Planck time is
not at all the {\it "ultimate limit to our laws of physics"} (in the sense of
laws of classical physics). We study random (Gaussian) infinite-dimensional
fluctuations for prequantum times and show that quantum mechanical
averages can be considered as an approximative description of such
fluctuations.Comment: Discussion on the possibility to go beyond Q
A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography
We analyze the developments in mathematical rigor from the viewpoint of a
Burgessian critique of nominalistic reconstructions. We apply such a critique
to the reconstruction of infinitesimal analysis accomplished through the
efforts of Cantor, Dedekind, and Weierstrass; to the reconstruction of Cauchy's
foundational work associated with the work of Boyer and Grabiner; and to
Bishop's constructivist reconstruction of classical analysis. We examine the
effects of a nominalist disposition on historiography, teaching, and research.Comment: 57 pages; 3 figures. Corrected misprint
Primordialists and Constructionists: a typology of theories of religion
This article adopts categories from nationalism theory to classify theories of religion. Primordialist explanations are grounded in evolutionary psychology and emphasize the innate human demand for religion. Primordialists predict that religion does not decline in the modern era but will endure in perpetuity. Constructionist theories argue that religious demand is a human construct. Modernity initially energizes religion, but subsequently undermines it. Unpacking these ideal types is necessary in order to describe actual theorists of religion. Three distinctions within primordialism and constructionism are relevant. Namely those distinguishing: a) materialist from symbolist forms of constructionism; b) theories of origins from those pertaining to the reproduction of religion; and c) within reproduction, between theories of religious persistence and secularization. This typology helps to make sense of theories of religion by classifying them on the basis of their causal mechanisms, chronology and effects. In so doing, it opens up new sightlines for theory and research
Ten Misconceptions from the History of Analysis and Their Debunking
The widespread idea that infinitesimals were "eliminated" by the "great
triumvirate" of Cantor, Dedekind, and Weierstrass is refuted by an
uninterrupted chain of work on infinitesimal-enriched number systems. The
elimination claim is an oversimplification created by triumvirate followers,
who tend to view the history of analysis as a pre-ordained march toward the
radiant future of Weierstrassian epsilontics. In the present text, we document
distortions of the history of analysis stemming from the triumvirate ideology
of ontological minimalism, which identified the continuum with a single number
system. Such anachronistic distortions characterize the received interpretation
of Stevin, Leibniz, d'Alembert, Cauchy, and others.Comment: 46 pages, 4 figures; Foundations of Science (2012). arXiv admin note:
text overlap with arXiv:1108.2885 and arXiv:1110.545
Molecular phylogeny, biogeographic history, and evolution of cave-dwelling taxa in the European harvestman genus Ischyropsalis
Search for displaced vertices arising from decays of new heavy particles in 7 TeV pp collisions at ATLAS
We present the results of a search for new, heavy particles that decay at a
significant distance from their production point into a final state containing
charged hadrons in association with a high-momentum muon. The search is
conducted in a pp-collision data sample with a center-of-mass energy of 7 TeV
and an integrated luminosity of 33 pb^-1 collected in 2010 by the ATLAS
detector operating at the Large Hadron Collider. Production of such particles
is expected in various scenarios of physics beyond the standard model. We
observe no signal and place limits on the production cross-section of
supersymmetric particles in an R-parity-violating scenario as a function of the
neutralino lifetime. Limits are presented for different squark and neutralino
masses, enabling extension of the limits to a variety of other models.Comment: 8 pages plus author list (20 pages total), 8 figures, 1 table, final
version to appear in Physics Letters
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