18,712 research outputs found

    Alienation in Capitalism: Rediscovering Fulfillment

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    Many Americans are pessimistic about their country\u27s medium or long-term economic outlook. A century ago, Big Business was born as an economic force, but it has powerfully infiltrated the realm of politics now. The corporate scramble for natural resources has caused global disharmony and domestic economic conflict in the U.S. The capitalist system, which many have come to realize is unsustainable and oppressive, has thus come to fulfill some of the predictions made by earlier critics from Kierkegaard, Rousseau, to Marx. Each believed that a society which is forced to accommodate an oppressive system will inherently display alienation. That is, a person will begin to feel isolated from himself, unhappy (as amply documented in the growing happiness literature), and work without enthusiasm (resulting in lower productivity). Alienation is inextricably linked with all aspects of our lives; it occurs on a material level and we are forced to deal with it on a daily basis. How then does mankind overcome the difficulties posed by alienation? If not capitalism and democracy, then what? This paper discusses these issues in an attempt to give the reader a better understanding of how to overcome alienation and the problems/root causes associated with it

    A second look at the Gaussian semiclassical soliton ensemble for the focusing nonlinear Schr\"odinger equation

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    We present the results of a numerical experiment inspired by the semiclassical (zero-dispersion) limit of the focusing nonlinear Schroedinger (NLS) equation. In particular, we focus on the Gaussian semiclassical soliton ensemble, a family of exact multisoliton solutions obtained by repeatedly solving the initial-value problem for a particular sequence of initial data. The sequence of data is generated by adding an asymptotically vanishing sequence of perturbations to pure Gaussian initial data. These perturbations are obtained by applying the inverse-scattering transform to formal WKB approximations of eigenvalues of the associated spectral problem with a Gaussian potential. Recent results [Lee, Lyng, & Vankova, Physica D 24 (2012):1767--1781] suggest that, remarkably, these perturbations---interlaced as they are with the integrable structure of the equation---do not excite the acute modulational instabilities that are known to be present in the semiclassical regime. Here, we provide additional evidence to support the claim that these WKB-induced perturbations indeed have a very special structure. In particular, as a control experiment, we examine the evolution from a family of initial data created by an asymptotically vanishing family of analytic perturbations which are qualitatively indistinguishable from the WKB-induced perturbations that generate the Gaussian semiclassical soliton ensemble. We then compare this evolution to the (numerically computed) true evolution of the Gaussian and also to the evolution of the corresponding members of the semiclassical soliton ensemble. Our results both highlight the exceptional nature of the WKB-induced perturbations used to generate the semiclassical soliton ensemble and provide new insight into the sensitivity properties of the semiclassical limit problem for the focusing NLS equation

    Solitons for the inverse mean curvature flow

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    We investigate self-similar solutions to the inverse mean curvature flow in Euclidean space. In the case of one dimensional planar solitons, we explicitly classify all homothetic solitons and translators. Generalizing Andrews' theorem that circles are the only compact homothetic planar solitons, we apply the Hsiung-Minkowski integral formula to prove the rigidity of the hypersphere in the class of compact expanders of codimension one. We also establish that the moduli space of compact expanding surfaces of codimension two is big. Finally, we update the list of Huisken-Ilmanen's rotational expanders by constructing new examples of complete expanders with rotational symmetry, including topological hypercylinders, called infinite bottles, that interpolate between two concentric round hypercylinders.Comment: typos correcte

    Nonpropagation of tachyon on the BTZ black hole in type 0B string theory

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    We obtain the BTZ black hole (AdS3×_3 \timesS3^3) as a non-dilatonic solution from type 0B string theory. Analyzing the perturbation around this black hole background, we show that the tachyon is not a propagating mode.Comment: some detailed explanations are added, modified version will be appeared in Physics Letters B, 11 pages in RevTeX, no figure

    The Lyman Continuum Polarization Rise in the QSO PG 1222+228

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    Some QSOs show an abrupt, strong rise in polarization near rest wavelength 750 A. If this arises in the atmosphere of an accretion disk around a supermassive black hole, it may have diagnostic value. In PG 1222+228, the polarization rise occurs at the wavelength of a sharp drop in flux. We examine and reject interpretations of this feature involving a high velocity outflow. The observations agree with a model involving several intervening Lyman limit systems, two of which happen to coincide with the Lyman continuum polarization rise. After correction for the Lyman limit absorption, the continuum shortward of 912 A is consistent with a typical power-law slope, alpha = -1.8. This violates the apparent pattern for the Lyman limit polarization rises to occur only in ``candidate Lyman edge QSOs''. The corrected, polarized flux rises strongly at the wavelength of the polarization rise, resembling the case of PG 1630+377. The rise in polarized flux places especially stringent requirements on models.Comment: 19 pages, including 5 EPS figures. Uses aaspp4.sty. Accepted for publication in Publications of the Astronomical Society of the Pacific, 2000 Ma
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