131,792 research outputs found

    The Bekenstein-Hawking Entropy of Higher-Dimensional Rotating Black Holes

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    A black hole can be regarded as a thermodynamic system described by a grand canonical ensemble. In this paper, we study the Bekenstein-Hawking entropy of higher-dimensional rotating black holes using the Euclidean path-integral method of Gibbons and Hawking. We give a general proof demonstrating that ignoring quantum corrections, the Bekenstein-Hawking entropy is equal to one-fourth of its horizon area for general higher-dimensional rotating black holes.Comment: 9 pages, Latex, v2: arxiv-id for the references supplemented, v3: accepted for publication by Progress of Theoretical Physic

    Trickster-Like Teachings in Tibetan Buddhism: Shortcuts towards Destroying Illusions

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    Trickster-like Dharma teachings in Tibetan Buddhism behave as a kind of shortcuts in the approach to leading people along the path of enlightenment. This essay collects three such teachings of different levels towards destroying illusions, i.e., Buddha’s silence, Guru’s paradox, and Ego’s kleshas. They are necessary as “an ace up the sleeve” for Buddha to destruct disciples’ metaphysical quagmire, for Guru to lead community toward perfect transcendence, and for individuals to attain self-consciousness

    Review: The Powers of the Universe by Brian Swimme

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    This essay presents a review on Brian Swimme’s 3-DVD set of lecture series in the interdisciplinary field of philosophy, cosmology and consciousness. In the eleven 45-minute episodes of a systematic 9-hour immersive program, a set of 12 intercorrelated cosmological powers is proposed on the basis of modern scientific theory. A positive and life-affirming vision of human potential is attained together with a new level of ecological responsibility and relatedness. The interwoven cosmological paradigm compromises with two ancient eastern wisdoms

    Plasma Brain Dynamics (PBD): A Mechanism for EEG Waves Under Human Consciousness

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    EEG signals are records of nonlinear solitary waves in human brains. The waves have several types (e.g., α, β, γ, θ, δ) in response to different levels of consciousness. They are classified into two groups: Group-1 consists of complex storm-like waves (α, β, and γ); Group-2 is composed of simple quasilinear waves (θ and δ). In order to elucidate the mechanism of EEG wave formation and propagation, this paper extends the Vlasov-Maxwell equations of Plasma Brain Dynamics (PBD) to a set of two-fluid, self-similar, nonlinear solitary wave equations. Numerical simulations are performed for different EEG signals. Main results include: (1) The excitation and propagation of the EEG wave packets are dependent of electric and magnetic fields, brain aqua-ions, electron and ion temperatures, masses, and their initial fluid speeds; (2) Group-1 complex waves contain three ingredients: the high-frequency ion-acoustic (IA) mode, the intermediate-frequency lower-hybrid (LH) mode, and, the low-frequency ion-cyclotron (IC) mode; (3) Group-2 simple waves fall within the IA band, featured by one or a combination of the three envelopes: sinusoidal, sawtooth, and spiky/bipolar. The study proposes an alternative model to Quantum Brain Dynamics (QBD) by suggesting that the formation and propagation of the nonlinear solitary EEG waves in the brain have the same mechanism as that of the waves in space plasmas

    Hegel's Eurocentric Triads of Dialectics and its Transformation to Kelly's Planetary Paradigm

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    This article introduces Hegel's Eurocentric philosophy of dialectics in the 19th century and its transformation to Kelly’s planetary paradigm at the turn of the 20th-21st century. The new theory develops Hegel’s thesis—antitheses—synthesis to identity—difference—new-identity which is applicable for the entire human history, including the planetary era. The new triad generalizes Hegel’s mechanic view of nature by suggesting a dominant worldview which is featured by a series of tightening and converging dynamic fractal cycles

    Color Realism: True or Not?

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    Color realism refers to that things are colored, or colors are real. Although the view goes in a minority opinion, Byrne & Hilbert defend it based on the physical properties of color and the peculiarly assumed hue-magnitudes. However, hues are mind-dependent and cannot be used as a measure of the physical properties of things. As a result, the defense fails to justify the proposition of color realism

    Plasma Brain Dynamics (PBD): II. Quantum Effects on Consciousness

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    This article studies the quantum effect of the brain neuronal system on both normal and abnormal conscious states. It develops Plasma Brain Dynamics (PBD) to obtain a set of kinetic quantum-plasma Wigner-Poisson equations. The model is established under typical electrostatic and collision-free conditions in both the absence and presence of an external magnetic field. The quantum perturbation is solved analytically by employing a backward-mapping approach to the motion of electrons. Results expose that the quantum perturbation turns out to be zero at normal conscious states; but no more than 11% of the classical perturbation under assumed abnormal situations like a sudden head trauma, mood disorder, etc. The introduction of the magnetic field does not influence the results

    A game theory approach to mixed H2/H∞ control for a class of stochastic time-varying systems with randomly occurring nonlinearities

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    Copyright @ 2011 Elsevier B.V. This is the author’s version of a work that was accepted for publication in Systems and Control Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published and may be accessed at the link below.This paper is concerned with the mixed H2/H∞ control problem for a class of stochastic time-varying systems with nonlinearities. The nonlinearities are described by statistical means and could cover several kinds of well-studied nonlinearities as special cases. The occurrence of the addressed nonlinearities is governed by two sequences of Bernoulli distributed white sequences with known probabilities. Such nonlinearities are named as randomly occurring nonlinearities (RONs) as they appear in a probabilistic way. The purpose of the problem under investigation is to design a controller such that the closed-loop system achieves the expected H2 performance requirements with a guaranteed H∞ disturbance attenuation level. A sufficient condition is given for the existence of the desired controller by means of solvability of certain coupled matrix equations. By resorting to the game theory approach, an algorithm is developed to obtain the controller gain at each sampling instant. A numerical example is presented to show the effectiveness and applicability of the proposed method