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From quantum to cosmos : fundamental physics research in space / Slava G. Turyshev Singapore : World Scientific, 2009 xi, 751 pages. : illustrations (some color) ; 26 cm. Ký hiệu phân loại (DDC): 523 Space-based laboratory research in fundamental physics is an emerging research discipline that offers great discovery potential and at the same time could drive the development of technological advances which are likely to be important to scientists and technologists in many other different research fields. Số bản sách:
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Noncommutative cosmology / Matilde Marcolli Singapore : World Scientific Publishing Co., 2018 xv, 275 pages. : illustrations ; 24 cm. Ký hiệu phân loại (DDC): 530.12 Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology. Relations between noncommutative and algebro-geometric methods in cosmology is also discussed, including the occurrence of motives, periods, and modular forms in spectral models of gravity. Số bản sách:
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Scale relativity and fractal space-time : a new approach to unifying relativity and quantum mechanics / Laurent Nottale London : Imperial College Press, 2011 xxi, 742 pages. : illustrations (some color) ; 25 cm. Ký hiệu phân loại (DDC): 530.11 This book provides a comprehensive survey of the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling the basis of quantum mechanics on the principle of relativity, provided this principle is extended to scale transformations of the reference system. In the framework of such a newly generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that unifies and thus goes beyond the classical and quantum regimes taken separately. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences
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