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000806872 1001_ $$aLicata, Ignazio,$$eauthor.
000806872 24513 $$aDe Sitter projective relativity /$$cIgnazio Licata, Leonardo Chiatti, Elmo Benedetto.
000806872 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2017]
000806872 264_4 $$c©2017
000806872 300__ $$a1 online resource.
000806872 336__ $$atext$$btxt$$2rdacontent
000806872 337__ $$acomputer$$bc$$2rdamedia
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000806872 4901_ $$aSpringerBriefs in physics
000806872 504__ $$aIncludes bibliographical references and index.
000806872 5050_ $$aForeword; Preface; Contents; 1 De Sitter Relativity: A Sixty-Year-Long Story; 1.1 Introduction; 1.2 Historical Origins; 1.3 Later Developments; 1.4 PSR as a "Dual" Theory; 1.5 Experimental Verification; 1.6 De Sitter Observers, Singularities and Wick Rotations; 1.7 De Sitter Relativity in Current Research; 1.8 De Sitter Space and Field Theory; References; 2 Steps Towards the De Sitter Relativity; 2.1 Some Recalls About Lie Groups; 2.2 Lie Groups of Spacetime; 2.3 The Fantappié "Erlangen Program"; 2.4 The Arcidiacono Transformations; 2.5 Some Consequences; References.
000806872 5058_ $$a3 Projective Special Relativity3.1 Preliminary Considerations; 3.2 The Principle of Relativity; 3.3 Hyperspheric Prespace; Reference; 4 Point, Fluid and Wave Mechanics; 4.1 Introduction; 4.2 PSR Metric; 4.3 Kinematics of the Material Point; 4.4 Dynamics of the Material Point; 4.5 Dynamics of Perfect Incompressible Fluids; 4.6 Digression on the Concept of Temperature in PSR; 4.7 Dynamics of Perfect Incompressible Fluids with Heat Exchange; 4.8 D'Alembert Equation; 4.9 The Meaning of Physical Quantities in PSR; 4.10 Concluding Notes; References; 5 Cosmic Electromagnetism.
000806872 5058_ $$a5.1 Electromagnetic Equations in PSR5.2 Relativistic Transformation of Electromagnetic Quantities (in the Framework of PSR); References; 6 Projective General Relativity (PGR); 6.1 From PSR to PGR; 6.2 Arcidiacono's Construction; 6.3 Local Applications of PGR; 6.4 Consistency Issues; 6.5 The Cosmological Problem; 6.6 Initial Singularity and Horizon; 6.7 Archaic Universe; 6.8 The Origin of Inertia; 6.9 Dark Matter; 6.10 The Dominance of Matter; References; Appendix A; Curvature and Torsion in PGR; Appendix B: Interlude; Some Remarks About the Current Status of Cosmological Problem; Index.
000806872 506__ $$aAccess limited to authorized users.
000806872 520__ $$aThis book presents the Projective approach to de Sitter Relativity. It traces the development of renewed interest in models of the universe at constant positive curvature such as "vacuum" geometry. The De Sitter Theory of Relativity, formulated in 1917 with Willem De Sitter's solution of the Einstein equations, was used in different fields during the 1950s and 1960s, in the work of H. Bacry, J.M. LevyLeblond and F. Gursey, to name some important contributors. From the 1960s to 1980s, L. Fantappié and G. Arcidiacono provided an elegant group approach to the De Sitter universe putting the basis for special and general projective relativity. Today such suggestions flow into a unitary scenario, and this way the De Sitter Relativity is no more a "missing opportunity" (F. Dyson, 1972), but has a central role in theoretical physics. In this volume a systematic presentation is given of the De Sitter Projective relativity, with the recent developments in projective general relativity and quantum cosmology.
000806872 588__ $$aOnline resource, title from PDF title page (viewed March 18, 2017).
000806872 650_0 $$aSpecial relativity (Physics)
000806872 650_0 $$aRelativity (Physics)
000806872 7001_ $$aChiatti, Leonardo,$$eauthor.
000806872 7001_ $$aBenedetto, Elmo,$$eauthor.
000806872 77608 $$iPrint version:$$aLicata, Ignazio.$$tSitter projective relativity.$$dCham, Switzerland : Springer, [2017]$$z3319522701$$z9783319522708$$w(OCoLC)966257672
000806872 830_0 $$aSpringerBriefs in physics.
000806872 852__ $$bebk
000806872 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-52271-5$$zOnline Access$$91397441.1
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