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020 _a9783031160455
_9978-3-031-16045-5
024 7 _a10.1007/978-3-031-16045-5
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
100 1 _aEnayati, Mohammad.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988348
245 1 4 _aThe de Sitter (dS) Group and its Representations
_h[electronic resource] :
_bAn Introduction to Elementary Systems and Modeling the Dark Energy Universe /
_cby Mohammad Enayati, Jean-Pierre Gazeau, Hamed Pejhan, Anzhong Wang.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aXI, 217 p. 16 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aIntroduction -- Preliminary: 1 + 1-dimensional dS (dS2) Geometry and Relativity -- 1+3-dimensional dS (dS4) Geometry and Relativity (Classical and Quantum Mechanics) -- 1+3-dimensional dS (dS4) Geometry and Relativity (QFT) -- Notion of Mass in (A)dS4 Relativity.
520 _aThis book reviews the construction of elementary systems living in de Sitter (dS) spacetime, in both the classical and quantum senses. Field theories on dS spacetime are among the most studied mathematical models of the Universe, whether for its earlier period (inflationary phase) or for its current phase of expansion acceleration (dark energy or cosmological constant). Classical elementary systems are Hamiltonian phase spaces, which are associated with co-adjoint orbits of the relativity group. On the other hand, quantum elementary systems are associated with (projective) unitary irreducible representations of the (possibly extended) relativity group (or one of its covering). This study emphasizes the conceptual issues arising in the formulation of such systems and discusses known results in a mathematically rigorous way. Particular attention is paid to: "smooth" transition from classical to quantum theory; physical content under vanishing curvature, from the point of view of a local("tangent") Minkowskian observer; and thermal interpretation (on the quantum level), in the sense of the Gibbons-Hawking temperature. Such a mathematical construction is of paramount importance to the understanding of the early Universe (due to the critical role that the dS metric plays in the inflationary cosmological scenarii) as well as to the construction of possible models for late-time cosmology (since a small positive cosmological constant or dark energy seems to be required by recent data). In this sense, this book uniquely blends mathematical physics (spacetime symmetry on classical and quantum levels) and theoretical physics (quantization, quantum field theory, and cosmology). Moreover, the level of exposition varies in different parts of the book so that both experts and beginners alike can utilize the book. In addition, this book: Presents consistent formulations of dS elementary systems on three levels; classical mechanics,quantum mechanics, and the quantum field theory Blends mathematical physics (spacetime symmetry on classical and quantum levels) and theoretical physics (quantization, quantum field theory, and cosmology) to uniquely introduce the mathematical structure of dS relativity Discusses conceptual considerations/worries that arise in the formulation of elementary systems.
650 0 _aMathematical physics.
_911013
650 0 _aAstrophysics.
_911132
650 0 _aCosmology.
_94476
650 1 4 _aMathematical Physics.
_911013
650 2 4 _aAstrophysics.
_911132
650 2 4 _aCosmology.
_94476
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_931560
700 1 _aGazeau, Jean-Pierre.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988349
700 1 _aPejhan, Hamed.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988350
700 1 _aWang, Anzhong.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988352
710 2 _aSpringerLink (Online service)
_988355
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031160448
776 0 8 _iPrinted edition:
_z9783031160462
776 0 8 _iPrinted edition:
_z9783031160479
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_988357
856 4 0 _uhttps://doi.org/10.1007/978-3-031-16045-5
912 _aZDB-2-SXSC
942 _cEBK
999 _c86237
_d86237