Road to reality with Roger Penrose /:
Where does the road to reality lie? This fundamental question is addressed in this collection of essays by physicists and philosophers, inspired by the original ideas of Sir Roger Penrose, the English mathematical physicist and philosopher of science. The topics range from black holes and quantum in...
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| Weitere Verfasser: | , , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Kraków :
Copernicus Center Press,
2015.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Where does the road to reality lie? This fundamental question is addressed in this collection of essays by physicists and philosophers, inspired by the original ideas of Sir Roger Penrose, the English mathematical physicist and philosopher of science. The topics range from black holes and quantum information to the very nature of mathematical cognition itself.--Provided by publisher. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9788378861706 8378861708 8378861694 9788378861690 |
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| 505 | 0 | |a Road to Reality with Roger Penrose -- Authors -- Contents -- Chapter 1. From geometric quantum mechanics toquantum information -- 1.1 Introduction -- 1.2 Geometrical formulation of the Hilbert space picture -- 1.2.1 From Hermitian operators to real-valued functions -- 1.2.2 The Fubini?Study metric seen from the Hilbert space -- 1.2.3 From Hermitian inner products to classical tensor fields -- 1.2.4 Pull-back structures on submanifolds of H -- 1.3 Some applications : composite systems, entanglementand separability -- 1.3.1 Separable and maximal entangled pure states | |
| 505 | 8 | |a 1.3.2 Quantitative statements1.3.3 Mixed states entanglement and invariant operator valuedtensor fields -- 1.4 From quantum to classical information -- 1.5 Conclusions and outlook -- Chapter 2. Black holes in general relativity -- 2.1 Introduction -- 2.1.1 Newtonian considerations -- 2.1.2 General relativity -- 2.2 Black holes in general relativity -- 2.2.1 Early history -- 2.2.2 Uniqueness -- 2.3 Event horizons and their unforeseen properties -- 2.3.1 Event horizons -- 2.3.2 An unexpected treasure trove -- 2.4 Epilogue -- 2.4.1 Spookiness of event horizons | |
| 505 | 8 | |a 2.4.2 Quasi-local horizonsChapter 3. Gravitational energy: a quasi-local, Hamiltonian approach -- 3.1 Introduction -- 3.2 Symplectic relations and their generating functions -- 3.3 Lagrangian and Hamiltonian formulations of mechanics -- 3.4 Field dynamics as a symplectic relation -- 3.5 Example: symmetric versus canonical energy in Maxwell electrodynamics -- 3.6 Homogeneous Hamiltonian identity in canonical relativity -- 3.7 Examples of the gravitational boundary control and corresponding Hamiltonians -- 3.8 Concluding remarks | |
| 505 | 8 | |a Chapter 4. General relativity and von Neumann algebras4.1 Introduction -- 4.2 Space-time as a noncommutative space -- 4.3 Algebra of random operators -- 4.4 Differential algebra -- 4.5 Generalized space-time geometry -- 4.6 General relativity on random operators -- 4.7 Concluding remarks -- Appendix -- Chapter 5. Penrose?s metalogical argument is unsound -- 5.1 Introduction -- 5.2 Necessary conditions for out-Gödeling -- 5.3 Inconsistency/unsoundness of the antimechanist -- 5.4 A relevant discovery: Gödel?s unknowability thesis -- 5.5 Penrose?s new argument | |
| 505 | 8 | |a 5.6 Evolution of machines: robots and the mind5.7 A?natural? view of mathematics -- Chapter 6. Mach?s Principle within general relativity -- 6.1 Introduction -- 6.2 A Newtonian non-relativistic mechanics without absolute space -- 6.3 Machian phenomena predicted by general relativity -- 6.3.1 Accelerated inertial frames -- 6.3.2 Rotating inertial frames -- 6.3.3 Induced centrifugal force -- 6.3.4 Mass induction -- 6.4 Closed Universes rotation and the cosmological constant -- Chapter 7. Algebraic approach to quantum gravity I: relative realism -- 7.1 Introduction | |
| 546 | |a English. | ||
| 520 | |a Where does the road to reality lie? This fundamental question is addressed in this collection of essays by physicists and philosophers, inspired by the original ideas of Sir Roger Penrose, the English mathematical physicist and philosopher of science. The topics range from black holes and quantum information to the very nature of mathematical cognition itself.--Provided by publisher. | ||
| 600 | 1 | 0 | |a Penrose, Roger. |0 http://id.loc.gov/authorities/names/n82139094 |
| 600 | 1 | 7 | |a Penrose, Roger |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJxt43Fym3RryVPrXcYdcP |
| 650 | 0 | |a Quantum theory. |0 http://id.loc.gov/authorities/subjects/sh85109469 | |
| 650 | 0 | |a Realism. |0 http://id.loc.gov/authorities/subjects/sh85111767 | |
| 650 | 0 | |a Mathematical physics. |0 http://id.loc.gov/authorities/subjects/sh85082129 | |
| 650 | 2 | |a Quantum Theory |0 https://id.nlm.nih.gov/mesh/D011789 | |
| 650 | 6 | |a Théorie quantique. | |
| 650 | 6 | |a Réalisme. | |
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| 700 | 1 | |a Presnell, Stuart, |e editor. | |
| 700 | 1 | |a McCabe, Gordon, |e editor. |0 http://id.loc.gov/authorities/names/nb2007012930 | |
| 700 | 1 | |a Eckstein, Michał, |e editor. |0 http://id.loc.gov/authorities/names/no2014162147 | |
| 700 | 1 | |a Szybka, Sebastian J., |e editor. |0 http://id.loc.gov/authorities/names/no2014161454 | |
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| contents | Road to Reality with Roger Penrose -- Authors -- Contents -- Chapter 1. From geometric quantum mechanics toquantum information -- 1.1 Introduction -- 1.2 Geometrical formulation of the Hilbert space picture -- 1.2.1 From Hermitian operators to real-valued functions -- 1.2.2 The Fubini?Study metric seen from the Hilbert space -- 1.2.3 From Hermitian inner products to classical tensor fields -- 1.2.4 Pull-back structures on submanifolds of H -- 1.3 Some applications : composite systems, entanglementand separability -- 1.3.1 Separable and maximal entangled pure states 1.3.2 Quantitative statements1.3.3 Mixed states entanglement and invariant operator valuedtensor fields -- 1.4 From quantum to classical information -- 1.5 Conclusions and outlook -- Chapter 2. Black holes in general relativity -- 2.1 Introduction -- 2.1.1 Newtonian considerations -- 2.1.2 General relativity -- 2.2 Black holes in general relativity -- 2.2.1 Early history -- 2.2.2 Uniqueness -- 2.3 Event horizons and their unforeseen properties -- 2.3.1 Event horizons -- 2.3.2 An unexpected treasure trove -- 2.4 Epilogue -- 2.4.1 Spookiness of event horizons 2.4.2 Quasi-local horizonsChapter 3. Gravitational energy: a quasi-local, Hamiltonian approach -- 3.1 Introduction -- 3.2 Symplectic relations and their generating functions -- 3.3 Lagrangian and Hamiltonian formulations of mechanics -- 3.4 Field dynamics as a symplectic relation -- 3.5 Example: symmetric versus canonical energy in Maxwell electrodynamics -- 3.6 Homogeneous Hamiltonian identity in canonical relativity -- 3.7 Examples of the gravitational boundary control and corresponding Hamiltonians -- 3.8 Concluding remarks Chapter 4. General relativity and von Neumann algebras4.1 Introduction -- 4.2 Space-time as a noncommutative space -- 4.3 Algebra of random operators -- 4.4 Differential algebra -- 4.5 Generalized space-time geometry -- 4.6 General relativity on random operators -- 4.7 Concluding remarks -- Appendix -- Chapter 5. Penrose?s metalogical argument is unsound -- 5.1 Introduction -- 5.2 Necessary conditions for out-Gödeling -- 5.3 Inconsistency/unsoundness of the antimechanist -- 5.4 A relevant discovery: Gödel?s unknowability thesis -- 5.5 Penrose?s new argument 5.6 Evolution of machines: robots and the mind5.7 A?natural? view of mathematics -- Chapter 6. Mach?s Principle within general relativity -- 6.1 Introduction -- 6.2 A Newtonian non-relativistic mechanics without absolute space -- 6.3 Machian phenomena predicted by general relativity -- 6.3.1 Accelerated inertial frames -- 6.3.2 Rotating inertial frames -- 6.3.3 Induced centrifugal force -- 6.3.4 Mass induction -- 6.4 Closed Universes rotation and the cosmological constant -- Chapter 7. Algebraic approach to quantum gravity I: relative realism -- 7.1 Introduction |
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| indexdate | 2024-11-27T13:26:46Z |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource |
| psigel | ZDB-4-EBA |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Copernicus Center Press, |
| record_format | marc |
| spelling | Road to reality with Roger Penrose / edited by James Ladyman, Stuart Presnell, Gordon McCabe, Michał Eckstein, Sebastian J. Szybka. Kraków : Copernicus Center Press, 2015. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Online resource; title from PDF title page (EBSCO, viewed September 11, 2015). Includes bibliographical references. Road to Reality with Roger Penrose -- Authors -- Contents -- Chapter 1. From geometric quantum mechanics toquantum information -- 1.1 Introduction -- 1.2 Geometrical formulation of the Hilbert space picture -- 1.2.1 From Hermitian operators to real-valued functions -- 1.2.2 The Fubini?Study metric seen from the Hilbert space -- 1.2.3 From Hermitian inner products to classical tensor fields -- 1.2.4 Pull-back structures on submanifolds of H -- 1.3 Some applications : composite systems, entanglementand separability -- 1.3.1 Separable and maximal entangled pure states 1.3.2 Quantitative statements1.3.3 Mixed states entanglement and invariant operator valuedtensor fields -- 1.4 From quantum to classical information -- 1.5 Conclusions and outlook -- Chapter 2. Black holes in general relativity -- 2.1 Introduction -- 2.1.1 Newtonian considerations -- 2.1.2 General relativity -- 2.2 Black holes in general relativity -- 2.2.1 Early history -- 2.2.2 Uniqueness -- 2.3 Event horizons and their unforeseen properties -- 2.3.1 Event horizons -- 2.3.2 An unexpected treasure trove -- 2.4 Epilogue -- 2.4.1 Spookiness of event horizons 2.4.2 Quasi-local horizonsChapter 3. Gravitational energy: a quasi-local, Hamiltonian approach -- 3.1 Introduction -- 3.2 Symplectic relations and their generating functions -- 3.3 Lagrangian and Hamiltonian formulations of mechanics -- 3.4 Field dynamics as a symplectic relation -- 3.5 Example: symmetric versus canonical energy in Maxwell electrodynamics -- 3.6 Homogeneous Hamiltonian identity in canonical relativity -- 3.7 Examples of the gravitational boundary control and corresponding Hamiltonians -- 3.8 Concluding remarks Chapter 4. General relativity and von Neumann algebras4.1 Introduction -- 4.2 Space-time as a noncommutative space -- 4.3 Algebra of random operators -- 4.4 Differential algebra -- 4.5 Generalized space-time geometry -- 4.6 General relativity on random operators -- 4.7 Concluding remarks -- Appendix -- Chapter 5. Penrose?s metalogical argument is unsound -- 5.1 Introduction -- 5.2 Necessary conditions for out-Gödeling -- 5.3 Inconsistency/unsoundness of the antimechanist -- 5.4 A relevant discovery: Gödel?s unknowability thesis -- 5.5 Penrose?s new argument 5.6 Evolution of machines: robots and the mind5.7 A?natural? view of mathematics -- Chapter 6. Mach?s Principle within general relativity -- 6.1 Introduction -- 6.2 A Newtonian non-relativistic mechanics without absolute space -- 6.3 Machian phenomena predicted by general relativity -- 6.3.1 Accelerated inertial frames -- 6.3.2 Rotating inertial frames -- 6.3.3 Induced centrifugal force -- 6.3.4 Mass induction -- 6.4 Closed Universes rotation and the cosmological constant -- Chapter 7. Algebraic approach to quantum gravity I: relative realism -- 7.1 Introduction English. Where does the road to reality lie? This fundamental question is addressed in this collection of essays by physicists and philosophers, inspired by the original ideas of Sir Roger Penrose, the English mathematical physicist and philosopher of science. The topics range from black holes and quantum information to the very nature of mathematical cognition itself.--Provided by publisher. Penrose, Roger. http://id.loc.gov/authorities/names/n82139094 Penrose, Roger fast https://id.oclc.org/worldcat/entity/E39PBJxt43Fym3RryVPrXcYdcP Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Realism. http://id.loc.gov/authorities/subjects/sh85111767 Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Quantum Theory https://id.nlm.nih.gov/mesh/D011789 Théorie quantique. Réalisme. Physique mathématique. SCIENCE Philosophy & Social Aspects. bisacsh Mathematical physics fast Quantum theory fast Realism fast Ladyman, James, 1969- editor. https://id.oclc.org/worldcat/entity/E39PBJcKKpBkxQ3BWbc6rkWhpP http://id.loc.gov/authorities/names/n2001011984 Presnell, Stuart, editor. McCabe, Gordon, editor. http://id.loc.gov/authorities/names/nb2007012930 Eckstein, Michał, editor. http://id.loc.gov/authorities/names/no2014162147 Szybka, Sebastian J., editor. http://id.loc.gov/authorities/names/no2014161454 has work: Road to reality with Roger Penrose (Text) https://id.oclc.org/worldcat/entity/E39PCG4wWfxHdqrxTt7CJhf44q https://id.oclc.org/worldcat/ontology/hasWork Erscheint auch als: Druck-Ausgabe Ladyman, James. Road to Reality with Roger Penrose FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1059896 Volltext |
| spellingShingle | Road to reality with Roger Penrose / Road to Reality with Roger Penrose -- Authors -- Contents -- Chapter 1. From geometric quantum mechanics toquantum information -- 1.1 Introduction -- 1.2 Geometrical formulation of the Hilbert space picture -- 1.2.1 From Hermitian operators to real-valued functions -- 1.2.2 The Fubini?Study metric seen from the Hilbert space -- 1.2.3 From Hermitian inner products to classical tensor fields -- 1.2.4 Pull-back structures on submanifolds of H -- 1.3 Some applications : composite systems, entanglementand separability -- 1.3.1 Separable and maximal entangled pure states 1.3.2 Quantitative statements1.3.3 Mixed states entanglement and invariant operator valuedtensor fields -- 1.4 From quantum to classical information -- 1.5 Conclusions and outlook -- Chapter 2. Black holes in general relativity -- 2.1 Introduction -- 2.1.1 Newtonian considerations -- 2.1.2 General relativity -- 2.2 Black holes in general relativity -- 2.2.1 Early history -- 2.2.2 Uniqueness -- 2.3 Event horizons and their unforeseen properties -- 2.3.1 Event horizons -- 2.3.2 An unexpected treasure trove -- 2.4 Epilogue -- 2.4.1 Spookiness of event horizons 2.4.2 Quasi-local horizonsChapter 3. Gravitational energy: a quasi-local, Hamiltonian approach -- 3.1 Introduction -- 3.2 Symplectic relations and their generating functions -- 3.3 Lagrangian and Hamiltonian formulations of mechanics -- 3.4 Field dynamics as a symplectic relation -- 3.5 Example: symmetric versus canonical energy in Maxwell electrodynamics -- 3.6 Homogeneous Hamiltonian identity in canonical relativity -- 3.7 Examples of the gravitational boundary control and corresponding Hamiltonians -- 3.8 Concluding remarks Chapter 4. General relativity and von Neumann algebras4.1 Introduction -- 4.2 Space-time as a noncommutative space -- 4.3 Algebra of random operators -- 4.4 Differential algebra -- 4.5 Generalized space-time geometry -- 4.6 General relativity on random operators -- 4.7 Concluding remarks -- Appendix -- Chapter 5. Penrose?s metalogical argument is unsound -- 5.1 Introduction -- 5.2 Necessary conditions for out-Gödeling -- 5.3 Inconsistency/unsoundness of the antimechanist -- 5.4 A relevant discovery: Gödel?s unknowability thesis -- 5.5 Penrose?s new argument 5.6 Evolution of machines: robots and the mind5.7 A?natural? view of mathematics -- Chapter 6. Mach?s Principle within general relativity -- 6.1 Introduction -- 6.2 A Newtonian non-relativistic mechanics without absolute space -- 6.3 Machian phenomena predicted by general relativity -- 6.3.1 Accelerated inertial frames -- 6.3.2 Rotating inertial frames -- 6.3.3 Induced centrifugal force -- 6.3.4 Mass induction -- 6.4 Closed Universes rotation and the cosmological constant -- Chapter 7. Algebraic approach to quantum gravity I: relative realism -- 7.1 Introduction Penrose, Roger. http://id.loc.gov/authorities/names/n82139094 Penrose, Roger fast https://id.oclc.org/worldcat/entity/E39PBJxt43Fym3RryVPrXcYdcP Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Realism. http://id.loc.gov/authorities/subjects/sh85111767 Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Quantum Theory https://id.nlm.nih.gov/mesh/D011789 Théorie quantique. Réalisme. Physique mathématique. SCIENCE Philosophy & Social Aspects. bisacsh Mathematical physics fast Quantum theory fast Realism fast |
| subject_GND | http://id.loc.gov/authorities/names/n82139094 http://id.loc.gov/authorities/subjects/sh85109469 http://id.loc.gov/authorities/subjects/sh85111767 http://id.loc.gov/authorities/subjects/sh85082129 https://id.nlm.nih.gov/mesh/D011789 |
| title | Road to reality with Roger Penrose / |
| title_auth | Road to reality with Roger Penrose / |
| title_exact_search | Road to reality with Roger Penrose / |
| title_full | Road to reality with Roger Penrose / edited by James Ladyman, Stuart Presnell, Gordon McCabe, Michał Eckstein, Sebastian J. Szybka. |
| title_fullStr | Road to reality with Roger Penrose / edited by James Ladyman, Stuart Presnell, Gordon McCabe, Michał Eckstein, Sebastian J. Szybka. |
| title_full_unstemmed | Road to reality with Roger Penrose / edited by James Ladyman, Stuart Presnell, Gordon McCabe, Michał Eckstein, Sebastian J. Szybka. |
| title_short | Road to reality with Roger Penrose / |
| title_sort | road to reality with roger penrose |
| topic | Penrose, Roger. http://id.loc.gov/authorities/names/n82139094 Penrose, Roger fast https://id.oclc.org/worldcat/entity/E39PBJxt43Fym3RryVPrXcYdcP Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Realism. http://id.loc.gov/authorities/subjects/sh85111767 Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Quantum Theory https://id.nlm.nih.gov/mesh/D011789 Théorie quantique. Réalisme. Physique mathématique. SCIENCE Philosophy & Social Aspects. bisacsh Mathematical physics fast Quantum theory fast Realism fast |
| topic_facet | Penrose, Roger. Penrose, Roger Quantum theory. Realism. Mathematical physics. Quantum Theory Théorie quantique. Réalisme. Physique mathématique. SCIENCE Philosophy & Social Aspects. Mathematical physics Quantum theory Realism |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1059896 |
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