A mathematically coherent quantum gravity /

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"Version: 20200901"--Title page verso.Includes bibliographical references.Preface : why you should read this book -- 1. Quantum theory -- 1.1. Basic notions -- 1.2. Non-relativistic quantum theory -- 1.3. Exploiting quantum theory embedded in classical gravity -- 1.4. Special relativity -- 1.5. Dirac relativistic spinor theory -- 1.6. von Neumann algebras -- 1.7. A higher level of abstraction : quantum W*-algebras -- 1.8. A brief comparison with the approach of Rovelli and Penrose2. Computational spin networks and quantum paths in space-time -- 2.1. Introduction -- 2.2. The measurement of space and time -- 2.3. Computational spin networks -- 2.4. The homology invariants of space-time -- 2.5. Quantum paths in space-time -- 2.6. Fractal paths in classical space-time -- 2.7. Supersymmetry and the spinor calculus -- 2.8. Irreducible representations of the Poincar?e Lie algebra -- 2.9. Dirac spinors and the spinor calculus3. Particles in algebraic quantum gravity -- 3.1. Introduction -- 3.2. Lie groups, fibre bundles and quantum fields in loop quantum gravity -- 3.3. A remarkable theorem -- 3.4. Properties of the projection onto the base space B of a Stonean fibre bundle K -- 3.5. Quantum connections -- 3.6. The supersymmetric extension of the standard model -- 3.7. Factorial representations of the graded Lie algebra -- 3.8. Does supersymmetry exist? ATLAS results for Run 2 of the LHC at 13 TeV -- 3.9. Adding fermions and bosons to the mix -- 3.10. The 10-dimensional pure gravity action -- 3.11. Adding bosons to the theory -- 3.12. Adding fermions -- 3.13. Symmetry breaking to create mass4. The algebraic nature of reality -- 4.1. Introduction -- 4.2. Symmetry invariance and symmetry breaking in Yang-Mills quantum fields -- 4.3. The structure of local algebras of Yang-Mills quantum fields -- 4.4. Developing a diffeomorphism invariant theory for quantum states -- 4.5. The information dynamics of black holes -- 4.6. Summary of chapter 45. Implications -- 5.1. Implications for mathematics -- 5.2. Further implications for physics.The development of a successful theory of quantum gravity in the context of the early universe is the key next step in theoretical physics. This book takes that step by describing a coherent mathematical framework for both the evolution of discrete space-time and the quantum graviton in the Planck regime. In doing so it successfully blends developments in both loop quantum gravity and superstring theory with data from the Large Hadron Collider. The result is a coherent mathematical framework that encapsulates newer developments on both the evolution of discrete space-time and the quantum graviton in the early universe. In doing so it addresses a key issue concerning loop quantum gravity raised by Ashtekar: describing conditions for the existence of locally translation-invariant quantum states; a quantum form of the diffeomorphisms of General Relativity.PhD students and active researchers.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Professor James Moffat, C Math FIMA FOR, has an honorary chair in Physics at the University of Aberdeen (Kings College) where he is part of the Quantum Gravity and Advanced Engineering research group. His Researchgate.net publication impact score puts him in the top 20% of scientists globally; based on over 100 peer reviewed publications and several books, mostly published in the USA. Prior to that he was one of the most senior scientists advising the UK government on Defence and Security and has a global reputation for mathematical modelling. Winner of the President's Medal of the Operational Research Society (The 'Nobel Medal in Analytics') the Napier medal in mathematics and the Einstein Medal of the US Marine Corps. He is an advisor to the Parliamentary and Scientific Committee of the UK Parliament.Title from PDF title page (viewed on October 5, 2020).

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: .,

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1 online resource (various pagings).

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English

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9780750325806

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530.1/43

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SCIENCE / Physics / Quantum Theory.
Quantum gravity

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James Moffat.

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