Fluctuations, Information, Gravity and the Quantum Potential (eBook, PDF)
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A main theme of the book outlines the role of the quantum potential in quantum mechanics and general relativity and one of its origins via fluctuations formulated in terms of Fisher information. Another theme is the description of various approaches to Bohmian mechanics and their role in quantum mechanics and general relativity. Along the way various approaches to, for instance, the Dirac equation, the Einstein equations, the Klein-Gordon equation, the Maxwell equations and the Schrödinger equations are described. Statistics and geometry are intertwined in various ways and, among other matter...
A main theme of the book outlines the role of the quantum potential in quantum mechanics and general relativity and one of its origins via fluctuations formulated in terms of Fisher information. Another theme is the description of various approaches to Bohmian mechanics and their role in quantum mechanics and general relativity. Along the way various approaches to, for instance, the Dirac equation, the Einstein equations, the Klein-Gordon equation, the Maxwell equations and the Schrödinger equations are described. Statistics and geometry are intertwined in various ways and, among other matters, the aether, cosmology, entropy, fractals, quantum Kaehler geometry, the vacuum and the zero point field are discussed. There is also some speculative material and some original work along with material extracted from over 1000 references and the work is current up to April 2005. TOC:Preface. 1: The Schrödinger Equation. 2: De Broglie-Bohm in Various Contexts. 3: Gravity and the Quantum Potential. 4: Geometry and Cosmology. 5: Fluctuations and Geometry. 6: Information and Entropy. 7: On the Quantum Potential. 8: Remarks on QFT and Tau Functions. Appendix A: De Donder-Weyl Theory. Appendix B: Relativity and Electromagnetism. Appendix C: Remarks on Quantum Gravity. Appendix D: Dirac on Weyl Geometry. Appendix E: Biconformal Geometry. Bibliography. Index.
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