On the Emergence Theme of Physics

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World Scientific, 2010 - Mathematics - 275 pages
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The book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution). The emergence theme is developed with an emphasis on the meaning via mathematics. A background theme of Bohemian mechanics and connections to the quantum equivalence principle of Matone et al. is also developed in great detail. Some original work relating the quantum potential and Ricci flow is also included.
  

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Contents

Chapter 1 SOME QUANTUM BACKGROUND
1
Chapter 2 SOME GEOMETRIC ASPECTS
37
Chapter 3 ASPECTS OF EMERGENCE
75
Chapter 4 KALUZAKLEIN AND COSMOLOGY
95
Chapter 5 REMARKS ON THERMODYNAMICS AND GRAVITY
121
Chapter 6 GEOMETRY AND MECHANICS
167
Chapter 7 ON TIME AND THE UNIVERSE
205
Chapter 8 GRAVITY AND THE QUANTUM POTENTIAL
225
Bibliography
247
Index
271
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About the author (2010)

Robert Carroll is a veteran cheesemaker who founded the New England Cheesemaking Supply Company with his brother Ricki. Their book, Cheesemaking Made Easy, is considered a valued reference for fellow cheesemakers. Robert lives in Massachsetts.

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