| Description |
1 online resource (xii, 275 pages) |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 247-270) and index. |
| Summary |
"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."--Jacket. |
| Contents |
Ch. 1. Some quantum background. 1. DeBroglie-Bohm mechanics. 2. On the Gutzwiller trace formula. 3. More on metaplectic techniques -- ch. 2. Some geometric aspects. 1. Introduction. 2. Remarks on Weyl geometry. 3. Emergence of Q in geometry. 4. Other geometric aspects. 5. The quantum potential and geometry. 6. Conformal and quantum mass. 7. Ricci flow and the quantum potential. 8. Remarks on the Friedman equations. 9. Enhancement. 10. Some heuristic results -- ch. 3. Aspects of emergence. 1. Introduction. 2. Some classical quantum relations. 3. NC fields and gravity. 4. Gerbes and structure -- ch. 4. Kaluza-Klein and cosmology. 1. Introduction. 2. Kaluza-Klein theory. 3. Induced matter theory. 4. More on electromagnetism. 5. 5-D physics. 6. Some quantum connections. 7. Remarks on cosmology. 8. Extensions -- ch. 5. Remarks on thermodynamics and gravity. 1. Introduction. 2. Horizons, entropy, and all that. 3. Thermodynamics and FRW formats. 4. The geometry of thermodynamics. 5. FRW following (4) and (5). 6. Thermodynamics and quantum gravity -- I. 7. Thermodynamics and quantum gravity -- II. 8. Thermodynamics and quantum gravity -- III -- ch. 6. Geometry and mechanics. 1. More on emergence. 2. Quantum mechanics, gravity, and Ricci flow. 3. Thermodynamics, gravity, and quantum theory. 4. More on gravitation. 5. Black holes and thermodynamics -- ch. 7. On time and the universe. 1. Time. 2. Spacetime, mathematics, and physics. 3. Non-commutative geometry. 4. More on fundamental matters -- ch. 8. Gravity and the quantum potential. 1. Introduction. 2. Background. 3. QEP and gravity. 4. On the Klein-Gordon equation. 5. Quantization. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Quantum theory.
|
|
Quantum theory. |
|
General relativity (Physics)
|
|
General relativity (Physics) |
|
Emergence (Philosophy)
|
|
Emergence (Philosophy) |
| Genre/Form |
Electronic books.
|
|
Electronic books -- Electronic books.
|
| Other Form: |
Print version: Carroll, Robert Wayne, 1930- On the emergence theme of physics. Singapore ; Hackensack, NJ : World Scientific, ©2010 9789814291798 (OCoLC)435421728 |
| ISBN |
9789814291804 (electronic book) |
|
9814291803 (electronic book) |
|
9789814291798 |
|
981429179X |
|
9814304824 |
|
9789814304825 |
|
