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El. knyga: Theory of Everything: Quantum and Relativity is everywhere A Fermat Universe [Taylor & Francis e-book]

  • Formatas: 216 pages, 1 Tables, black and white; 49 Illustrations, color; 2 Illustrations, black and white
  • Išleidimo metai: 18-Mar-2020
  • Leidėjas: Pan Stanford Publishing Pte Ltd
  • ISBN-13: 9781315099750
Kitos knygos pagal šią temą:
  • Taylor & Francis e-book
  • Kaina: 56,31 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standartinė kaina: 80,44 €
  • Sutaupote 30%
Theory of Everything: Quantum and Relativity is everywhere A Fermat UniverseDidesnis paveikslėlis
  • Formatas: 216 pages, 1 Tables, black and white; 49 Illustrations, color; 2 Illustrations, black and white
  • Išleidimo metai: 18-Mar-2020
  • Leidėjas: Pan Stanford Publishing Pte Ltd
  • ISBN-13: 9781315099750
Kitos knygos pagal šią temą:
Taylor & Francis e-booksMore info about Taylor & Francis e-books
Partnerių interneto svetainė: https://www.taylorfrancis.com/books/9781315099750
The book unifies quantum theory and the general theory of relativity. As an unsolved problem for about 100 years and influencing so many fields, this is probably of some importance to the scientific community. Examples like Higgs field, limit to classical Dirac and KleinGordon or Schrödinger cases, quantized Schwarzschild, Kerr, KerrNewman objects, and the photon are considered for illustration. An interesting explanation for the asymmetry of matter and antimatter in the early universe was found while quantizing the Schwarzschild metric.
About Motivation and Luck xi
1 Brief Introduction
1(6)
The Stamler Approach: A Brief Historical Overview of the Original Idea
1(6)
2 Theory
7(24)
The Generalized Metric Dirac Operator
7(3)
Scalar Product in Laplace-Beltrami Form
10(5)
Example: Schwarzschild Metric
15(1)
Transition to the Metric Schrodinger or Covariant Schrodinger Equation
16(2)
Further Considerations
18(2)
Example: The Classical Dirac Equation in the Minkowski Space-Time and Its Extension to Arbitrary Coordinates
20(4)
The Connection to the Einstein Field Equations
24(1)
Summing Up the Recipe: The Forward Derivation
25(1)
Summing Up the Recipe: The Backward Derivation
26(1)
Example: The Higgs Field
27(2)
Example: Eigenvalue Solutions for Simple Fields with K(fm) = F(fm)* fm=P*mfm
29(2)
3 The ID Quantum Oscillator in the Metric Picture
31(24)
The Classical Harmonic Quantum Oscillator within the Metric Picture or the Theory of Everything
32(9)
Gaussian-Like Metric Approach
41(3)
Cos-Like Metric Approach
44(1)
Question of Quantizing the Solution
45(5)
The Level Underneath
50(2)
Conclusions to the "Einstein Oscillator"
52(3)
4 The Quantized Schwarzschild Metric
55(12)
The Quantization of Time in the Vicinity of a Schwarzschild Object
57(1)
The Quantization of Mass for a Schwarzschild Object
58(1)
The Level Underneath (see also [ 16] or Section "The ID Quantum Oscillator in the Metric Picture")
59(1)
Investigations in Connection with the Speed of Light within the Level Underneath
60(2)
Discussion with Respect to rs(nr)/t(nt) = Clevel2
62(1)
Discussion with Respect to rend(nr, nt)/t[ nr, nt = Clevel2
63(1)
How to Evaluate the Speed of Light of the Level Underneath?
64(1)
Conclusions to Quantized Schwarzschild
65(2)
5 Matter-Antimatter Asymmetry
67(2)
Application to Dirac-Schwarzschild Particles at Rest
67(2)
6 Generalization of "The Recipe": From h to the Planck Tensor
69(30)
Generalization to Non-diagonal Metrics
69(4)
Generalization of the "Clever Zero"
73(1)
The Generalized "Vectorial Dirac Root"
73(4)
Examples for Other "Vectorial Dirac Roots"
77(4)
Simple square root with shear component with Ξ(X) = X2
77(1)
Simple square root with shear component with Ξ(X) = X2 with virtual parameters Ei of various orders of "virtuality"
77(1)
Simple cubic root Ξ(X) = X3
78(1)
Simple cubic root Ξ(X) = X3 with virtual parameter c
79(1)
Simple quartic root Ξ(X) = X4
79(1)
Simple quartic root Ξ(X) = X4 with virtual parameter c
80(1)
Extension/Generalization to Arbitrary Functional Approaches for K(fn)
81(1)
The Planck functional
81(1)
Extension/Generalization to Arbitrary Derivative Approaches: The Generalized Gradient of fn
82(1)
Extension/Generalization to Higher-Order Planck Tensors
83(1)
Summing Up the Generalized Recipe: The Forward Derivation
84(1)
Summing Up the Generalized Recipe: The Backward Derivation
85(1)
Backward Example: The Higgs Field Revisited (Extended Consideration from [ 15])
86(8)
Forward Example: The Harmonic Oscillator and Eigenvalue Solutions for Simple Fields with k(fm) = F(fm)*fm = p*mfm Revisited (Extended Consideration from [ 10])
94(3)
Conclusions to "Generalization of the Recipe"
97(2)
7 About Fermat's Last Theorem
99(4)
Introduction
99(1)
Motivation
100(1)
Why is That?
100(1)
Fermat's Own Proof?
101(2)
8 Dirac Quantization of the Kerr Metric
103(12)
The Generalized Metric Dirac Operator for a Kerr Object "at Rest"
103(3)
Further Results and Trials
106(3)
The Spatial Appearance of the Leptons
109(2)
Conclusions to the Quantized Schwarzschild and Kerr Objects
111(4)
9 The Photon
115(34)
The Photon Metric
115(4)
Connections with Maxwell
119(2)
The Other Way to Fulfill the Maxwell Equations with Plane Waves
121(1)
Illustrations
122(1)
Spatial Extension of the Solution and the Localized Photon
123(5)
Localizing the Photon Forces It to Evolve Spin
128(2)
Option A Leading to Magnetic Charges
130(1)
Option B Leading to Magnetic Displacement Current Density
131(1)
Option C Finding the Correct Metric, a Yet Unsolved Problem
132(5)
Suspicion about Connections to Compactified Coordinates
137(3)
The Alternative Interpretation Using Real and Imaginary Part
140(3)
Further Illustrations and a Few Words about the Absence of Magnetic Monopoles in Our Observable Universe
143(3)
The Total Spatial Displacement for the Photon
146(2)
Conclusions to the Photon
148(1)
10 How the Quantum Theory Already Resides in the Einstein-Hilbert Action
149(46)
Theory: The Discarded Term
149(8)
The One-Dimensional Case
157(2)
The Harmonic Quantum Oscillator in ID in the Metric Picture
159(5)
The Three-Dimensional Case
164(6)
Connection with the Technique of the "Intelligent Zero" of a Line Element
170(2)
Theory: The Conjecture 8Rap = Matter & Energy and the Extended-Einstein Field Equations
172(1)
Most Symmetric and Isotropic Virtual Matter Solutions in 2D, 3D, and 4D
173(1)
Four Most Simple Solutions for the Whole Thing in 4D: The Matter and Antimatter Asymmetry and Why Time is Different
174(2)
The Two-Dimensional Case
176(1)
Intermediate Result: The n-Dimensional Case
176(1)
Antimatter and Spin
177(1)
An Adapted Schwarzschild Solution
178(3)
Eigenequations Derived from δRαβ for Shear-Free Metrics
181(6)
In Four Dimensions
182(2)
In Three Dimensions
184(1)
In Two Dimensions
185(2)
Summing Up This Section
187(1)
Separation Approaches
187(5)
The 2D Case
187(1)
The 3D Case
188(1)
The 4D Case
189(1)
Summing the Last Section Up
189(3)
Example: Symmetry of Revolution
192(3)
References 195(4)
Index 199
N. Schwarzer graduated in physics from the University of Chemnitz in July 1991. After several research projects abroad and a PhD in the field of contact mechanics in 1998, he became an assistant professor at the University of Chemnitz in 1999. In 2005, he founded the Saxonian Institute of Surface Mechanics on Germanys biggest island, Ruegen (www.siomec.de/kranich). He has published a variety of papers, mainly in the fields of basic research and application of contact mechanical approaches for laminates, composites, and layered materials. Because of the need for better stability prediction and socioeconomic models, he started to apply concepts from theoretical physics in more down-to-earth fields like material science, school transport, and sales market analysis. Some of this work has finally led to ideas for the improvement of the original theoretical concepts.
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