The hybrid grand unified theory:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore
World Scientific
2009
|
| Series: | Atlantis studies in mathematics for engineering and science
3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 132 S. |
| ISBN: | 9789078677215 |
Staff View
MARC
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| 245 | 1 | 0 | |a The hybrid grand unified theory |
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Atlantis studies in mathematics for engineering and science |v 3 | |
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Record in the Search Index
| _version_ | 1826831283774291968 |
|---|---|
| adam_text |
Contents
Preface
v
1.
Basic
Problems
of Mathematics and Physics
1
1.1
Introduction
. 1
1.2
Retrospection of Fundamentals
. 1
1.3
The Problems of Physics
. 5
1.4
Related Concepts
. 8
1.4.1
Waves and Vibration
. 8
1.4.2
Cosmic Waves
. 9
1.4.3
The Sine and Related Curves
. 10
1.4.4
Generalized Fractal
. 10
2.
Mathematics of Grand Unified Theory
13
2.1
Introduction
. 13
2.2
Hybrid Real Number System
. 13
2.2.1
The Construction of Hybrid Real Number System
. 14
2.2.2
The Nonterminating Decimals
. 16
2.2.3
The Structure of R*
. 21
2.2.4
More Properties of
Nonstandard
Numbers
. 23
2.2.5
g-Limit and the Limit
. 24
2.3
Special Functions and the Generalized Curves
. 25
2.3.1
Some Mischievous Functions
. 25
2.3.2
The Infinitesimal Zigzag
. 25
2.3.3
Significance of the Infinitesimal Zigzag
. 26
2.3.4
The Wild Oscillation
sin
A
. 27
2.3.5
Rapid Spiral and Oscillation
. 28
2.3.6
Rectification
. 28
2.3.7
Application of the Infinitesimal Zigzag
. 29
2.3.8
The Generalized Curves
. 31
2.4
Generalized Fractal and Chaos
. 32
2.4.1
Definitions and Examples
. 32
2.4.2
The Peano Space-Filling Curve
. 33
2.4.3
Filling up the Unit Cube
. 35
2.4.4
The Infinitesimal Zigzag as Limit Set of Fractal
. 35
2.4.5
A More General Fractal
. 36
2.5
The Integrated Pontrjagin Maximum Principle
. 38
The Hybrid Grand Unified Theory
2.5.1
The Integrated Version
. 38
2.5.2
Formulation of the Problem
. 38
2.5.3
Existence Theorems
. 39
2.5.4
The Pontrjagin Maximum Principle
. 41
2.5.5
The Integrated Form of the Pontrjagin Maximum Principle
. 43
3.
Grand Unified Theory (GUT)
45
3.1
Introduction
. 45
3.2
The Search for the Basic Constituent of Matter
. 45
3.2.1
The
Primům
. 48
3.2.2
Primal Polarity
. 49
3.2.3
Primům,
Photon and Wave-Particle Duality
. 50
3.2.4
Matter-Anti-Matter Interaction
. 51
3.2.5
Qualitative and Computational Models of the
Primům
and Photon
. 51
3.3
Quantum Gravity
. 51
3.3.1
Primal Coupling and Interaction
. 52
3.3.2
Do Coupled
Prima
have Anti-Matter?
. 53
3.3.3
Genesis of the Atom and Formation of Heavy Isotope
. 53
3.3.4
Superconductivity and the Bose-Einstein Condensate
. 54
3.3.5
Electric Current, Generation and Conduction
. 56
3.3.6
Thermonuclear Reaction
. 57
3.3.7
Further Verification of Quantum Gravity
. 58
3.3.8
Updates
. 59
3.4
Macro Gravity
. 59
3.4.1
The Cosmology of our Universe
. 61
3.4.2
Early Cosmological History of the Earth
. 63
3.4.3
Cosmological Vortex Interaction and the Trek Back Home to Dark Matter
64
3.4.4
Cosmic Waves
. 67
3.5
More Verification of GUT
. 67
3.5.1
Issues, Facts and Internal Dynamics of our Universe
. 68
3.5.2
The Milky Way and Andromeda and their "Cannibalistic" Activity
. 70
3.5.3
Point of No Return
. 70
3.5.4
Stable Universe
. 71
3.5.5
A Paradox No More
. 71
3.5.6
The Transitory Natural Laws
. 72
3.5.7
Ultra-Energetic Cosmic Waves
. 72
3.5.8
Celestial Spectacle
. 72
3.5.9
More Verification in the Cosmos
. 73
3.5.10
Verification in the Solar System
. 73
3.6
An Overview of GUT
. 74
3.6.1
The Mathematics of GUT
. 75
3.6.2
The Laws of Nature
. 77
3.6.3
Formation of a Universe
. 79
4.
Theoretical Applications
83
4.1
Introduction
. 83
4.2
The Solution of the Gravitational
η
-Body
Problem
. 83
4.2.1
Preliminaries
. 83
4.2.2
The Solution of the Gravitational
л
-Body
Problem
. 85
Contents
4.2.3 General
Case of the
Problem. 87
4.2.4
Solution for the Other Categories of Bodies in the Cosmos
. 87
4.2.5
Extension
. 88
4.2.6
Concluding Remark
. 90
4.3
Theory of Turbulence
. 91
4.3.1
Qualitative Modeling
. 91
4.3.2
Geological Turbulence
. 92
4.3.3
Earthquake
. 92
4.3.4
Volcanic Activity
. 93
4.3.5
Atmospheric Turbulence
. 94
4.3.6
Tornado
. 96
4.3.7
Lightning
. 98
4.4
The Physics of the Mind
. 98
4.4.1
The Mind
. 98
4.4.2
The Human Brain
. 99
4.4.3
BrainWaves
. 100
4.4.4
Resonance
. 100
4.4.5
Sensation and Concepts
. 101
4.4.6
Value, Perception and Cognition
. 104
5.
Hybrid Unified Theory
107
5.1
Introduction
. 107
5.2
Mind and Consciousness
. 109
5.3
Inanimate and Animate Matter
.
Ill
5.4
Evolution and Involution
. 113
5.5
Big Bang and Big Crunch
. 115
5.6
Sristi and
Laya
(Creation and Dissolution)
. 116
5.7
Infinite Void and Infinite Light
. 117
5.8
Phenomenon and Noumenon
. 120
5.9
Conclusion
. 122
Bibliography
125
Index
131 |
| any_adam_object | 1 |
| author | Lakshmikantham, Vangipuram 1926-2012 Escultura, E. Leela, Srinivasa 1936- |
| author_GND | (DE-588)104268050 (DE-588)123072417 |
| author_facet | Lakshmikantham, Vangipuram 1926-2012 Escultura, E. Leela, Srinivasa 1936- |
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| dewey-ones | 530 - Physics |
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| dewey-search | 530 |
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| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV035876958 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-17T09:01:15Z |
| institution | BVB |
| isbn | 9789078677215 |
| language | English |
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| physical | XI, 132 S. |
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| publisher | World Scientific |
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| series | Atlantis studies in mathematics for engineering and science |
| series2 | Atlantis studies in mathematics for engineering and science |
| spelling | Lakshmikantham, Vangipuram 1926-2012 Verfasser (DE-588)104268050 aut The hybrid grand unified theory Singapore World Scientific 2009 XI, 132 S. txt rdacontent n rdamedia nc rdacarrier Atlantis studies in mathematics for engineering and science 3 Grand unified theories (Nuclear physics) Mathematik (DE-588)4037944-9 gnd rswk-swf Große Vereinheitlichung (DE-588)4158251-2 gnd rswk-swf Große Vereinheitlichung (DE-588)4158251-2 s Mathematik (DE-588)4037944-9 s DE-604 Escultura, E. Verfasser aut Leela, Srinivasa 1936- Verfasser (DE-588)123072417 aut Atlantis studies in mathematics for engineering and science 3 (DE-604)BV036703056 3 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018734627&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lakshmikantham, Vangipuram 1926-2012 Escultura, E. Leela, Srinivasa 1936- The hybrid grand unified theory Atlantis studies in mathematics for engineering and science Grand unified theories (Nuclear physics) Mathematik (DE-588)4037944-9 gnd Große Vereinheitlichung (DE-588)4158251-2 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4158251-2 |
| title | The hybrid grand unified theory |
| title_auth | The hybrid grand unified theory |
| title_exact_search | The hybrid grand unified theory |
| title_full | The hybrid grand unified theory |
| title_fullStr | The hybrid grand unified theory |
| title_full_unstemmed | The hybrid grand unified theory |
| title_short | The hybrid grand unified theory |
| title_sort | the hybrid grand unified theory |
| topic | Grand unified theories (Nuclear physics) Mathematik (DE-588)4037944-9 gnd Große Vereinheitlichung (DE-588)4158251-2 gnd |
| topic_facet | Grand unified theories (Nuclear physics) Mathematik Große Vereinheitlichung |
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