The hybrid grand unified theory:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore
World Scientific
2009
|
| Schriftenreihe: | Atlantis studies in mathematics for engineering and science
3 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | XI, 132 S. |
| ISBN: | 9789078677215 |
Internformat
MARC
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|---|---|---|---|
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| 336 | |b txt |2 rdacontent | ||
| 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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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018734627 | |
Datensatz im Suchindex
| _version_ | 1819379172297932800 |
|---|---|
| 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- Escultura, E. Leela, Srinivasa 1936- |
| author_GND | (DE-588)104268050 (DE-588)123072417 |
| author_facet | Lakshmikantham, Vangipuram 1926- Escultura, E. Leela, Srinivasa 1936- |
| author_role | aut aut aut |
| author_sort | Lakshmikantham, Vangipuram 1926- |
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| bvnumber | BV035876958 |
| callnumber-first | Q - Science |
| callnumber-label | QC794 |
| callnumber-raw | QC794.6.G7 |
| callnumber-search | QC794.6.G7 |
| callnumber-sort | QC 3794.6 G7 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)426679740 (DE-599)BVBBV035876958 |
| dewey-full | 530 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530 |
| dewey-search | 530 |
| dewey-sort | 3530 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV035876958 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T14:02:06Z |
| institution | BVB |
| isbn | 9789078677215 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018734627 |
| oclc_num | 426679740 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | XI, 132 S. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific |
| record_format | marc |
| series | Atlantis studies in mathematics for engineering and science |
| series2 | Atlantis studies in mathematics for engineering and science |
| spellingShingle | Lakshmikantham, Vangipuram 1926- 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 |
| url | 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 |
| volume_link | (DE-604)BV036703056 |
| work_keys_str_mv | AT lakshmikanthamvangipuram thehybridgrandunifiedtheory AT esculturae thehybridgrandunifiedtheory AT leelasrinivasa thehybridgrandunifiedtheory |