Chapter
THE LAW OF NATURE: SPHERICAL
QUANTITY IN DYNAMIC CALCULUS
THE LAW OF NATURE: SPHERICAL
QUANTITY IN DYNAMIC CALCULUS
LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA
PART I. THE ATOMIC STRUCTURE
Chapter 1: SPHERICAL QUANTITY IN TWO-DIMENSIONAL SPACETIME
1.1. INTRODUCTION TO SPHERICAL QUANTITY
1.2. LINEAR SPACETIME AND LIMITATIONS
1.3. TWO-DIMENSIONAL SPACETIME
1.3.1. Harmonic Oscillation
1.3.3. Duality in an LC Circuit
1.3.4. Duality Equation vs. Schrödinger’s Equation
1.4.1. Infinitesimal Calculus Review
1.4.3. Spacetime Continuity
1.4.4. Properties of Spherical Quantity
1.5. LINEAR INTERPRETATION OF SPHERICAL QUANTITY
1.5.1 Spherical Quantity by Rotatory Vector
1.5.2. Spherical Quantity in Euclidean Space
1.5.3. Introduction to Spherical View
Chapter 2: THE THEORY OF QUATERNITY
2.1. FOUR SPACE DIMENSIONS
2.1.1. Four Geometric Elements in a Sphere
2.1.2. Orthogonality and Scalability of Four Dimensions
2.2. QUATERNITY SPACETIME
2.2.1. Symmetry and Complementarity of Time and Space
2.2.2. Rotatory Operation and Quaternity Equation
2.2.3. Electronic Orbitals in Neon Shell
2.2.4. Dimension Encapsulation
2.2.5. Differential Chain Rule
2.3. FOUR-DIMENSIONAL HARMONIC OSCILLATIONS
2.3.1. Harmonic Oscillation in One Dimension
2.3.2. Harmonic Oscillation in Two Dimensions
2.3.3. Harmonic Oscillation in Three Dimensions
2.3.4. Harmonic Oscillation in Four Dimensions
2.3.5. Four Kinds of Orbital Geometries
2.4. COMPATIBILITY WITH CLASSICAL AND QUANTUM MECHANICS
Chapter 3:
DYNAMIC CALCULUS IN VECTOR CALCULUS
3.1. DYNAMIC CALCULUS AS VECTOR CALCULUS ALONG A PATH
3.2. VECTOR CALCULUS IN TWO-DIMENSIONAL SPACE
3.3. VECTOR CALCULUS IN QUATERNITY SPACE
3.3.1. Polor in the First Dimension
3.3.2. Metor in the Second Dimension
3.3.3. Vitor in the Third Dimension
3.3.4. Scalor in the Fourth Dimension
3.4. ORBITAL SYNCHRONIZATIONS
3.5. ELECTRONIC INTERACTION THROUGH VIRTUAL PHOTON
Chapter 4:
QUATERNITY, RELATIVITY, AND QUANTUM
MECHANICS
4.2. QUATERNITY ON EPR PARADOX
4.3. SPECIAL RELATIVITY IN QUATERNITY
Chapter 5:
THE ATOMIC STRUCTURE
5.1. ELECTRONIC ORBITALS IN ARGON SHELL
5.1.1. Spherical Quantities for 3s3p Electrons
5.1.2. Complementary Orbitals Due to Direction Shift
5.1.3. Dimension Factors as Operators
5.2. ELECTRONIC ORBITALS IN KRYPTON SHELL
5.2.1. Coordination of Circular Complex Functions
5.2.2. Circular Complex Functions as Exponential Functions
5.2.3. Circular Complex Functions as Radian Angles
5.2.4. Spherical Quantities for 3d Electrons
5.2.5. Complementary Orbitals Due to Standpoint Shift
5.3. ELECTRONIC ORBITALS IN RADON SHELL AND BEYOND
5.3.1. Spherical Quantities for 4f Electrons
5.3.2. Quaternity Periodic Table of Elements
5.3.3. Forces and Electronic Waves
5.3.4. Atomic Shell Octet
PART II. THE NATURAL PATTERN
Chapter 6:
ANISOTROPIC 2P ORBITALS AND CHIRAL CARBON
6.1. EVIDENCE OF ANISOTROPIC 2P ORBITALS
6.1.1. Geometries of 2p Orbitals
6.1.2. Covalent Bonds in Methane, Ethene, and Ethyne
6.1.3. Nucleophilic Substitutions of Alkyl Halides
6.1.4. Covalent Bonds in Aromatic Rings
6.1.5. Electrophilic Substitutions of Mono-Substituted Benzenes
6.2.1. Density Gradient of 2s2p Orbitals
6.2.2. The Origin of Molecular Chirality
6.2.3. Physical Principle of Optical Rotation
6.2.4. Chiral Disposition by Electrophilic Groups
6.2.5. Selective Electron Flow Through Chiral Centers
Chapter 7:
DNA CIRCUITS AND WAVE FUNCTIONS
7.1. DNA ELECTRICAL CONDUCTIVITY
7.1.1. DNA Electric Elements and Circuitry
7.1.2. Model Discussion and Prediction
7.2.1. Harmonic Oscillations between the Base Pairs
7.2.2. Mathematical Form of DNA
Chapter 8:
THE PRINCIPLE OF CELLS AND LIFE
8.1. HELIUM MODEL FOR ROPE STRUCTURE
8.2. NEON MODEL FOR BIOCHEMICAL CYCLES
8.2.4. Enzymatic Catalyses
8.2.5. Metabolism and ATP Cycle
8.3. ZINC MODEL FOR ENDOSYMBIOTIC ORGANELLES
8.4. DNA CIRCUITRY FOR THE HUMAN LINEAGE
8.5. WAVE FUNCTIONS FOR BIOLOGICAL VARIABLES
8.6. ROTATORY OPERATION FOR MIND AND BODY RELATIONSHIP
8.7. THE POISSON DISTRIBUTION AND EVOLUTION
8.8. THE LAW OF NATURE AND GYROSCOPE
Chapter 9:
CIRCULAR MOTION AND CENTRAL FORCE
9.1. MANIFESTATIONS OF CIRCULAR MOTION
9.2. KEPLER’S LAW IN THE ATOMIC SPACETIME
Chapter 10:
THE ORDER OF PHYSICAL QUANTITIES
10.1. DIMENSIONS OF SPHERICAL QUANTITIES
10.2. DIMENSIONS OF PHYSICAL QUANTITIES
10.3. INTERPRETATION OF ELECTROMAGNETIC QUANTITIES
10.4. ON THE UNIFICATION OF PHYSICAL QUANTITIES
10.5. THERMODYNAMIC QUANTITIES
Chapter 11:
RATIONAL CORE OF CHINESE MEDICINE
11.1. YIN AND YANG INTERPRETATION OF SPACE AND TIME
11.2. INTRODUCTION TO “YI JING”
11.3. FOUR SPHERICAL QUADRANTS IN “YI JING”
11.4. GEOMETRICAL INTERPRETATION OF FIVE ELEMENT THEORY
11.5. QUATERNITY INTERPRETATION OF EIGHT TRIGRAMS
APPENDIX I. REVIEW QUESTIONS
APPENDIX II. GLOSSARY OF KEY CONCEPTS
APPENDIX III. THE LAW OF NATURE IN
MATHEMATICAL FORMULAE
2.2.2. Rotatory Operation and Quaternity Equation
2.2.3. Electronic Orbitals in Neon Shell
2.2.4. Dimension Encapsulation
2.2.5. Differential Chain Rule
2.3. FOUR-DIMENSIONAL HARMONIC OSCILLATIONS
2.3.1. Harmonic Oscillation in One Dimension
2.3.2. Harmonic Oscillation in Two Dimensions
2.3.3. Harmonic Oscillation in Three Dimensions
2.3.4. Harmonic Oscillation in Four Dimensions
2.3.5. Four Kinds of Orbital Geometries
2.4. COMPATIBILITY WITH CLASSICAL AND QUANTUM MECHANICS
Chapter 3:
DYNAMIC CALCULUS IN VECTOR CALCULUS
3.1. DYNAMIC CALCULUS AS VECTOR CALCULUS ALONG A PATH
3.2. VECTOR CALCULUS IN TWO-DIMENSIONAL SPACE
3.3. VECTOR CALCULUS IN QUATERNITY SPACE
3.3.1. Polor in the First Dimension
3.3.2. Metor in the Second Dimension
3.3.3. Vitor in the Third Dimension
3.3.4. Scalor in the Fourth Dimension
3.4. ORBITAL SYNCHRONIZATIONS
3.5. ELECTRONIC INTERACTION THROUGH VIRTUAL PHOTON
Chapter 4:
QUATERNITY, RELATIVITY, AND QUANTUM
MECHANICS
4.2. QUATERNITY ON EPR PARADOX
4.3. SPECIAL RELATIVITY IN QUATERNITY
Chapter 5:
THE ATOMIC STRUCTURE
5.1. ELECTRONIC ORBITALS IN ARGON SHELL
5.1.1. Spherical Quantities for 3s3p Electrons
5.1.2. Complementary Orbitals Due to Direction Shift
5.1.3. Dimension Factors as Operators
5.2. ELECTRONIC ORBITALS IN KRYPTON SHELL
5.2.1. Coordination of Circular Complex Functions
5.2.2. Circular Complex Functions as Exponential Functions
5.2.3. Circular Complex Functions as Radian Angles
5.2.4. Spherical Quantities for 3d Electrons
5.2.5. Complementary Orbitals Due to Standpoint Shift
5.3. ELECTRONIC ORBITALS IN RADON SHELL AND BEYOND
5.3.1. Spherical Quantities for 4f Electrons
5.3.2. Quaternity Periodic Table of Elements
5.3.3. Forces and Electronic Waves
5.3.4. Atomic Shell Octet
PART II. THE NATURAL PATTERN
Chapter 6:
ANISOTROPIC 2P ORBITALS AND CHIRAL CARBON
6.1. EVIDENCE OF ANISOTROPIC 2P ORBITALS
6.1.1. Geometries of 2p Orbitals
6.1.2. Covalent Bonds in Methane, Ethene, and Ethyne
6.1.3. Nucleophilic Substitutions of Alkyl Halides
6.1.4. Covalent Bonds in Aromatic Rings
6.1.5. Electrophilic Substitutions of Mono-Substituted Benzenes
6.2.1. Density Gradient of 2s2p Orbitals
6.2.2. The Origin of Molecular Chirality
6.2.3. Physical Principle of Optical Rotation
6.2.4. Chiral Disposition by Electrophilic Groups
6.2.5. Selective Electron Flow Through Chiral Centers
Chapter 7:
DNA CIRCUITS AND WAVE FUNCTIONS
7.1. DNA ELECTRICAL CONDUCTIVITY
7.1.1. DNA Electric Elements and Circuitry
7.1.2. Model Discussion and Prediction
7.2.1. Harmonic Oscillations between the Base Pairs
7.2.2. Mathematical Form of DNA
Chapter 8:
THE PRINCIPLE OF CELLS AND LIFE
8.1. HELIUM MODEL FOR ROPE STRUCTURE
8.2. NEON MODEL FOR BIOCHEMICAL CYCLES
8.2.4. Enzymatic Catalyses
8.2.5. Metabolism and ATP Cycle
8.3. ZINC MODEL FOR ENDOSYMBIOTIC ORGANELLES
8.4. DNA CIRCUITRY FOR THE HUMAN LINEAGE
8.5. WAVE FUNCTIONS FOR BIOLOGICAL VARIABLES
8.6. ROTATORY OPERATION FOR MIND AND BODY RELATIONSHIP
8.7. THE POISSON DISTRIBUTION AND EVOLUTION
8.8. THE LAW OF NATURE AND GYROSCOPE
Chapter 9:
CIRCULAR MOTION AND CENTRAL FORCE
9.1. MANIFESTATIONS OF CIRCULAR MOTION
9.2. KEPLER’S LAW IN THE ATOMIC SPACETIME
Chapter 10:
THE ORDER OF PHYSICAL QUANTITIES
10.1. DIMENSIONS OF SPHERICAL QUANTITIES
10.2. DIMENSIONS OF PHYSICAL QUANTITIES
10.3. INTERPRETATION OF ELECTROMAGNETIC QUANTITIES
10.4. ON THE UNIFICATION OF PHYSICAL QUANTITIES
10.5. THERMODYNAMIC QUANTITIES
Chapter 11:
RATIONAL CORE OF CHINESE MEDICINE
11.1. YIN AND YANG INTERPRETATION OF SPACE AND TIME
11.2. INTRODUCTION TO “YI JING”
11.3. FOUR SPHERICAL QUADRANTS IN “YI JING”
11.4. GEOMETRICAL INTERPRETATION OF FIVE ELEMENT THEORY
11.5. QUATERNITY INTERPRETATION OF EIGHT TRIGRAMS
APPENDIX I. REVIEW QUESTIONS
APPENDIX II. GLOSSARY OF KEY CONCEPTS
APPENDIX III. THE LAW OF NATURE IN
MATHEMATICAL FORMULAE
The Law of Nature: Spherical Quantity in Dynamic Calculus
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