Life Intelligence Wave — Unifying Mathematics, Physics, and Chemistry
Life Intelligence Wave presents a bold and original vision for unifying the foundations of mathematics, physics, and chemistry through a single structural language. Rather than treating these disciplines as isolated domains connected only by applications, this book reveals a deeper common logic underlying existence, stability, and emergence across all scales of nature.
At the core of the book lies the Structure-Driven Proof paradigm, a new methodological framework that shifts scientific reasoning away from explicit construction and local calculation toward global structural necessity. Using the universal geometric triad Point–Line–Circle, the author demonstrates that many of the most profound open problems in science—such as the distribution of prime numbers, the Riemann zeros, the Yang–Mills mass gap, confinement in QCD, chemical bond stability, and phase transitions—are not accidental phenomena, but inevitable outcomes of recursive structural evolution.
The book introduces a unifying “ultimate formula” that governs structure generation, feedback, and closure across mathematics, physical fields, and chemical systems. Through this lens, existence is shown to be forced by structure, stability to be guaranteed by closure, and universality to arise from structural isomorphism across disciplines. Mathematics and physics are revealed to share the same proof logic, while chemistry emerges as a natural bridge between abstract structure and material realization.
Life Intelligence Wave is not merely a theoretical synthesis; it is a manifesto for a new way of doing science—one that views the universe itself as an evolving intelligent structure. By integrating modern mathematics, fundamental physics, and chemical dynamics into a coherent framework, this book offers a powerful blueprint for future research in complex systems, artificial intelligence, and the next generation of unified theories.
This work is intended for researchers, theorists, and visionary thinkers seeking a deeper understanding of how structure, information, and intelligence shape reality itself.
Contents
Author Biography / 1
Preface / 1
Part I — The Ultimate Unified Mathematical Wisdom Wave
Chapter One: The Cosmic Laws and the Triadic Generative System
Section 1. The Universal Mathematical Formula Based on the
Cosmic Laws and the Nine-Level Ultimate Theory /13
Section 2. Logical Foundations of Mathematical Structures /19
Section 3. The Ultimate Axiomatic Model of Mathematics /27
Section 4. Verification of the Universal Mathematical Formula /44
A Unified Analysis of Infinite Series, Prime Distributions, and High-Dimensional Topology
Chapter Two: Triadic Cyclic Mapping of Mathematical Proofs
Section 1. Apex Directions of Algebra, Geometry, and Probability /51
Section 2. Cyclic Mappings among Algebra, Geometry, and Probability /55
Section 3. Mapping of Additional Major Mathematical Difficult Problems /62
Chapter Three: Proof Problems at the Three Principal Summits of Mathematics
Section 1. Proof of the Riemann Hypothesis /69
The Ultimate Mathematical Formula Based on the Cosmic Laws and the Nine-Level Ultimate Theory, and Its Structural Support for the Riemann Hypothesis
Section 2. Proof of the Goldbach Conjecture /87
Statistical Modeling and Analytic Interpretation of the Goldbach Conjecture: A Proof Strategy Based on the Core Formula M(x,s)
Section 3. Proof of the Twin Prime Conjecture /111
Analytic Proof of the Twin Prime Conjecture Derived from the Cosmic Laws and the Ultimate Mathematical Formula
Section 4. Comparison of the Riemann Hypothesis, the Goldbach Conjecture, and the Twin Prime Conjecture /128
Section 5. Summary of the Mathematical Triad /140
Structure-Driven Proof: A Mathematical Proof Paradigm Centered on Structural Functions and Global Behavior
Part II — The Ultimate Unified Physical Wisdom Wave
Chapter Four: Triadic Cyclic Mappings in Physics
Section 1. Circular Mapping of Electromagnetic Waves, Gravitation, and Quantum Theory /148
Section 2. Mapping Additional Fundamental Physical Problems /151
Chapter Five: The Triadic Summits of Physical Proofs
Section 1. Unified Mechanical Field System /158
Application of the Recursive Autogenetic Formula in the Unification of Gravity and Quantum Mechanics
Section 2. Quantum Gauge Field Systems /186
A Recursive Evolution Framework for the Yang-Mills Mass Gap: From Effective Mass Generation to Quantum Verification
Section 3: Electromagnetic–Chromodynamic Energy Field System /201
Unifying Quantum Chromodynamics and M-Theory through Recursive Structural Evolution: From Iterative Formula to Ultimate Spectral Map
Section 4. Complex Structural Tests of Gravity, Quantum Theory, and Electromagnetic Waves /227
Recursive Spectral Diagrams for the QCD β Function and Confinement Signals: A Numerical Test
Section 5: Summary of the Physical Triad /244
The Color-Charge Triad and Its Structural Correspondence with the Cosmic Law (•, 1, Ο): QCD as the Physical Realization of a Triadic Generative System
Part III — The Ultimate Unified Chemical Wisdom Wave
Chapter Six: Triadic Cyclic Mappings in Chemistry
Section 1: Cyclic Mappings among Elements, Reactions, and Product Formation /255
Section 2: Mapping Additional Challenging Problems in Chemistry /257
Chapter Seven: The Triadic Summits of Chemical Proofs
Section 1: Chemical Elementology /264
Theoretical Modeling of the Chemical Periodic Table under the Universal Law -- Correspondence between Circular-Wave Structures and the Life-Intelligence Wave
Section 2: Chemical Reaction Kinetics /276
A Structural Evolution Model of Chemical Reactions from the Perspective of the Ultimate Formula
Section 3: Product Structures /302
Chemical Bonds and Information Structure: From Dot–Line–Circle to Molecular Structural Entropy
Section 4. Three-Phase Complex System of Elements, Reactions, and Products /328
Chemical Phase Transitions and Complex Systems: From Self-Organization to Information-Entropy-Driven Molecular Evolution
Section 5: Summary of the Chemical Trilogy /349
Part IV — Epilogue
Chapter Eight: Summary
Section 1: The Correspondence between the Universal Law and the Ultimate Nine-Level Theory and the Langlands Program /356
Section 2: Structure-Driven Proof Methodology -- A Unified Proof Paradigm for Mathematics, Physics, and Chemistry from the Perspective of the Ultimate Equation /369
Appendices
Appendix A: Applications of Ultimate Mathematics -- A Unified Model of the Universal Law and Non-Abelian Gauge Groups /385
Appendix B: Applications of Ultimate Physics — The Navier–Stokes Problem / 393
On the Existence and Smoothness of the Navier–Stokes Equations: A Study from the Perspective of the Energy Method