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Universal and Unified Field Theory YinYang Physics UNIVERSAL AND UNIFIED FIELD THEORY The 4th Edition, March 2019 Wei Xu (徐崇偉) Metropolitan Area of Washington DC, USA Dawn of a New Era Sciences in Dialectical Nature of Virtual and Physical Duality Keywords: Unified field theories and models, Spacetime topology, General theory of fields and particles, Quantum mechanics and field theories, Thermodynamics, Electromagnetism, General relativity and gravitation, Cosmology. PACS: 12.10.-g, 04.20.Gz, 11.00.00, 03.00.00, 05.70.-a, 41.00.00, 04.00.00, 98.80.-k Copyright © 2020 Virtumanity Inc. All Rights Reserved. To Those in Search of The Truth To Generations of Civilization Wei Xu （徐崇伟） September 2017 纪念中华民族的伟⼤哲学始祖，造福⼦⼦孙孙 献给母亲，美芳，丁⾣⼋⽉初⼗84岁鸡年福寿 献给宇宙真理的探索者 献给全球民族的⼦孙后代 徐崇伟 2017年9⽉22⽇ - 农历 丁⾣年 ii Abstract For the first time in mankind, Universal and Unified Field Theory is philosophically, mathematically and empirically revealed the workings of Universal Topology and Laws of YinYang Conservations. The nature of dark energies unfolds its Event Operations systematically on the origin of physical states. These principles convey and unfold the laws of topological framework, universal equations, symmetric continuity, and asymmetric dynamics systematically at the remarks of the following groundbreakings: 1. Principles of Natural Philosophy and Universal Topology 2. Framework of Contravariant and Covariant Manifolds 3. World Equations and Universal Field Equations 4. Constitution of Boost Transform and Torque Generators 5. Horizon Hierarchy of World Plane and Spacetime 6. Gauge Invariance and Quantum Chromodynamics 7. Fluxions of Symmetric Scalar and Vector Potentials 8. Thermodynamics, Dark Energy and Blackbody Radiation 9. Laws of Conservation of Photon and of Gravitation 10. Fundamentals of Weak, Strong and Spontaneous Forces 11. Asymmetric Dynamics and General Relativity 12. Cosmological Field Equations 13. Superphase Evolutions of Ontology The application of an evolutionary process to contemporary theoretical physics therefore demonstrates a holistic picture of the principal equations, empirical assumptions, and essential artifacts. It prompts the entire discipline of physics, from Newtonian to spacetime relativity to quantum mechanics, to look back to the future: Virtumanity - Dialectical Nature of Virtual and Physical Reality. Intuitively following the system of yinyang philosophy, this holistic theory is concisely accessible and replicable by readers with a basic _____________________________________________________________________________________________________ XU, Wei（徐崇伟） iii Abstract _______________________________________________________________________________________ background in mathematical derivation and theoretical physics. As a summary, this manuscript completes and unifies all of the principal equations, important assumptions, and essential laws, discovered and described by the classical and modern physics. _____________________________________________________________________________________________________ XU, Wei（徐崇伟） iv Table of Contents Dedications .................................................................................................... i Abstract ..................................................................................................... iii Forwards ..................................................................................................... xiii Chapter I - Universal Topology .................................................................... 1 Philosophical Terminologies are represented for the Topology of Universe by establishing the conceptions of virtual-physical worlds as a duality under a common environment of our universe. Chapter II - Potential Fields ..................................................................... 15 Two pairs of Yinyang potentials are introduced to illustrate Gauge entangling fields: continuum of physical space and virtual time, of which constitutes the eigenvalues of explicit magnitude and implicit Superphase modulations. Chapter III - Mathematical Framework ......................................................... 21 A mathematical framework of covariant and contravariant manifolds is established as a standardization to naturalize a scientific duality of world planes, event revelations and Yinyang manifolds. Chapter IV - World Equations ........................................................................ 41 The event evolutionary processes formulate World Equations that consists of Event Flows, Horizon Fields and Motion Operations extending Euler-Lagrange equation into a duality of operational events. Chapter V - Universal Dynamics ................................................................... 51 Based up Word Event Operations, two pairs of General Fields are revealed, upon which give rise to the Universal Equations general to all contemporary physics. _____________________________________________________________________________________________________ XU, Wei（徐崇伟） v Table of Contents _______________________________________________________________________________________ Chapter VI - Communication Infrastructure ................................................ 65 The superphase entanglements of boost and torque generators incepts naturally the operational infrastructure of Yinyang transformation, transportation, and commutation, simultaneously and complementarily. Chapter VII - Horizon of Spacetime ............................................................... 83 From two-dimension of World Planes, the physical world of the third horizon is given rise to and known as Spacetime of tetrad-dimensions. Chapter VIII - Quantum Fields ......................................................................... 91 Universal Equations are unfolded into Quantum Mechanics to acquire, but not limited to, Klein–Gordon equation, Schrödinger equation, Dirac Equation, Weyl spinners, and Pauli equation. Chapter IX - General Symmetric Dynamics ................................................ 105 The entangling characteristics of boost transformation and twist transportations constitute general symmetric fields of gravitation and electromagnetism, evolving into the well-known Maxwell's equations and Lorentz force. Chapter X - Thermodynamic Fields .......................................................... 121 Equilibria of bulk densities are given as an extension to thermodynamics, related to macro energies, statistical works, and interactive forces. Chapter XI - BlackBody Radiations ........................................................... 129 Laws of Conservation of Light and of Gravitation are uncovered that elaborate a set of photon and of graviton formulae. _____________________________________________________________________________________________________ XU, Wei（徐崇伟） vi Table of Contents _______________________________________________________________________________________ Chapter XII - Asymmetric Dynamics .......................................................... 141 The laws of nature strike aesthetically harmonics that asymmetric equations formulate the astonishing results of motion dynamics of Ontology and Cosmology. Chapter XIII - Field Evolutions ..................................................................... 175 “Two Implicit Loops of Triple Explicit Entanglements” exhibits that the horizon evolutionary fields in ontological and physical regime unifies the classical weak, strong, gravitational and electromagnetic forces, and beyond. Appendix - References .............................................................................. 197 Author Biography ...................................................................................... 204 _____________________________________________________________________________________________________ XU, Wei（徐崇伟） vii UNIVERSAL AND UNIFIED FIELD THEORY A PHILOSOPHICAL SCIENCE OF “YINYANG PHYSICS” Sciences in Dialectical Nature of Virtual and Physical Duality Foreword The terminology of Space and Time has been in currency since the inception of physics. Throughout the first generation of physics, space and time are individual parameters that have no interwoven relationship. From Euclidean space to Newtonian mechanics, the scientific approach known as classical physics seeks to discover a set of physical laws that mathematically describe the motion of bodies under the influence of a system of forces. In classical physics, it is reasonable to interpret a space as consisting of three dimensions, and time as a separate dimension. This regime has presented us with a basic conception for the Physical Existence of space and the Virtual Existence of time, although entanglements of virtual reality is hardly studied and their relationship remains unexpressed. As the second generation, modern physics couples the virtual existence of time with the physical existence of space into a single interwoven continuum, known as World Plane or Spacetime. By combining space and time into a manifold called Minkowski space, physicists have significantly simplified a large number of physical theories, as well as described in a more uniform way the workings of the universe at both the supra-galactic and subatomic levels. By revealing their interwoven inferences for the events of a hierarchical universe, the manifold continuum presents us with the enhanced logic for a complex vector of the Physical dimension of space r = {r, θ, …} and the Virtual dimension of time k = ic{t, …}, where the constant c is the speed of light, and i marks the virtual or imaginary in mathematics.
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