●Part I A GLOBAL LOGIC RETHINKING
Chapter 1Logic improprieties hidden in the classical electromagnetism
l. 1Two presupposed basic propositions
1.1.1Clarification on the "finite discourse universe" of classical electromagnetism
1.1.2Exact certification on the physical connotation of current as a formal quantity
1.2Incompatibility between independent and dependent variables
1.2.1An initial and intuitive judgement about the incompatibility between independent and dependent variables
1.2.2A necessary clarification on the universal charge conservation law
1.2.3Another required comment on the solvability of governing equation
1.2.4Some positive inspirations from the incompatibilities
1.2.5Recertificating the essential significance of potential functions
1.2.6A brief summary
1.3Reeertifieation of the logic subjects of two directly measured quantities, E and B, and the reinterpretation of Lorentz-foree law
1.3.1Reason to impermissibly directly use E and B as dependent variables An added comment about logic subject
1.3.2Reinterpretation about Lorentz-force law
1.3.3A beneficial inspiration An added comment on the ambiguity caused by the relativity principle of movement
1.4Connotation of the current distribution J as an independent variable and the different consequences from the reality
1.4.1The real connotation hidden in the given current distribution
1.4.2Two different consequences originating from the physical reality
1.4.3Reiteration on the plain logic principle
1.5Maxwell's equations impossibly used as a proper mathematic-physical model An appended note
1.6Summary
Part IIHISTORICAL CLARIFICATION ON SERIES OF EMPIRICAL EQUATIONS
Chapter 2Electrostatics and Coulomb's law
2.1Coulomb's empirical law
2.l.1A definite expression space endowed with certain material connotation Reinterpretation about the second Newtonian law and related philosophical thinking
2.1.2Certification on the qualification
2.2Introduction of electromagnetic field
2.2.1Objectivity -- the unique criterion to judge material existence
2.2.2A universal existing principle of science statement
2.2.3No-mass and no-geometry: essential attributes of electromagnetic field An added comment about the existence principle
2.3Electric field
2.3.1Introduction of the classical expressed electric field E
2.3.2Curl and divergence of E
2.4A scalar potential more basic or indispensable in logic
2.4.1Logic reexamination on vector field E
2.4.2Reintroduction of scalar potential
2.4.3An acceptable interpretation on scalar potential
2.5A complete mathematic physical model of electrostatics
2.5.1The exact clarity on a complete mathematic physical model
2.5.2Certification of proper governing differential equation
2.5.3Integral expression of Poisson's equation
2.5.4Introduction of proper boundary conditions
2.5.5Complete mathematic physical model used in electrostatics
2.6Clarification about some concepts or propositions
2.6.1Sign present in boundary condition
2.6.2A needed and reasonable extension of finite discourse domain
2.6.3Scalar potential ψ only belonging to the rest and unvarying charge source
Chapter 3Magnetostatics, Biot-Savart's formula and Ampere's law
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Chapter 4Faraday's law--Reinvestigation into "the action of magnet on electricity" A historical excursus
Chapter 5Discriminations on displacement current--Exploration into the real connotation hidden in the false assumption
Chapter 6A rationally imagined theoretical equation--Reconstruction on basic equations to express the electromagnetic field excited only by a varying current
Part IIILOGICAL RESTUDY ON SOME UNSOLVED BASIC PRO ITIONS IN MATHEMATICS
Chapter 7Bispinor and boundary value problem constructed by bispinor
Chapter 8Inverse propositions of vector field analysis
Chapter 9Bispinor wave equation
Part IVLOGICAL RECONSTRUCTION ON THE FORMAL SYSTEM OF ELECTROMAGNETISM
Chapter 10Dynamic equation in electromagnetism
Chapter 11Electromagnetic field and wave as well as permanent principle of light velocity and curved light trace
References
Index
