THE RESULTS OF THE MATHEMATICAL PHYSICS RESEARCH CONCERNING THE ELEMENTARY ELECTROMAGNETIC WAVE FORMS THE LEPTONS AND THE PHOTONS
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Part 2 Scope
These reports of Part 2 contain the core findings of the mathematical physics research work of Jim Fisher which was begun on July 4 1991 and continued almost nonstop for the next 21 years. This research work focused on discovering mathematical descriptions for many of the essential measured physical properties of the elementary electromagnetic wave forms, the leptons and the photons. These elementary wave forms stabilize both gravitational and electromagnetic energy which are interpreted by humans as mass and charge respectively. In addition to the efforts focusing on these stabilized or encapsulated energy quantities, this work was also extended to investigating the interactive relationship between the three measured free space forces; gravitational, electrical, and magnetic, as they assemble to create both of these electromagnetic particle classes.
These research efforts were successful and the equations discovered are presented in these next several reports. Thus these next several reports are technical in nature. Never-the-less they only require a knowledge of second semester calculus to understand the equations presented and even less to follow the discussions. These reports cover material as follows.
Chapter 2.1 A Model For Determining Physical Properties I: Properties Of Leptons
Demonstrates a mathematical model for calculating the elementary charge of the leptons and for the masses of all three of the known leptons. Chapter/article abstract below.
Chapter 2.2 A Model For Determining Physical Properties II: Properties Of Photons
Demonstrates a continuation of the mathematical model for calculating physical property information for all the elementary electromagnetic waveforms in a very analogous manner, for both the leptons and the photons alike. Chapter/article abstract below.
Chapter 2.3 A Model For Determining Physical Properties III: ternary Force Interaction Constant
Shows how there is a Ternary Force Interaction Constant which appears to underlie the structures discovered for the elementary electromagnetic wave forms. Chapter/article abstract below.
Note the below content listing will NOT transfer you to the indicated location in this Part of the book. You must download the PDF file. The listings are just to indicate the depth of material contained in this book.
PART 2 List Of Contents | Page |
Introduction/Scope | 1 |
Chapter 2.1 A Model For Determining Physical Properties I: Properties Of Leptons |
6 |
Chapter 2.2 A Model For Determining Physical Properties II: Properties Of Photons |
43 |
Chapter 2.3 A Model For Determining Physical Properties III: Ternary Force Interaction Constant |
70 |
PART 2 List Of Tables | |
Table | Page |
Introduction/Scope, Table 1, Basic Physical Constants Used In This Work | 4 |
Chapter 1, Table 1, Value Of Lepton Radial Equation Integrals | 24 |
Chapter 1, Table 2, Value Of Lepton Angular Equation Integrals | 25 |
Chapter 1, Table 3, Lepton Radial x Angular Products | 25 |
Chapter 1, Table 4, Lepton Particle Scale Factors | 25 |
Chapter 1, Table 5, Results Of Derivations For Masses Of Leptons | 26 |
Chapter 1, Table 6, Comparison Of Lepton Mass Derivations To Measurements | 26 |
Chapter 1, Table 7, General Angular Equation Correspondences | 35 |
Chapter 1, Table 8, Stepwise Values Of The Radial Equation Integrals | 39 |
Chapter 1, Table 9, Stepwise Values Of The Angular Equation Integrals | 39 |
Chapter 2, Table 1, Calculation Of The Planck Constant | 56 |
Chapter 2, Table 2, Calculation Of The Electron Mass | 57 |
Chapter 2, Table 3, Integrals Of Free Standing Functions Used In e_{p} | 61 |
Chapter 2, Table 4, Result Of Sign Variations Of Equation Parameters For Leptons | 62 |
Chapter 2, Table 5, Result Of Sign Variations Of Equation Parameters For Photons | 63 |
Chapter 2, Table 6, Spin Of Leptons And Photons | 67 |
Chapter 3, Table 1, Definition Of Absolute Physics Measurement Units | 72 |
Chapter 3, Table 2, Selection Of A Candidate Constant From Combinations Of Force Constants |
79 |
Chapter 3, Table 3, Equations For Elementary Physical Properties, Symbolic With Units | 82 |
Chapter 3, Table 4, Equations For Elementary Physical Properties, Numerical | 83 |
Chapter 3, Table 5, Decomposition Factors Of Ternary Force Interaction Constant | 85 |
PART 2 List Of Figures | |
Figure | Page |
Chapter 1, Figures 1.1 & 1.2, Radial Mass Patterns Of Leptons | 27 |
Chapter 1, Figures 2.1-2.4, Lepton Angular Functions Polar Coordinate Appearance | 28 |
Chapter 1, Figures 3.1-3.4, Lepton Angular Functions Rectilinear Appearance | 29 |
Chapter 1, Figures 4.1-4.4, Lepton Angular Functions Times Initial Condition Polar Coordinate Appearance |
30 |
Chapter 1, Figures 4.1-4.4, Lepton Angular Functions Times Initial ConditionRectilinear Appearance | 31 |
Chapter 2, Figures 1.1 & 1.2, Typical Fraunhofer Diffraction Functions FHDif(kr^{1}) | 49 |
Chapter 2, Figures 2.1 & 2.2, Typical Fraunhofer Diffraction Functions FHDif(kr^{1/2}) | 50 |
Chapter 2, Figure 3, Photon Radial Pattern Of (ML)(L/T) | 58 |
PART 2 List Of Pictures | |
Picture | Page |
Chapter 1, Picture 1, A Highly Magnified Slow Motion Electron | 12 |
Chapter 2, Picture 1, A Highly Magnified Slow Motion Photon | 46 |
Chapter 2.1 A Model For Determining Physical Properties I: Properties Of Leptons (excerpt)
Abstract
Equations have been found which explain some of the physical properties of the leptons, to a decimal accuracy matching that of their measurement. These equations set logical patterns and can be explained in terms of easy to understand three dimensional geometric pictures. This mathematical model is not derived from any hypothesis but was developed from a data correlative approach. It contains several new mathematical constants. Anyone familiar with the quantum mechanical description of the hydrogen electron shells can easily use these analogous equations to derive the masses of the three leptons; the electron e with m_{e} = 9.109,389,7 x 10^{-31} kg, the muon µ with m_{µ}= 1.883,532,7 x 10^{-28}kg, and the tau τ with m_{τ} = 3.167,88 x 10^{-27}kg. Additionally, the charge of the leptons, e = 1.602,177,33 x 10^{-19}C, can now be understood as arising from the torsion of certain energy structures for these particles, when formulated in terms of vectors. The model also predicts that an overlooked fourth member of the lepton family with a net positive mass is mathematically possible.
Chapter 2.2 A Model For Determining Physical Properties II: Properties Of Photons (excerpt)
Abstract
The mathematical forms which describe the structures of all the basic electromagnetic waveforms (particles), leptons and photons alike, are discussed in this report. Specifically, an equation is presented which explains the value of the Planck constant h, 6.626,075,5 x 10^{-34} (kgm)(m/s). This equation has a general form very similar to those which were discovered that predict the masses of the leptons. From a mathematical view, only a few modifications are required to go from the leptons to the photons and vice versa. The form of this photon equation contrasted with the general form of the lepton equations points toward explanations of the notable physical property differences between the photons and the leptons, e.g. the photons have no mass, display no charge, and have a spin different from the leptons, et cetera. The nature of this photon equation and the geometry that it represents has several profound implications for cosmology and particle physics.
Chapter 2.3 A Model For Determining Physical Properties III: Ternary Force Interaction Constant (excerpt)
Abstract
An equation has been discovered which explains the universal Ternary Force Interaction constant, (G/ε_{o})^{0.5}/μ_{o} = 2.184,555,091 x 10^{+6} (C/kg relative)(L/T absolute)^{2}. Previous work discovered equations which described the mass densities of the leptons and the (ML)(L/T) for the photons in terms of G, ε_{o}, and μ_{o}. The equation found for the interaction amongst the three basic forces uses two of the same generic mathematical forms found with these elementary electromagnetic wave forms. Two of the equation’s specific factors are identical, unchanged factors straight from these classes of wave forms. The resulting value calculated from this equation matches the decimal accuracy of the least accurately measured force constant, G. This value and the definitive mathematical-geometric explanations, with their links to the elementary electromagnetic wave form, are far superior to any hypothesis to date which attempts to specify the inter-relation of the three basic forces gravitational, electrical, and magnetic.