Part 2 Research Results

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 ep 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(kr1) 49
Chapter 2, Figures 2.1 & 2.2, Typical Fraunhofer Diffraction Functions FHDif(kr1/2) 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

 

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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 me = 9.109,389,7 x 10-31 kg, the muon µ with mµ= 1.883,532,7 x 10-28kg, and the tau τ with mτ = 3.167,88 x 10-27kg. Additionally, the charge of the leptons, e = 1.602,177,33 x 10-19C, 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.

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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.

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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/εo)0.5o = 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, εo, and μo. 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.

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Copyright Jim Fisher 2013

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