“Aethereal Fractal Structures for the Electron & the Proton” for NPA Conference 19 Albuquerque, New Mexico July 26, 2012 by William R. Hohenberger 2743.

“Aethereal Fractal Structuresfor the Electron & the Proton”

for

NPA Conference 19Albuquerque, New Mexico

July 26, 2012

by

William R. Hohenberger2743 First Street, Fort Myers, FL 33916

Email: [email protected]

Table of Contents

1 – A Very Quick Review a) The Structure of Aether & Chargeb) Electromagnetic Wavesc) Dodecahedron Quark Ball (Field Vectors - not Particles)

d) Aethereal Fractalse) The Hexagonal Fractalf) Sierpinski’s Triangle & Pyramid

2 – Electron Structure & Electron Mass3 – Proton Structure & Proton Mass

Aether as a Field Of Independent Energy Cells

This is a structure that is very flexible, pliable, and elastic.

A Basic Energy Cell at Planck’s Length

Negative Charge No Charge Positive Charge

Oscillatory Systems

1 - Pendulum2 - Water Waves3 - Sound Waves4 - Timing Springs (clock or wrist watch)

-All oscillating systems require mass and a medium to oscillate.

-They all oscillate between stored or potential energy & dynamic energy or momentum.

- An Electromagnetic wave is a rotary oscillating system.

1st Generation Electromagnetic Wave

2nd Generation Electromagnetic Wave

Point of

Origin

Point of

Origin

A 2nd Generation Rotary Oscillatory Electromagnetic Wave

The Dodecahedron Quark (Vector) Ball

The Dodecahedron Quark (Vector) Ball Unfolded

Simhony’s Electron-Positron Lattice

- Three coincident Down Quark force Fields (virtual Electron)- Three coincident Up Quark Force Fields (virtual Positron)

The Motion of Aethereal Energy as an Electromagnetic Wave passes by

Motion of the Water as a Water Wave passes by

An 11 Loop Fractal

1 2r r r

1 2R R R

1 2

1 2sin

r rrS

R R R

22

N

sinSN

22 2

rR r r

S

2

1 11

r Sr S S

1 1

2 2 2

1 1 21 2

r R r Sr R r S S

2 2

1

r R Sr R S

1 1 2 1 21

1

r R r Sr R r S

N

1

2

.261799

39

.25881904

5

1.863703

31

.3491981

86

.650801

814

1

1

.285599

33

.28173255

7

1.559465

53

.3922390

74

.607760

926

1

0

.314159

27

.30901699

4

1.236067

99

.4472135

95

.552786

405

9 .349065

85

.34202014

3

.9238044

00

.5198033

65

.480196

635

8 .392699

08

.38268343

2

.6131259

30

.6199144

04

.380085

596

7 .448798

95

.43388373

9

.3047648

71

.7664216

15

.233578

385

6 .523598

78

.50000000

0

0 1 0

S = Scaling RatioN = Number of Loops

N sinS N 1 2r r 1r r2r r

1st & 2nd Generation 11 Twist-Loop Fractals

1st & 2nd Generation 7 Twist-Loop Fractals

r2

r1

r1

r2

R

1

R

2

1st & 2nd Generation 9.5 Twist-Loop Fractals

The Hexagonal Twist-Loop Fractal

A 3D Hexagonal Twist-Loop Fractal Structure

Third Generation (216 Energy Cell) Octahedral Structure for the Hexagonal Twist-Loop Fractal

Combining the Dodecahedron Quark Ball and a2nd Generation (36 Energy Cell) Octahedral Structure

for the Hexagonal Twist-Loop Fractal

Comparing the Octahedral Structure for the Hexagonal Twist-Loop Fractal with

Sierpinski’s Pyramind

The Octahedral Hexagonal Twist-Loop Fractal as the Structure for an Electron

The Octahedron & the Cube are

Dual Polyhedral

Energy Cell (Aetheron) Resolution

The Phi Pyramid as the Cause for Charge

(φ) = √5/2 + .5 (1/φ) = √5/2 - .5

Periodic Table for the Hexagonal Fractal(Scaling Ratio = .5 or 2)

Scaling Factor of (2)11 = 2048Product of Levels 2 thru 11 = 2047(2048) 7 = 1.511157275E+23 (.69%)(2047) 7 = 1.505999746E+23 (.32%)(2046) 7 = 1.500857313E+23 (.03%)

Compton Wavelength (Electron) = 2.42631020 E-12Planck’s Length = 1.6162520E-35

Ratio Compton / PL = 1.501195458E+2377th Root = 1.999828

7th Root = 2046.065846

Internal Electron Structure Energy Cell Connections

77 Layers (1 Generation) 10 Layers - 7 Generations (11 Layers – 7 Generations)

Electron Energy Cells Proton Mass Ratio Proton Energy Cells

Energy Cells / 7 Layers (Generations)(6) 70 = 2.9552044E+54 1836.152670 5.426206449E+57(6) 77 = 8.2726810E+59 1836.152670 1.518990536E+63

Energy Cells / Layer (each Generation)(6) 10 = 60,466,176 2.925988948 176,923,362.7

2.925988966 176,923,363.82.925988984 176,923,364.9

(6) 11 = 362,797,0562.925988948 1,061,540,176.12.925988966 1,061,540,182.82.925988984 1,061,540,189.5

Proton Mass (Energy Cells)

Proton Structure

Proton Charge Radius = 8.768E-16Charge Radius Circumference =

= 2R = 5.5091E-15Planck’s Length =

1.616252E-35Ratio of Cir./PL =

3.4086E+207th root Cir. = 857.4966

857 LoopsS = Sin /857 = .00366579

1 / S = 272.79for 1/32 in. Dia. = 8.52

inches 176,293,363 (10 Layers)1,061,540,183 (11 Layers)

Proton Charge Radius = 8.768E-16Charge Radius Circumference =

= 2R = 5.5091E-15Planck’s Length =

1.616252E-35Ratio of Cir./PL =

3.4086E+207th root Cir. = 857.4966

857 LoopsS = Sin /857 = .00366579

1 / S = 272.79for 1/32 in. Dia. = 8.52 inches

176,293,363 (10 Layers)1,061,540,183 (11 Layers)

Compton Wavelength (Electron) = 2.42631020 E-12

(2048) 7 = 1.511157275E+23 Planck’s Length = 1.6055974E-

35Ratio of Cir./PL = 3.43118E+20

7th root Cir. = 858.291858 Loops

S = Sin /858 = .00366152 1 / S = 273.11

for 1/32 in. Dia. = 8.52 inches

1,061,540,183 (11 Layers)

Compton Wavelength (Electron) = 2.42631020 E-12

(2048) 7 = 1.505999746E+23 Planck’s Length = 1.6111236E-

35Ratio of Cir./PL = 3.41941E+20

7th root Cir. = 857.870858 Loops

S = Sin /858 = .00366152 1 / S = 273.11

for 1/32 in. Dia. = 8.52 inches 176,293,363 (10 Layers)

Proton Structure by Variations in Planck’s Length

CODATA Planck’s Length 10 by 7 or 70 Layers 11 by 7 or 77 Layers

Proton Structure (continued)

Proton Structure (continued)

Proton Structure (continued)

Proton Structure (continued)

Summary

This theory proposes that Energy Cells (aetherons) are the smallest form of energy within the aether, that the internal structure of an aetheron is the same as all other frequencies of electromagnetic wave structures within the aether, and that all mass structures are made from various structures of aetherons.

Aetherons are proposed to be magnetic dipoles, which form a plethora of mass and field structures within the aether. Charge is defined by the Phi Pyramid. Quarks are proposed to be charge/magnetic field vectors within the aether, and RGB colors of quarks represent the three polar dimensions.

Aetherons form strings and loops of energy which are strung together in four (4) dimensions, but are charged and vibrate or oscillate in three (3) dimensions. Aether is in constant change and is everything but homogeneous.

Leptons are proposed to be octahedrons, and Baryons are proposed to be torroidal loops, which are both made from individual aethorns and are both derived from the same mathematical formula.

The Hexagonal Fractal is integrated with Sierpinski’s Pyramid, the Dodecahedron Quark Ball and the Phi Pyramid.

Electrons, Protons and other particles are formed by polar coincident quark vector fields, and Simhony’s Electron-Positron Lattice is defined by the internal electromagnetic quark-wave structure.

Structures for both the Electron and the Proton are derived from a common fractal formula and coincide with their respective CODATA masses; however, there still remains the issue of the .32% and/or .67% error in structurally determining Planck’s Length , which must be resolved.