Essay IV

The Mathematical Formulations of Particle Alpha waves, and Partial
Particle Alpha Waves and The Proton, Electron, and the Neutron

Accompanying document is a spreadsheet showing the resulting calculations of the described mathematical formulas. 

Sandborn, M., T., and Sandborn M., D.,

153: Energy Calculation for the particle waves that form the particle alpha wave: Since each sub-particle acts independently within the octave transformation, each sub-particle must be accounted for in terms of energy. The process for determining the energy of a sub-particle is to assess the energy range of the sub-particle and take the highest energy point of the energy range as representing the total or maximum energy of the sub-particle.

The first half cycle of the charged HETO has a maximum energy of 1.
The second half cycle of the undertone charged HETO has a maximum energy of 1.

The second half cycle of the overtone charged octave energy transformation has a maximum energy of H.
The first half cycle of the undertone charged octave energy transformation has a maximum energy of B.

154: The overtone particle alpha wave energy calculation 

156: Energy Calculation for the neutral mimic of the particle alpha wave: This calculation includes the 5,6,7 and the 7,8,10 energy transformation current loops. 

163: Calculation of undertone neutral wave structure used to pair with unpaired undertone alpha waves.

Neutral undertone alpha wave mimic calculation multiplied by each of the following numbers:



Electron Energy Calculation:

Overview (see excel spreadsheet for details)

164: The electron structure is identical to the proton structure less the neutral wave bridge calculation, but at 1/1800 the energy level. The core proton structure is simply multiplied by 1/1800 to achieve the electron energy.


Neutron Energy Calculation: 

Overview (see excel spreadsheet for details)

166: The proton, as part of the neutron, has a completed alpha wave in the overtone 675th harmonic.

166: The complete neutral wave wire connecting the proton and electron is calculated as the neutral alpha wave mimic multiplied by the following numbers:



Each position on the neutral wave wire is an octave position of an established overtone charge position. For example, 225 is 3x3x5x5, and 128/225 simply places the wave in the appropriate octave while retaining the appropriate colortone or vector position.

167: The neutron energy is the sum of the adjusted proton structure less the neutral wave wire fragment, plus the complete neutral wave wire calculation.


Particle Ratio Calculation and Comparison

Overview (see excel spreadsheet for details)


168: Based on points 153-167, The calculated harmonic energy ratios are the proton:electron, the neutron:proton, and the neutron:electron.

Calculated harmonic ratios: proton:electron 1836.152462
neutron:proton 1.001378619
neutron:electron 1838.683816

169: The experimental ratios are calculated from proton, electron, and neutron mass numbers posted by the National Institute of Standards and Technology

Calculated experimental ratios: proton:electron 1836.152755
                                               neutron:proton 1.001378374
                                               neutron:electron 1838.683661



170: The percent difference of the calculated harmonic ratios from the calculated experimental ratios.

Calculated % difference: proton:electron      0.0000159% or 15.9 millionths of a percent
                                      neutron:proton      0.0000244% or 24.4 millionths of a percent
                                      neutron:electron    0.0000085% or 8.5 millionths of a percent.


171: The experimental margin of error for the particles produces a +/- error of a high and low rest mass range. These high/low ranges produce a high/low particle ratio range. The calculated harmonic ratios all fall within the experimental high/low rest mass ranges. (See excel spreadsheet for details).

                                                     proton:electron       neutron:proton      neutron:electron

Low range experimental rest mass ratios:         1836.150569           1.00137718           1838.681473

Calculated harmonic energy ratios:                   1836.152462           1.00137862           1838.683816

High range experimental ratios:                        1836.154942           1.00137957           1838.685848




Bibliography

Coursey, J. S. and Dragoset, R. A. (2000). Atomic Weights and Isotopic Compositions (version 2.2), [Online].
Available: http://physics.nist.gov/Comp [2001, March 22]. National Institute of Standards and Technology,
Gaithersburg, MD

Sandborn, M.T., Sandborn, M.D. The Unified Wave Theory, Undertone 1st Edition, Atlanta: MS Squared, 2001