Essay II A

The Particle Harmonic Formation
with comparisons atomic experimental evidence

62: Given points 14 and 15, there exists within the HETO wave four neutral energy positions. These four neutral energy positions occur at the nodes, the anti-node, and the two maximum amplitudes where charge transitions between positive and negative, and the wave motion transitions between compression and expansion (see FIG. . 

63: Given point 62, the four fundamental bonding positions of the HETO wave, in order of precedence, are the octave or node, the multiple of 3 or anti-node, the multiple of 5 or the primary amplitude, and the multiple of 7 or the secondary amplitude.

64: The secondary amplitude bonding position is inhibited by its complementary relationship to the primary amplitude bonding position which generates destructive harmonic interference.

65: The octave bonding property is limited to one bond consisting of the nodal numbers 1, 2 and 2, 4. The limitation is the result of the nullification of harmonic 7 which subsequently precludes harmonic 8.

66: FIG. 22. Given points 1-7, the multiple of 3 bonding property is limited to 3 bonds or 1, 2, 3....3, 6, 9...9, 18, 27. The limitation to 3 consecutive multiples of 3 results from the global influence of color charge or vector charge where any rotation of 3 color vectors exceeds the area of influence of the fundamental position and enters the area of influence of its complementary position.

67: FIG. 23. Given points 56-61, the fundamental harmonic wave organization is the particle alpha wave composed of 2 charged sub-particles and 2 neutral sub-particles. Given points 62-66, the fundamental organization of particle alpha waves is limited to the harmonic numbers 1, 2, 3 where 1 defines the fundamental position of one alpha wave describing the first HETO wave, and where 2 defines the first half cycle of the second HETO wave, and 3 defines the second cycle of the second HETO wave. This fundamental wave structure is defined as the vector wave because it establishes a specific color charge position based on octaves of the same color charge.

68: FIG. 24. Given points 66-67, the harmonic development of the vector wave is limited to the bonding of 3 consecutive vector waves which is defined as a vector set.

69: FIG. 25. Given points 62-68, vector sets are able to bond through the multiple of 5 or primary amplitude bonds. Given point 12, the number of vector sets capable of being consecutively bonded through the primary amplitude bond is limited to 3 due to the limitations of color charge influence. Although not clearly delineated in point 12, the influence of any number extends only to those numbers immediately surrounding it. The 4th multiple of 5 is 125 which is close to the octave 128 but not close enough to be functionally within its sphere of influence. Thus the 4th multiple of 5 places the harmonic structure outside the functional range and is therefore nullified.

70: The organization of energy is defined by and limited to the properties of the HETO wave. Subsequently, both particle and atomic formation will be defined by the organizational properties of the HETO wave as described in points 62-69. 

71: FIGs. 26,27. Given point 70,and 57 - 61, the particle alpha wave consists of two charged sub-particles and 2 neutral sub-particles and is directly compared to the atomic alpha wave consisting of 2 protons and 2 neutrons. For graphical simplicity the particle alpha wave is represented by 4 squares. The charged sub-particles are given one of the 12 fundamental colors and the neutral sub-particles are shown as white. There are 4 fundamental particle alpha wave organizations. The first is the complete alpha wave, the second is partial alpha wave consisting of 1 charged spin sub-particle and 1 completely neutral reverse spin sub-particle, the third consists of 1 charged spin sub-particle, 1 neutral spin sub-particle, and 1 completely neutral reverse spin sub-particle, the fourth consists of 2 completely neutral sub-particles.

72: Given point 61, the foundation of any harmonic structure must include an overtone and an undertone fundamental position represented by the numbers 1 and ¸ (see FIG. 28). The fundamental overtone 1 particle alpha wave is arbitrarily defined by the color vector yellow-orange. The fundamental undertone ¸ particle alpha wave is defined by the color vector blue-violet. The two fundamental alpha waves are complementary in nature and not effectively directly bondable. In order to unify these to alpha waves at least 1 neutral sub-particle is required to act as an energy interface.

73: Given points 70-72, there will exist an atomic wave containing 2 alpha waves and 1 extra neutron. The beryllium atom is composed of 2 alpha waves and achieves its greatest stability with one extra neutron. 

74: FIG. 29. Given points 62-73, the next step in harmonic development is the introduction of the octave alpha wave for both undertone and overtone positions. 

75: Given point 70, there will exist an atomic structure containing 4 alpha waves. The atomic isotope oxygen16 atom contains 4 alpha waves.

76: FIG. 30. Given points 62-74, the next step in harmonic development is the completion of the vector wave for both the overtone and undertone positions.

77: Within the vector wave the harmonic 3 anti-node must maintain a neutral stance relative to harmonic positions 1 and 2 or it will become a new fundamental position for the next vector wave. In order to maintain a neutral stance and simply act to complete the vector wave, the third harmonic position is filled with one of the various forms of the partial alpha wave (in FIG. 30, the partial alpha wave consists of a charged sub-particle and a neutral sub-particle).

78: The completion of the vector wave represents extreme stability within the HETO wave organization in that it represents completed HETO waves for both the overtone and undertone fundamentals. It also represents overall symmetry because the only two charge color vectors are yellow-orange and blue-violet which are complementary and thus symmetrical.

79: Given point 70, there will exist an atomic structure having 4 alpha waves, 2 extra protons and 2 extra neutrons, and representing extreme stability. The atomic isotope neon 20 contains 4 alpha waves and 2 extra protons and 2 extra neutrons. It is defined to be chemically inert which means extreme stability.

80: FIG. 31. Given points 62-78, the next step will be the completion of harmonic 3 as an alpha wave thus allowing it to become ‘charged’ so that it can function as the fundamental for the next vector wave (harmonics 3, 6, 9). The chemical property of this structure should be similar to the fundamental alpha wave pair in that it represents the starting position of a vector wave.

81: Given point 70, there will exist an atomic structure composed of 6 alpha waves that has the same chemical properties as beryllium which is composed of 2 alpha waves. The atomic isotope magnesium 24 is composed of 6 alpha waves and is listed as a 2A element the same as beryllium.

82: FIG. 32. Given points 62-80, the next fundamental step will be the completion of the second vector wave consisting of harmonics 3, 6, and 9 for both the overtone and undertone positions. The completion of harmonic 9 means that this structure will have the same properties as structure completed at harmonic 3 given that each is the completion of a vector wave.

83: The completion of the second vector wave skips harmonic 5 which is a lower harmonic energy position. This creates a need for harmonic 5 to be represented. In order to fill this need without causing charge interference, neutral sub-particles are placed in the overtone and undertone 5th harmonic positions.

84: The completion of the second vector wave for both the overtone and undertone positions represents a highly stable HETO wave structure. 

85: Given point 70, there will exist an atomic structure that contains 8 alpha waves, 2 extra protons, and 6 extra neutrons, and is highly stable. Atomic isotope argon 40 contains 8 alpha waves, 2 extra protons, and 6 extra neutrons and is chemically inert or extremely stable. It is also contains the same chemical properties as neon and is placed on the same 8A column on the periodic table of the elements.

86: FIG. 33. Given points 62-84, the introduction of harmonic 5 as a lower harmonic energy position means that it is the next position to be filled. Given symmetry requirements the harmonic 5 position will be completed to the same level as the harmonic 1 position. Harmonic 5 will then anchor 2 vector waves consisting of harmonics 5, 10, 15, and 15, 30, 45. The completion of 2 vector waves from the 5th harmonic position forms a highly stable HETO wave structure that has similar properties to the harmonic completions at harmonics 3 and 9. The total particles contained in this structure are 84, consisting of 36 charged particles and 48 neutral particles.

87: Given point 70, there will exist an atomic structure containing the same numbers of particles and having extreme stability and comparing to previously defined inert elements. The atomic isotope krypton 84 contains 36 protons and 48 neutrons and is chemically inert the same as argon and neon of the 8A elements. Furthermore, the formation of krypton from argon introduces what are termed the transition elements which emphasizes the relationship between the formation of 2 vector sets from harmonic 1 which are individually defined and the formation of the 2 vector sets from harmonic 5 which are taken as a group due to symmetry considerations. Furthermore, the completion of the first vector wave from harmonic 5 coincides with nickel which is considered to have similar chemical properties to the 8A elements.

88: Given points 62-86, the completion of harmonics 30 and 45 bypasses harmonic 25 which is a lower harmonic energy position and is required to be represented. In order to meet this need, neutral sub-particles are placed in the 25th harmonic position (see FIG. 33).

89: The mixture of positions between the overtones and undertones creates a grouping of 4 alpha waves that are strongly bonded together. This group of 4 alpha waves effectively represents a macro alpha wave (FIG. 34) and is defined as a quad-alpha wave. The increased stability of the quad alpha wave means that it is a preferred structure within the harmonic organization.

90: Given points 62-89, the next harmonic step is to complete two vector waves starting at harmonic 25 (FIG. 35). The completion of 2 vector waves from harmonic 25 represents an extremely stable HETO wave structure. It also regains symmetry by having 2 complete vector waves in each of the three divisions of space represented by harmonics 1, 5, and 25. The total particles contained in the structure represented in FIG. 35 is 132 consisting of 54 charged sub-particles and 78 neutral sub-particles.

91: Given point 89, and the fact that the structure exists on the harmonic spiral which means that the two ends of the structure are widely separated, the vector waves formed from harmonic 25 will not naturally form quad alpha waves. However, because the quad alpha wave is the preferred structure, the wave compensates by introducing neutral sub-particles to complete the quad alpha wave (see FIG. 36). 

92: Given point 70, there will exist an atomic structure containing 54 protons and 78 neutrons and be chemically inert and have the same properties as the structure completed at harmonic 45. The atomic isotope xenon 132 contains 54 protons and 78 neutrons and is chemically inert, having the same properties as the other 8A elements krypton, argon, and neon. Furthermore, the step from krypton to xenon includes transition elements which means that the symmetry requirement of completing 2 vector waves is perfectly described by xenon. Furthermore, because overall symmetry is achieved at xenon, the harmonic process changes as is reflected in the lanthanides.

98: Given that all possible harmonic positions are represented in FIG. 33 with only 78 charged sub-particles and 110 neutral sub-particles, there exists 7 extra neutral sub-particles that are not part of the core harmonic structure. 

99: Given points 62-98, the extra neutral waves are required to form a stable structure through bonding. Since all structural harmonic positions are accounted for the only positions left to occupy are linear meaning that the neutral sub-particles will form alpha wave mimics consisting of 2 neutral sub-particles which will then bond to each other through amplitude bonds (specifically the secondary amplitude bond defined by harmonic 7). This line of neutral sub-particles is defined as the neutral wave wire.

100: Given points 62-99, the neutral wave wire will extend from the overtone fundamental because it represents a new harmonic structure and therefore must be referenced to the fundamental energy position.

101: Given point 70, there will exist an atomic structure containing 78 protons and 117 neutrons that is chemically inert. The atomic isotope platinum 195 contains 78 protons and 117 neutrons and is effectively chemically inert. It is not listed as an 8A element but it’s structure identifies it as having similar properties. However, platinum is slightly different as defined by it’s solid state. The reason is likely the result that all the vector sets are complete which means the next harmonic process can begin. Unlike previous Nobel elements which have unfilled vector waves, platinum only has the 6 partial alpha waves at harmonics 27, 135, and 675. These incomplete alpha waves then create a new energy demand that changes the property of platinum from being completely inert to a more bondable state.

102: Given points 62-101, the totality of the structure in FIG. 38 represents a single wave structure that is nothing more than an advanced vector wave. As such, there is no need to have 6 partially completed alpha waves at harmonics 27, 135, and 675. If only one alpha wave is left incomplete then it can represent that wave property for the entire wave structure. The structure in FIG. 39 reflects this change. Undertone harmonics 27, 135, and 675 are completed as alpha waves. Overtone harmonics 27 and 135 are completed as alpha waves and overtone harmonic 675 is left incomplete. The total particles in this structure are 209 consisting of 83 charged sub-particles and 126 neutral sub-particles. We will define this structure as the proton with further evidence as to it’s identity presented in the particle energy ratio calculations.

103: Given point 102, that the structure in FIG. 39 is complete, then there is a need to represent the start of the next harmonic structure. There are multiple reasons why the 225th harmonic (or octave thereof) is designated as the start of the second harmonic structure (identified as the electron). They involve properties of charge resulting from number rotation and properties of the HETO wave in terms of how the proton and electron will relate to each other. However, in this essay the number 225 or it’s octaves is identified and left undefined. The only evidence as to it’s validity results from the accurate energy ratio calculations which , given all the other points, suggest that this number is correct.

104: Given point 70, there will exist an atomic structure that contains 83 protons and 126 neutrons and has some property that identifies it as being the end of an harmonic process. The atomic isotope bismuth 209 consists of 83 protons and 126 neutrons and is the last of the stable elements given that all the known elements beyond bismuth are radioactive.

105: Given points 62-104, the start of the electron or second harmonic structure defines a new harmonic process that will begin with an incomplete alpha wave (see FIG. 40). In order to achieve stability at this incomplete stage, the proton keeps it’s 675th overtone harmonic incomplete so that the two structures achieve a kind of symmetry. The structure in FIG. 40 contains 209 sub-particles consisting of 84 charged sub-particles and 125 neutral sub-particles.