A GFT Caley -Dickson Interpretation of the Periodic Chart
There are a myriad of periodic charts available for the today’s scientists to chose from, each chart having its own
unique layout and conceptual advantages and disadvantages. We have found one chart that suits our needs
particularly well. It is the Janet Left Step periodic chart. There is no better example of a periodic chart that
combines both graphically and conceptually the interrelationships between chemical function, electronic
configuration, and periodicity of the elements. Electronic configuration is charted simply by beginning at an Ns1
orbital and proceeding counterclockwise through the series of elements ending at an Np6 orbital. This
counterclockwise circumnavigation defines a period. We shall rely heavily upon the Janet Left Step periodic
chart in establishing the GFT basis of periodicity of the GFT quarks. The Janet Left Step periodic chart is
perfectly acceptable and serviceable as it stands. We shall now expand it to reflect the existence and function
of some of our most basic GFT quarks.
Quantum mechanically, in regards to a typical periodic chart, a block characterizes a particular atomic orbital. The
name of the blocks (s, p, d, f, and g) stems from the quality of the spectroscopic lines of the associated atomic
orbitals: sharp, principal, diffuse, fundamental, etc. Gyrodynamically we see the p block as representing the family of
elements engaging in pure tovacian interactions. It is the αβ = sinθ block. The s block is the block of scalars, the
αβ = cosθ block. All such interactions are represented by the interactions of the electrium or their analogues.
Orbitals are the most stable curvilinear structure for a particular block. Blocks also represent levels of precession.
Each level represents a less stable structure but higher degrees of precession. The Pauli exclusion principle is a
direct result of maximization of curvilinear structure and the tovacian binding of electrium. The above figure is the
GFT expanded version of the fractional Janet Left Step periodic chart(FJLPC).
To construct the family of elements and preserve the ordering of the Janet Left Step periodic chart we begin at the
ground state 0s1. This differs significantly from conventional interpretations. The 1s1 orbital is normally considered
as being the lowest energy ground state. The GFT starts at zero. Starting at the origin of our Cartesian axes the
lowest ground state is zero. It is the most stable of all orbitals. At 0s1 we tovacian interact an electra and its
conjugate forming a neutral bo or bo neutrino. At 0s2 we form the ε electron or electron neutrino. The 0p1-6 orbitals
are reserved for the tovacian interaction of the 6 pairs of electrimum which form a photon. What becomes clear
is that the fractional s orbitals represent the scalar summation of neutrinos and the p orbitals represent the tovacian summations of versors.
Having formed 0s1-2 and 0p1-6 we now form .25s1-2 and .25p1-6. These orbitals fill as a result of the ε electron
(electron neutrino), operating as a unit versor. We essentially interact electros, impeti, and their conjugates.
To fill these orbitals we simply replace the electrium of Figure 31.20 with their doubles, i.e., electra are converted
to electros and electrai are converted to impeti. At .25s1 we form a neutral
electron. At .25s2 we form a double electron neutrino. The neutral electron and the ε electron are equivalent but
different. Both are electron neutrinos but they differ in their construction. The neutral electron is the result of the
tovacian sum of an electro and its conjugate. The ε electron is the result of both the tovacian sum of an electro
and an impeti and the summation of a bo and its conjugate.
The orbitals .25p1-2 form the charged proton, at .25p3-4 we form a neutral double electron or a double electron
neutrino, and at .25p5-6 we form the charged electron. The tovacian sum of these three particles, summing along the
tangent, form a neutron.
Having formed the photon and neutron we may now form deuterium . At the .5s1 we form a protium neutrino consisting
of the tovacian sum of 2 electron neutrinos.. At .5s2 we form a type of interfacial protium as a neutrino consisting of
4 electron neutrinos. If having a nucleus defines a particle as being an element then interfacial protium is not an
element. It is a particle. In fact its versor equivalent is a neutral alpha particle. At .5p1-2,.5p3-4, and .5p5-6 we tovacian
interact the proton, neutron, and electron yielding deuterium. This indicates that there are both scalar and versor forms
of deuterium. Having formed deuterium we are free to tovacian interact scalar deuterium with versor deuterium via
αβ = −cos θ +sin θ. We may begin at orbital .75s1, forming once again the 4 electron neutrino particle and at
.75s2 an 8 electron neutrino particle. Note however that along the tangent we form either a dimer of deuterium or an
atom of helium. It is within the components of these two forms of hydrogen that the broad range of hydrogen is
manifest. Thus we may combine the two sets of orbitals, .5s1-.75p6, producing a quasi-degeneracy between the
two. Note also that the quaternions and reals are the same except for opposite sign thus signifying conjugates.
The reals will produce conjugates of the quaternions, thus these two sets of orbitals, in terms of energy absorbance
or release, are degenerate. It is this quasi-degeneracy of orbitals that is the definitive reason for the wide range of electronegativites exhibited by hydrogen. If for instance an electropostive hydrogen ion is produced by the
quaternions an equal but opposite in spin electronegative conjugate is formed by the reals, thus the existence of
the hydride ion, H−. If such is the case for each proton ion produced we produce a hydride ion. For each electron
ion produced we produce its conjugate. Therefore at .5p1 we form a type of protium comprised of a proton and
an hydride ion, H+H−. Again, the hydride ion is not an electron but the conjugate of the proton. This particular
form of protium would be electropositive. To this we may add a neutron forming a type of electropositive
deuterium at orbital .5p2. At orbital .5p4 we form the conjugate of .5p1 yielding H−H+. This form would be
electronegative. To this we may also add a neutron which forms the conjugate of .5p2. This electronegative
form of deuterium we place in orbital .5p3. The addition of the neutron makes this form less electronegative
than H−H+ but more electronegative than its conjugate at .5p2 thus its placement in orbital .5p3.
Traditionally hydrogen, electropositive H (H+), has been listed as a Group 1 element, above Li. But its chemical
behavior is such that it also forms hydrides. As such it should occupy an appropriate position within the periodic
chart that characterizes its electronegativity. This placement would have electronegative H, (∗H−), listed as a
Group 17 element, above F.
Hydrogen also displays intermediate electronegativity where H, (∗H±), should be listed as ranging
between H+ and ∗H− spanning below the elements B,C,N, O, and F respectively.
The sum of the particles comprising the tangent may be interpreted as either two conjugates of deuterium or as two
conjugates of helium. The electronegative expression of this particular form of deuterium we place in orbital.5p5 and
the electronegative expression of helium we place in orbital .5p6. The electropositive expression of deuterium we
place in orbital 1s, the traditional starting point in most conventional periodic charts. We place the electropositive
expression of helium in orbital 1s2. Lastly He at 1s2 represents the final exportation of the 16 basis unit quaternions
from the sedenion based pmf, i.e., He= 2(8x electron neutrino).This completes our addendum to the Janet left-step
periodic chart.
Looking at our FJLPC several features are made apparent.
• The p orbitals represent the tangents .
• The s orbitals (0-1) represent the exported sedenion as scalar.
• The p orbitals (0-1) represent the exported sedenion as versor.
• 16 sedenions are exported, ending with their aggregation as He or H dimer.
• The electron (neutral) may be represented by a confluence of two quarks, i.e., two bo neutrinos in the s orbital.
• The electron may be represented by a confluence of two quarks, i.e., the GFT up quark and the GFT down quark.
• The electron can be represented by a confluence of three quarks, i.e., three GFT down quarks.
• Neutrinos form the basic building blocks of matter.
• the most basic of all neutrinos is the bo neutrino
• the most basic of versors is a photon/electron. Note that the photon and electron are equivalent at this level.
• The FJLPC is a Caley-Dickson constuction of quarks and the formation of elements from these quarks.
It has been stated that bonding is the ability of the valence electron to evolute the proton. Ionization is the ability
of the proton to form its involute. Trigonometrically, bonding is the ability of the valence electron to diminish the excsc
and maximize the exsec. A positive excsc represents the ionization energy. A negative excsc or positive exsec
represents bond strength. Given the position of HeI in our periodic chart its cation state will be extremely
electronegative. This is equivalent to maximization of the exsec thus the proton is evoluted, being pushed back
into the nucleus and forming a strong bond. From a tovacian point of view the HeI and the noble gases are inert
because their cations are highly electronegative and their bonding is strictly tovacian (Np6), one of the most stable
form of chemical bonding because of the triple point tovacian bonding. We know they participate in strict tovacian
bonding because this is a unique feature of the p orbitals. HeII is just the opposite. Given its position its cation is
extremely electropositive and it bonds in the most unstable of states, as a scalar in the s orbital. Its store of excsc
is nearly maximized. Therefore it will be extremely unstable. A bo formed within the nucleus at ground level is not
just formed within the primordial magnetic field. It is formed of the primordial magnetic field. This bo must necessarily
act as magnetic dipole. It is the tovacian sum of an electra and an electrai which confers upon each magnetic
monopole status. But they cannot exist individually no more than i/(2√2) can exist individually from 1/(2√2 ) when
forming √i. The bo is nature’s way of ensuring that the pairing of i/(2√2) as an electrai monopole and 1/( 2√2) as
an electra monopole will always be faithfully combined as a dipole. Gauss’s law states this mathematically.
We establish it quaternionically. There can be no magnetic monopoles. This is dictated by √i. Lastly, in using a
trigonometric scheme of particle formation we confirm the GFT contention that it is the neutron, as pedal, that
supplies all the needed information to the parent atom, its incumbent nucleons and to its prospective molecular
partner. It is the nerve center of the atom. We also realize that in constructing our periodic chart the quantum
mechanical orbitals are no more than trigonometric functions interacting amongst one another via Euler’s equation
where trigonometric functions are just an alternate form of quaternionic functions. These functions are not
representations of probability waves. They are real, tangible, measurable, predictable, trigonometric functions
descriptive of the interactions of quaternions, spinors, bos, and GFT up and down quarks. They are the precise
trigonometric coordinates of location and function. Probability and statics may well be utilized in establishing the
architecture of the curvilinear structures known as orbitals. But the particles and elements constrained to follow the
paths formed of these structures are not guided to do so by probability waves. They are not pushed along on the
orbital “rails” of space-time by these probability waves. Their paths are simply space centrodes along which the
elements, as body centrodes, are constrained to always roll
tangent to, fueled by the power of √i.
There are a myriad of periodic charts available for the today’s scientists to chose from, each chart having its own
unique layout and conceptual advantages and disadvantages. We have found one chart that suits our needs
particularly well. It is the Janet Left Step periodic chart. There is no better example of a periodic chart that
combines both graphically and conceptually the interrelationships between chemical function, electronic
configuration, and periodicity of the elements. Electronic configuration is charted simply by beginning at an Ns1
orbital and proceeding counterclockwise through the series of elements ending at an Np6 orbital. This
counterclockwise circumnavigation defines a period. We shall rely heavily upon the Janet Left Step periodic
chart in establishing the GFT basis of periodicity of the GFT quarks. The Janet Left Step periodic chart is
perfectly acceptable and serviceable as it stands. We shall now expand it to reflect the existence and function
of some of our most basic GFT quarks.
Quantum mechanically, in regards to a typical periodic chart, a block characterizes a particular atomic orbital. The
name of the blocks (s, p, d, f, and g) stems from the quality of the spectroscopic lines of the associated atomic
orbitals: sharp, principal, diffuse, fundamental, etc. Gyrodynamically we see the p block as representing the family of
elements engaging in pure tovacian interactions. It is the αβ = sinθ block. The s block is the block of scalars, the
αβ = cosθ block. All such interactions are represented by the interactions of the electrium or their analogues.
Orbitals are the most stable curvilinear structure for a particular block. Blocks also represent levels of precession.
Each level represents a less stable structure but higher degrees of precession. The Pauli exclusion principle is a
direct result of maximization of curvilinear structure and the tovacian binding of electrium. The above figure is the
GFT expanded version of the fractional Janet Left Step periodic chart(FJLPC).
To construct the family of elements and preserve the ordering of the Janet Left Step periodic chart we begin at the
ground state 0s1. This differs significantly from conventional interpretations. The 1s1 orbital is normally considered
as being the lowest energy ground state. The GFT starts at zero. Starting at the origin of our Cartesian axes the
lowest ground state is zero. It is the most stable of all orbitals. At 0s1 we tovacian interact an electra and its
conjugate forming a neutral bo or bo neutrino. At 0s2 we form the ε electron or electron neutrino. The 0p1-6 orbitals
are reserved for the tovacian interaction of the 6 pairs of electrimum which form a photon. What becomes clear
is that the fractional s orbitals represent the scalar summation of neutrinos and the p orbitals represent the tovacian summations of versors.
Having formed 0s1-2 and 0p1-6 we now form .25s1-2 and .25p1-6. These orbitals fill as a result of the ε electron
(electron neutrino), operating as a unit versor. We essentially interact electros, impeti, and their conjugates.
To fill these orbitals we simply replace the electrium of Figure 31.20 with their doubles, i.e., electra are converted
to electros and electrai are converted to impeti. At .25s1 we form a neutral
electron. At .25s2 we form a double electron neutrino. The neutral electron and the ε electron are equivalent but
different. Both are electron neutrinos but they differ in their construction. The neutral electron is the result of the
tovacian sum of an electro and its conjugate. The ε electron is the result of both the tovacian sum of an electro
and an impeti and the summation of a bo and its conjugate.
The orbitals .25p1-2 form the charged proton, at .25p3-4 we form a neutral double electron or a double electron
neutrino, and at .25p5-6 we form the charged electron. The tovacian sum of these three particles, summing along the
tangent, form a neutron.
Having formed the photon and neutron we may now form deuterium . At the .5s1 we form a protium neutrino consisting
of the tovacian sum of 2 electron neutrinos.. At .5s2 we form a type of interfacial protium as a neutrino consisting of
4 electron neutrinos. If having a nucleus defines a particle as being an element then interfacial protium is not an
element. It is a particle. In fact its versor equivalent is a neutral alpha particle. At .5p1-2,.5p3-4, and .5p5-6 we tovacian
interact the proton, neutron, and electron yielding deuterium. This indicates that there are both scalar and versor forms
of deuterium. Having formed deuterium we are free to tovacian interact scalar deuterium with versor deuterium via
αβ = −cos θ +sin θ. We may begin at orbital .75s1, forming once again the 4 electron neutrino particle and at
.75s2 an 8 electron neutrino particle. Note however that along the tangent we form either a dimer of deuterium or an
atom of helium. It is within the components of these two forms of hydrogen that the broad range of hydrogen is
manifest. Thus we may combine the two sets of orbitals, .5s1-.75p6, producing a quasi-degeneracy between the
two. Note also that the quaternions and reals are the same except for opposite sign thus signifying conjugates.
The reals will produce conjugates of the quaternions, thus these two sets of orbitals, in terms of energy absorbance
or release, are degenerate. It is this quasi-degeneracy of orbitals that is the definitive reason for the wide range of electronegativites exhibited by hydrogen. If for instance an electropostive hydrogen ion is produced by the
quaternions an equal but opposite in spin electronegative conjugate is formed by the reals, thus the existence of
the hydride ion, H−. If such is the case for each proton ion produced we produce a hydride ion. For each electron
ion produced we produce its conjugate. Therefore at .5p1 we form a type of protium comprised of a proton and
an hydride ion, H+H−. Again, the hydride ion is not an electron but the conjugate of the proton. This particular
form of protium would be electropositive. To this we may add a neutron forming a type of electropositive
deuterium at orbital .5p2. At orbital .5p4 we form the conjugate of .5p1 yielding H−H+. This form would be
electronegative. To this we may also add a neutron which forms the conjugate of .5p2. This electronegative
form of deuterium we place in orbital .5p3. The addition of the neutron makes this form less electronegative
than H−H+ but more electronegative than its conjugate at .5p2 thus its placement in orbital .5p3.
Traditionally hydrogen, electropositive H (H+), has been listed as a Group 1 element, above Li. But its chemical
behavior is such that it also forms hydrides. As such it should occupy an appropriate position within the periodic
chart that characterizes its electronegativity. This placement would have electronegative H, (∗H−), listed as a
Group 17 element, above F.
Hydrogen also displays intermediate electronegativity where H, (∗H±), should be listed as ranging
between H+ and ∗H− spanning below the elements B,C,N, O, and F respectively.
The sum of the particles comprising the tangent may be interpreted as either two conjugates of deuterium or as two
conjugates of helium. The electronegative expression of this particular form of deuterium we place in orbital.5p5 and
the electronegative expression of helium we place in orbital .5p6. The electropositive expression of deuterium we
place in orbital 1s, the traditional starting point in most conventional periodic charts. We place the electropositive
expression of helium in orbital 1s2. Lastly He at 1s2 represents the final exportation of the 16 basis unit quaternions
from the sedenion based pmf, i.e., He= 2(8x electron neutrino).This completes our addendum to the Janet left-step
periodic chart.
Looking at our FJLPC several features are made apparent.
• The p orbitals represent the tangents .
• The s orbitals (0-1) represent the exported sedenion as scalar.
• The p orbitals (0-1) represent the exported sedenion as versor.
• 16 sedenions are exported, ending with their aggregation as He or H dimer.
• The electron (neutral) may be represented by a confluence of two quarks, i.e., two bo neutrinos in the s orbital.
• The electron may be represented by a confluence of two quarks, i.e., the GFT up quark and the GFT down quark.
• The electron can be represented by a confluence of three quarks, i.e., three GFT down quarks.
• Neutrinos form the basic building blocks of matter.
• the most basic of all neutrinos is the bo neutrino
• the most basic of versors is a photon/electron. Note that the photon and electron are equivalent at this level.
• The FJLPC is a Caley-Dickson constuction of quarks and the formation of elements from these quarks.
It has been stated that bonding is the ability of the valence electron to evolute the proton. Ionization is the ability
of the proton to form its involute. Trigonometrically, bonding is the ability of the valence electron to diminish the excsc
and maximize the exsec. A positive excsc represents the ionization energy. A negative excsc or positive exsec
represents bond strength. Given the position of HeI in our periodic chart its cation state will be extremely
electronegative. This is equivalent to maximization of the exsec thus the proton is evoluted, being pushed back
into the nucleus and forming a strong bond. From a tovacian point of view the HeI and the noble gases are inert
because their cations are highly electronegative and their bonding is strictly tovacian (Np6), one of the most stable
form of chemical bonding because of the triple point tovacian bonding. We know they participate in strict tovacian
bonding because this is a unique feature of the p orbitals. HeII is just the opposite. Given its position its cation is
extremely electropositive and it bonds in the most unstable of states, as a scalar in the s orbital. Its store of excsc
is nearly maximized. Therefore it will be extremely unstable. A bo formed within the nucleus at ground level is not
just formed within the primordial magnetic field. It is formed of the primordial magnetic field. This bo must necessarily
act as magnetic dipole. It is the tovacian sum of an electra and an electrai which confers upon each magnetic
monopole status. But they cannot exist individually no more than i/(2√2) can exist individually from 1/(2√2 ) when
forming √i. The bo is nature’s way of ensuring that the pairing of i/(2√2) as an electrai monopole and 1/( 2√2) as
an electra monopole will always be faithfully combined as a dipole. Gauss’s law states this mathematically.
We establish it quaternionically. There can be no magnetic monopoles. This is dictated by √i. Lastly, in using a
trigonometric scheme of particle formation we confirm the GFT contention that it is the neutron, as pedal, that
supplies all the needed information to the parent atom, its incumbent nucleons and to its prospective molecular
partner. It is the nerve center of the atom. We also realize that in constructing our periodic chart the quantum
mechanical orbitals are no more than trigonometric functions interacting amongst one another via Euler’s equation
where trigonometric functions are just an alternate form of quaternionic functions. These functions are not
representations of probability waves. They are real, tangible, measurable, predictable, trigonometric functions
descriptive of the interactions of quaternions, spinors, bos, and GFT up and down quarks. They are the precise
trigonometric coordinates of location and function. Probability and statics may well be utilized in establishing the
architecture of the curvilinear structures known as orbitals. But the particles and elements constrained to follow the
paths formed of these structures are not guided to do so by probability waves. They are not pushed along on the
orbital “rails” of space-time by these probability waves. Their paths are simply space centrodes along which the
elements, as body centrodes, are constrained to always roll
tangent to, fueled by the power of √i.
