__Crystallographic
Propulsion Theory__

There ia a coupling Hamiltonian that can be used for small velocities of the phonons across the surface of the crystal, for small thermal energy that keeps the material in normal phase below the band gap (i.e., where the temperature falls below the critical temperature), in a super-conducting state:

where **b**_{q}
and **b**^{+}_{-q
}are surface phonon creation and annihilation operators
related 1:1 to the *(ref. link) *orbital
angular momentum values of **m** = +,- l, by
creating the phonon/boson with integer (polarized) spin
disturbance, which travels at the speed of sound within the
aligned magnetized spin vector medium of Bi89, transmitting the
far-field component for the Pb88 magneton hypertranslation into
the direction of the applied para-positronium probe beam, which
induces a repolarization while * reversing* the
precession frequency of the proton or electron, by using the
superconducting, counterrotating disk/tube arrangement.

The electron force in a bound
Fermionic state of the Hamiltonian, in terms of the electron
density correlator (* r*_{q} (t)*
r*_{-q} (0) )_{0 }becomes

The quaternion that is an
expression for both electrostatic (longitudinal) and
electrodynamic (transverse) forces between parallel conducting
elements forms the basis for designing the *hull of an FTL
vehicle itself as a Fermi surface*, *with the Fermi
surface itself as a constant energy surface in k-space, *where
"k" comes from the empirically determined equation of
state for an idea of gas. Different values of k can be measured
for different values of pressure and volume, as in PV = nKT, and
where the translational kinetic energy of the molecules in a
crystal are related to the temperature of the "carrier"
or "quantum gas": 1/2 mv_{-}^2 = 3/2 KT. Thus
we have a Fermi surface, which is a spherical surface that can
have a radius of "k" in "k-space", that
contains the occupied one-electron levels inside the k-sphere,
and separates these occupied levels from the unoccupied ones.
"k" is further used in defining the 1-dimensional
normalized distribution function of the velocity component for
the Maxwell-Boltzman Velocity Distribution

and in the density of states for a
cubic lattice between points of p/L spacing, thus the volume
in the cubic lattice per point is (p/L)^{3} with density
(L/p)^{3}.

If we look closer at how the quadrupolarized
probe beam affects the entropy and randomness of the system, we
can see that the relaxation time for the crystal, if pulsed
within the relaxation time, changes the identity of molecules for
apriori equal probable states equal to S_{1}+S_{2}=S_{total}
= W_{delta
E} where each occupation number n_{i} represents the
sum of ways to choose g_{i} levels of occupation states.
The sum for each of these branches are equal to:

n_{i} = - g_{i}
/ (exp^{b}^{(}^{e}^{i - m}^{)}
**-** 1)

Notice that with low
self-inductance and high permittivity, the value of the exponent
"exp" is significantly increased in order to decrease
the transverse wave by stretching the "*phonon container
object*", or the stretched and orthogonalized phase
conjugated wave of the transverse ortho-polarized proton or
electron. If one of the branches assumes the value for
k-shadowing, e.g. S_{1}=k_{1}' ln W_{delta E}_{1} , S_{2}=k_{2}^{'}
ln W_{delta
E}_{2} ,
etc., for S_{total} = f (W_{delta E}_{1}, W_{delta E}_{2}, W_{delta E}_{N}) where k' is the
Boltzmann constant, equal to delta [ E_{1} + delta E_{2}
+ delta E_{3} + ... delta E_{n} ] **/ **N
T ln [n1_{delta En} **/** n2_{delta En}]
where n = individual delta E state, N = total n's for change in
energy delta E states, n1 = # particles in state 1, and n2 = #
particles in state 2, THEN only the individual delta E state that
may or may not be unique for the remaining FTL occupants, and
acts in reference to the "owner" of the pilot wave. *Every
other* pilot wave represents an individual delta E state
through a single branch of quantum probabilities in the 4-space
continuum. The *pilot wave* represents the bosonic
exchange between the near and far-field components of the 4-space
continuum. "*Every other*" means that the pilot
wave is either "on" or "off". When the pilot
wave is "off" the wave state for ortho-positronium is
either ODD or EVEN, involving the proton or electron
MAGNETOMOTIVELY.

During the pulsing with
ortho-positronium, the Fermi-Dirac "gas" or
"ambipolarized medium" for some energy state with uni-
or bipolar (yes/no) representation state between a minimum of two
occupants. The yes/no state depends upon which direction,
ascendency or descendency, that the "phi of
propogation" moves into - the increase or decrease of an
interval representing 1/5 in music subjectively - the musical
scale interval of 1.667 is close enough to the golden mean ratio,
1.618, that it represents the sacred proportion of growth and
self-organization for the memory of these transitions to continue
in the state of uni- (yes/yes, no/no) or bipolar (yes/no)
representation. The states of consciousness that are being
induced here represent the BLM's (Behavioral Log Manifests),
forming subjective experiences *from an objective nature*.
Natural selection assumes the path of consciousness that is
neither sterile nor futile. The temporal negation of this
worldline for the sake of 4-space hopping is to raise the spectre
of parallel universe theory, justified by the fidelity that
should eventually invalidate the antiquated method of
interplanetary propulsion for the purpose of interstellar
exploration.

The g_{i} objects
represent the active containers for the n_{i} subjects,
with the number of ways to to choose the subjectivities within
the available g_{i} object containers depends upon each
energy state in terms of its level of *Sierpinski fractal
nesting *(ref. *2*).. The level of nesting equals the
number of ways to choose the n_{i}'s *active/passive*
subjectivities out of each g_{i}'s *active*
container objects. The basis for forming the active g_{i}
object container is to calculate from one of the aforementioned
"branches" that assumed the k-shadowing for that
particular branch's value of the *Boltzmann constant* for *All
Sets of Numbers* (ASN) over the summation:

The solution for the total g_{i}'s
for change in the delta E states is equal to

**-** [ delta g_{i1} + delta g_{i2} + delta g_{i3}
+ delta g_{i4} + ... g_{in} ] / [ N exp ^{b(e}^{i - }^{m)}* *+ 1 ]

where i_{1}, i_{2},
i_{3}, i_{4}, ... i_{n} represents the
level of nesting for each of the g_{i}'s active container
object, and N is equal to the average level of nesting, rounded
off to the nearest whole number. "N" may also be
described as the sum of each and every level number of nesting,
divided by the number of g_{i}'s. *b,**e*_{i}* ,** *and *m *are the* gravitational vector acceleration
directional cosine w.r.t. y-axis, *or the *deviatoric
stress tensor, *or the *phase tensor (**b)**, **e**i*
is equal to the permittivity measured in farad/meter or amp *
second, and *m *is the self-inductance, measured in henries/meter. The
solution for each occupation number n_{i} represents the
sum of ways to choose g_{i} levels of occupation states.
The sum for each of these branches are equal to:

n_{i} = - g_{i}
/ (exp ^{b}^{(}^{e}^{i - m}^{)}
**+** 1)

Notice that with high
self-inductance and low permittivity, the value of the exponent
"exp" is significantly reduced in order to *volumize
or increase* the "*container object*", *in
order to accomodate the pre-stretched dilation of the
orthogonalized, phase conjugated wave* of the transverse
ortho-polarized proton or electron. As we approach a Wigner type
crystal in the ground state (zero temperature), the natural shape
of a polarized field for navigating 4-space becomes a similarly
dilated one, traveling between worldlines, similar to the outline
of forcelines between two parallel conductors:

**l**^{2} becomes the mean square
electron displacement from the lattice at zero temperature, as
the area of the irradiated face plane "S" in the F(v)
equation (near top of page) approaches infinity. The face plane
of interest is the same as the plane of ionic displacement
indicated by the top arrow in the above diagram. Anyone
interested in further digression into the Wigner crystal dynamic
for this system is urged to contact the author *samuel_ransom@hotmail.com*

Fermionic degrees of freedom
correspond to the degrees of freedom of the ordinary quantum
field theories and include actually all ordinary matter since
also bosons can be regarded as bound states of fermions and
antifermions in the topological geometrodynamic framework.
Mathematically center of mass and 'vibrational' degrees of
freedom correspond to the coset space G/H, where G is the group
of canonical transformations of lightcone boundary [1]. The
enclosed area within the circular section above represents such a
bound state of fermions, which has a radius of "k" in
"k-space", containing the occupied one-electron levels
inside the k-sphere, and separating these occupied levels from
the unoccupied ones. The contained frequencies represent the
deltronic wavelengths of orthogonalized
"ortho-polarizations". This represents the action
behind our "Fermionic containers" in the yes/no wave
states of passive and bipolar Sierpinski fractalizations. Such is
the treatment of the Fermi-Dirac "gas" in the*
transverse mode*, as compared to the Bose Einstein gas in the
*longitudinal mode*.

Thus the boundary of the Fermionic
sphere represents a future null cone from the hypersurface
positive pole with the space-time compression of ion(+) motion
indicated by the arrow, and the corresponding instantaneous *depth-of-perception
rotational component during maximum induction (induction from the
counterrotating disk/tube) for pole spin precession in the
direction of ionic motion, as *__indicated by the bottom
arrow__*.* Even though the ions precess at tardyon
velocity, the k-shadows, under the influence of their fluorescing
quantum dots, resist the field absorbing Cherenkov luminations in
the *near field*, as electromagnetic repulsion in the *far
field* displaces the tardyonic ellipsoid *tachyonically
through 4-space*, as single monopoles trapped by an
"exciter" medium get "trapped" by the action
of radiant positronium subsummation bombardment.

[1] Self and Binding, Matti
Pitkänen, August,6, 1999, Department of Physics, Theoretical
Physics Division, P.O. Box 9 Fin-00014, University of Helsinki,
Finland email: *matpitka@rock.helsinki.fi** *

[2] Each of the corners of the Bi89 FCC "face", which is the plane of polarization symmetry, represents the magnitude of the 4-space (vertical axis) and phase length (horizontal axis), for the two corners above and the two corners below the rotational axis, or axis of symmetry. If one were to extend this centroidal axis of symmetry to the right, one would divide the face centered lattice of the adjacent Pb88 rhombohedral into two equal Sierpinski gaskets, one gasket above (representing the positive pole), and one below (representing the negative pole), with both gaskets meeting at the "horizon" of phase resolution, or axis of symmetry:

The programmed "horizon of
primes" is where a specially designed bosonic filter acts to
separate the bosonic exchanges from the deltronic ones, by using
the properties of BLM "LC nesting" or the continued
fractalization of pole zero frequencies, which have become the
"primes" for nesting the Sierpinski fractalizations.
The lower Sierpinski gasket represents the "sister" or
negative pole of the far field component to the upper,
"positive" pole in the near field, see *spacetime_geodesics.htm*. Subatomic particles such as the electron, proton, and
neutron all have g-factors that quantify as aether units of
momentum. In fact, it has been suggested that the g-factors are
equal to spiraling cardioids, that spin through the cardioid
unit, which quantifies as:g_{e}=2/sin(phi) for the
electron, g_{p} = 2 Phi / sin(phi) for the proton, and g_{n}
= 2sin(1)sin(phi)/[Phi(-sin(Phi)*cos(Phi)^{2}+sin(1)-sin(1)*cos(Phi)^{2}
for the neutron. The values of Phi's (note the capital
"P") in each one of these equations can be proven by
substitution in the Pythagorean formula for c and a in terms of
b: sqrt(b^2 + (b^2/2)) + b/2 = Phi. The definition of a Phi
triangle states that when side b = unit length = 1, then c + a =
Phi, and c - a = phi. (Note the capital "P" and small
"p"). Using b = 1, the formula for Phi is solved by
sqrt(1 + (1/4)) + 1/2 = Phi, 1.118 + 0.5 = 1.618 = Phi, and phi =
(c - a) = sqrt(1 + (1/4)) - a = 1.118 - 0.5 = 0.618.

The wave states for both para- and
ortho- positronium is even under interchange of momenta and *odd*
or

For the resonant electron part of
positronium, g_{e}=2/sin(phi) represents the space
symmetric wave function that hypertranslates bosonically, w.r.t.
the above definition for bosons. It is known that in the HyperDiamond Feynman Checkerboard
version of the D4-D5-E6 model, spin-2 physical gravitons are made
up of the spin-1 gauge bosons of the 10-dimensional Spin(5) de
Sitter subgroup of the 15-dimensional Spin(6) Conformal group
used to construct Einstein-Hilbert gravity in the D4-D5-E6
model. Using the resonant electron part that translates
bosonically, the gauge transformation transforms from a real
scalar field, as the gauge symmetry remains connected along with
a degaussed resonance of the value for vacuum expectation. We can
reasonably assume by what means we would prefer a scalar
infolding to occur. The Sierpinski "gasket" assumes the
near-centroid of the electron's g-factor:

The red outlined
triangular area represents the interface between upper and lower
Sierpinski gaskets, as shown in the diagram for the rhombohedral
dilation plane. This represents the only position for the gasket
that is furthest away from the cusp at the zero point, but is
still contained within the fractal envelope. We can associate the
above values contained within the boundary envelope of
f(z)=1-cos(z) for all e^{it} in the rotation matrix, and
use for which is explained in Part II of AN INDEPENDENT, MANIFOLD
BASIS FOR THE FRACTAL AETHER, for determining, according to the
expression used above, (e^it)/2 - ((e^it)/2)^2, for establishing
the boundaries of the fractal envelope, esp. for the resonant electron part of positronium, that performs the
bosonic transfer during the 4-space hypertranslation. The larger
triangle that is superimposed over the Sierpinski gasket can be
divided into two equal right triangles, with the right and left
legs equal to length b, of unit length, 'a' equal to the vertical
leg, and side 'c' (on both sides, equal to the hypotenuse, as
mentioned earlier. Side 'b' is twice side 'a', which we can call
a 'phi' triangle. The two bottom corners of the gasket can be
located at the intersection of the 120^{o} and 240^{o}
axes with each 'c' side. The ratios can then be calculated for
the Sierpinski gasket, as well as the vertex location and
centroid (This centroid is not the same centroid as the isoceles
triangle part of the cardioid).

Each "side" of the
Sierpinski triangle acts as a phasor of altitude, latitude, and
longitude that are synchronous with the three spin values of an
electron that are in turn related to polarization in the x, y,
and z directions (in Cartesian coordinates for the digital
representation), and r, q, and f in polar coordinates for the analogue representation.
Since in diamagnetic materials such as bismuth, the electron spin
moments dominate, so that the electromagnetic fields opposing an
externally applied field ('externally' meaning e.g. earth's *magnetic
field*), produce a *diamagnetic effect for the ions of the
crystal*. This is represented by the dipole moment of the
material, or magnetic polarization, measured in amps/meter. Note
that polarization represents a net alignment of the magnetic
dipoles within the crystal. These dipoles contain bound current
charges, which add to a bound current density. This bound current
density happens to be *many millions of times denser* than
that imposed by earth's ground/ionosphere. Since **l**^{2}
becomes the mean square electron displacement from the lattice at
zero temperature, l^{14} represents the continued fractalizations
of *subsumed mean squares* of l_{alpha}^{2}
l_{theta}^{2}
l_{delta}^{2}
l_{beta}^{2}
l_{gamma}^{2}
l_{sigma}^{2}
l_{pain_wave}^{2}
for 78557, or the smallest Sierpinski number with a 7-fold
covering set of {3, 5, 7, 13, 19, 37, 73}, representing a *datum*
for one whole single state of consciousness. *These are
programmed states of virtual consciousness using tetrahedral
field windings to produce the D/A computer driven field patterns*.

These patterns represent some particular frequency, wavelength, or combination thereof, that acts as either the icon, index, or symbol, in terms of its negative impact on the conscious or conscious threshold attachment. What is the "attachment"? The "attachment" is what is being also "separated" from some analytic, existential, or emotional state of being. The identified negative impacts on these semeiotic sings that have been identified are set as infolded and subsumed mean squares of the aforementioned Sierpinski fractalizations that use mind-control programs in order to backwards-mask the pilot wave. The memory core(s) for these pilot waves are programmed for the subsumed mean squares from the 256 elementary cellular automata, which have an assortment of rules governing their behavior in their application to the allophonemic sequences.

The pink allophonemic pulses consist of the 2 x 128 = 256 possible combinations of allophonemic pink noise frequencies that are used to triangulate the phase lock on the pilot wave, or the type 1 biophysical-semeiotic sing. The allophonemics are recorded from natural intonations, and processed with pink noise before being synthesized with the upper and lower sidebands.

Since each quaternion represents one term in the power series expansion, with each quaternion representing four terms or less (denoting any combination of time, phase, amplitude, and wavelength), we have the etheric vibration of 2 pairs of allophonemics (from a list of 128! possible combinations) which can have 4 x 3 x 2 x 1 = 24 possible arrangements for each quaternion term, for every quaternion term in the expansion, with each pair of allophonemics posing as an etheric identifier with their respective basin lobe border. How does a particular sequence of allophonemics identify with each quaternion? Characteristics of the strange attractor include choosing an unseen or unrealized driver, such as wavelength, to represent the etheric puller for the rest of the quaternion terms. With periodicity represented as the filtered phase modulated beat frequency, e.g. as the ratio of two successive numbers in the Fibonacci sequence, there are only two terms in the quaternion left that are unresolved: phase and amplitude. Now we have a perfect mirror of inward (phase) or outward (amplitude) fractalization on both sidebands of the target carrier.

Since we have already denoted the wavelength as being the driver or etheric puller for the rest of the quaternion, and the periodicity is already in place, the golden spiral may be superimposed between the upper and lower sidebands, with phase represented as a clockwise or counter-clockwise rotation, amplitude as the variable upper or lower sideband depth into the sheet of the spiral (as a twisted scroll seen edgewise, with a rise or sink towards the center), the rotation speed set as the periodicity of either upper (stretching space velocity, or rate of expanding space) or lower (stretching phase velocity, or rate of expanding phase) sidebands, and the wavelength as the carrier center frequency width of the spiral.

The Heisenberg uncertainty
principle states that one can either know the position or
momentum of a particle, but not both simultaneously. For this
reason, phase and amplitude relate to momentum and position, as
well as momentum and velocity, respectively. For both upper and
lower sidebands, we have two phase states and two position states
which become etherically interchangable with each other * in
order to etherically center the container frequency, or carrier*.
Therefore, we have an incrementally rising or sinking twisted
scroll depth, as the circle (orb) seeks a new phase or amplitude
transition with either an incrementally stretched or compressed
spacetime. An increasing or decreasing amplitude would cause the
spiral pole to rotate either counterclockwise or clockwise,
respectively, but in conjunction with the south polarity spiral
shown below. A positive or negative phase shift would cause the
spiral to mover either to the right or left, respectively, onto a
new carrier. The tendency of the north polarity spiral is to
contract by inducing an ever-widening spectrum in order to
include the longer wavelength of increasing mass.

Here the poles have shifted 180 degrees out of
phase, but with the same carrier and sidebands superimposed on a
south polarity (clockwise) spiral. In the same way that LSB and
USB alternate below the threshold of consciousness with a
clockwise spiral, so too does a south polarity clockwise spiral
act as a *repellor* instead of an *attractor*. The
tendency here is to expand the spiral by inducing a more
pronounced spectrum envelope (sharper) in order to decrease the
wavelength by increasing amplitude.

__We can assume that the retained
information are basic mental functions associated with the
learned experience from infancy through the adult years that have
become nearly unconscious, everyday (frozen) activities such as
elimination, walking, and even common linguistics. These
activities represent functional information, but they have no
etheric quality.__

* The frozen activities are human
characteristics of the geomagnetic consciousness*,
including the north and south polarities, which have become
geomagnetically entrained, and are assumed as a genetic
adaptation to the current geomagnetic sphere, or earth. The
geomagnetic entrainment frequencies, given as the Schumann
resonances of 7.8, 13.8, 19.7, 25.7 and 31.7 Hz, are a starting
point for virtual consciousness. to occur, since each of these
frequencies can be

* The music of the primes for the
Sierpinski gasket will guide where the sphere comes to rest*.
Virtual programming will ascend through the mind body and then
return to the mind body via the electrical centers, i.e.,

Precaution should be taken to insulate the object with an inner set of Helmholtz coils in order to avoid bremsstrahlung. There are an infinite possible number of ghost particle projections based upon spectral resolution of emissives. (involuted projections are made from the highest possible predetermined zero on the Riemannian ley line onto the imaginary axis in order to determine the highest subset of lightcones that have minimal distortion. This is a self-limiting process). Spectral distortion is minimized by an ever-sharpening razor (sliver) of phase shifted spectral emissives. Magnetic field edge-smoothing of these emissives is accomplished by modulating the x, y, z coils with white noise. Refer to the graph below in order to better visualize this concept:

The limit of capacitance depends upon the level
of zero that is selected from the Riemann horizon of primes. The
higher the level of prime in the imaginary direction, the greater
the spectral resolution (fidelity) of real number primes in the
direction of the real number axis. Four dimensional space
stretches at a rate proportional to the increase in spectral
resolution. *The self limiting aspect of spectral resolution
means that the spectral edge frequencies of human consciousness
transcend the wave group aspect of electromagnetism towards the
particle aspect of magnetoelectrism by etheric entrainment to
order the outcome of consciousness at a geomagnetic location*
(that would otherwise be impossible to transverse using
conventional means of transport). *The allophonemics are the
key for inducing geomagnetic entrainment*.

The number of possible allophonemic
combinations becomes filtered by left brain/right brain balances
between both pitch and volume for english alphabet phonemes. Both
cases would either rebound from the USB into the container
frequency with either a pitch preference or amplitude preference
for setting up the next entrainment. A list of phonemic balances
is given in the chart below that represents the bipolar
possibilities of each phoneme that becomes associated with its * active
or passive phoneme* in order to produce the

With respect to phonemic pitch and phase
synthesis, there are numerous synthesizers out on the market that
provide a 1:1 number of frequencies per period. The number of
samples per period that are used for pitch control can be varied
to the pitch resolution threshold of human hearing, which is
approximately 1 / 16th of a tone (on the chromatic scale). Pitch
is altered by adding or deleting the number of silent intervals
for each wave period. A time domain analysis then scales the
amplitude with 3 bit sampling in order to keep the *phase
space* proportional for each pitch. This is accomplished with
a phase comparator (pitch controller) that is used in conjunction
with a digital-to-analog converter, which is essentially a
staircase voltage comparator in (1 + n) stages, where
"n" is chosen for the level of *pitch amplitude*.
The highest level of "n" for each pitch amplitude
represents the power spectrum of the sideband that alternates
between the LSB and USB. Note from the *leaf diagram*
above that there can be varying degrees of phase space (pitch
passivators) that are inversely related to each other as the
sequence progresses. *There are 6 additional passivator
sequences that are not shown in the above diagram which belong to
the LSB, and would be indicated by a black leaf on the left side
of the diagram. *The inverse relationship between passivators
depends upon the attention span of the participant(s). *There
are infinite variations according to resolutions of the pitch
and/or amplitude*. *Phase spaces (phasors) usually flip
the attention spans between upper and lower sidebands at the
wave's rotational speed, or frequency. An entraining session may
start with the double twin passivators, and then to twin
passivators, single passivators, and then the twin activators to
the double twin activators, where entrainment is induced at the
central carrier*.

Note that any term named * passivator*
requires that either the pitch or amplitude approaches its
maximum value before entrainment occurs at the carrier frequency.
These not-quite-maximum values, denoted by the filled in spaces,
alternate between upper and lower sidebands with their
orthogonals, e.g.,

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