Propulsion Applied Electrogravitic Crystallography

The Lower Side Band Approach to Increasing Phase Velocity
is a method for extracting the lower sideband transmission,
and utilize it as the new carrier frequency, and perform an-
other phase modulation to again increase phase velocity.
This allows phase velocities to increase in circuitry stages,
depending on the negative values of n in the Bessel chart,
established as follows:

For angular modulation, or phase modulation, the phase modu-
lation index (PM), or Delta_q, where q is the phase devia-
tion of the carrier caused by the modulating signal. If
Delta_theta_peak = Beta = Delta_f peak / mue, where Beta is
the argument of the Bessel Function of the first kind of or-
der n where n is an integer and described by J0(b), J1(b),
J2(b), ...Jn(b) (in the table of Bessel Functions of the the
first kind), and mue is the modulation signal frequency in Hz.
The value of these Bessel Functions is representative of the
magnitude of the signal's sidebands plus and minus n. It can
be shown that the values for the minus values (or for the
lower sideband) of n in the Bessel chart represent a dimuni-
tion of frequency and therefore an additional increase in
the phase velocity, since phase speed is a function of fre-
quency, or space. (The carrier frequency becomes represented
by setting n = 0).

The wave group speed of a modulated, longitudinally oscil-
lating field is measured from the oscillation frequency,
separation distance between masses, and the measured phase
shift. Without deriving from classical formula, with r =
separation distance between transmitting antenna and re-
ciever, and for d_0 r ,= c / 3w , the value for group velo-
city, or c_g = 1/3 c_ph, meaning that the group velocity is
about 1/3 of the value for the phase velocity. The phase
velocity is the velocity of propogation of the field pat-
terns, and for waveguides is greater than c, and is equal
to c x lambda_g / l , where lambda_g is the wavelength in the
waveguide, equal to lambda / sqrt [ ( 1 - ( f_c / f )2 ],
where lambda is the entering wavelength, f_c is the cutoff
frequency in the waveguide, and f is the entering frequency.

Beta...Jn=0 Jn=1 Jn=2 Jn=3 Jn=4 Jn=5 Jn=6 Jn=7 Jn=8 Jn=9 Jn=10
0.0....1.00
0.2....0.99 0.10
0.4....0.96 0.20 0.02
0.6....0.91 0.29 0.04
0.8....0.85 0.37 0.08 0.01
1.0....0.77 0.44 0.11 0.02
1.2....0.67 0.50 0.16 0.03 0.01
1.4....0.57 0.54 0.21 0.05 0.01
1.6....0.46 0.57 0.26 0.07 0.01
1.8....0.34 0.58 0.31 0.10 0.02
2.0....0.22 0.58 0.35 0.13 0.03 0.01
2.2....0.11 0.56 0.40 0.16 0.05 0.01
2.4....0.00 0.52 0.43 0.20 0.06 0.02
2.6...-0.10 0.47 0.46 0.24 0.08 0.02 0.01
2.8...-0.19 0.41 0.48 0.27 0.11 0.03 0.01
3.0...-0.26 0.34 0.49 0.31 0.13 0.04 0.01
3.2...-0.32 0.26 0.48 0.34 0.16 0.06 0.02
3.4...-0.36 0.18 0.47 0.37 0.19 0.07 0.02 0.01
3.6...-0.39 0.10 0.44 0.40 0.22 0.09 0.03 0.01
3.8...-0.40 0.01 0.41 0.42 0.25 0.11 0.04 0.01
4.0...-0.40-0.07 0.36 0.43 0.28 0.13 0.05 0.02
4.2...-0.38-0.14 0.31 0.43 0.31 0.16 0.06 0.02 0.01
4.4...-0.34-0.20 0.25 0.43 0.34 0.18 0.08 0.03 0.01
4.6...-0.30-0.26 0.18 0.42 0.36 0.21 0.09 0.03 0.01
4.8...-0.24-0.30 0.12 0.40 0.38 0.23 0.11 0.04 0.01
5.0...-0.18-0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02 0.01
5.2...-0.11-0.34-0.02 0.33 0.40 0.29 0.15 0.07 0.02 0.01
5.4...-0.04-0.35-0.09 0.28 0.40 0.31 0.18 0.08 0.03 0.01
5.6....0.03-0.33-0.15 0.23 0.39 0.33 0.20 0.09 0.04 0.01
5.8....0.09-0.31-0.20 0.17 0.38 0.35 0.22 0.11 0.05 0.02 0.01
6.0....0.15-0.28-0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 0.01
6.2....0.20-0.23-0.28 0.05 0.33 0.37 0.27 0.15 0.07 0.03 0.01
6.4....0.24-0.18-0.30-0.01 0.29 0.37 0.29 0.17 0.08 0.03 0.01
6.6....0.27-0.12-0.31-0.06 0.25 0.37 0.31 0.19 0.10 0.04 0.01
6.8....0.29-0.07-0.31-0.12 0.21 0.36 0.33 0.21 0.11 0.05 0.02
7.0....0.30 0.00-0.30-0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02
7.2....0.30 0.05-0.28-0.21 0.11 0.33 0.35 0.25 0.15 0.07 0.03
7.4....0.28 0.11-0.25-0.24 0.05 0.30 0.35 0.27 0.16 0.08 0.04
7.6....0.25 0.16-0.21-0.27 0.00 0.27 0.35 0.29 0.18 0.10 0.04
7.8....0.22 0.20-0.16-0.29-0.06 0.23 0.35 0.31 0.20 0.11 0.05
8.0....0.17 0.23-0.11-0.29-0.11 0.19 0.34 0.32 0.22 0.13 0.06
8.2....0.12 0.26-0.06-0.29-0.15 0.14 0.32 0.33 0.24 0.14 0.07
8.4....0.07 0.27 0.00-0.27-0.19 0.09 0.30 0.34 0.26 0.16 0.08
8.6....0.01 0.27 0.05-0.25-0.22 0.04 0.27 0.34 0.28 0.18 0.10
8.8...-0.04 0.26 0.10-0.22-0.25-0.01 0.24 0.34 0.29 0.20 0.11
9.0...-0.09 0.25 0.14-0.18-0.27-0.06 0.20 0.33 0.31 0.21 0.12
9.2...-0.14 0.22 0.18-0.14-0.27-0.10 0.16 0.31 0.31 0.23 0.14
9.4...-0.18 0.18 0.22-0.09-0.27-0.14 0.12 0.30 0.32 0.25 0.16
9.6...-0.21 0.14 0.24-0.04-0.26-0.18 0.08 0.27 0.32 0.27 0.17
9.8...-0.23 0.09 0.25 0.01-0.25-0.21 0.03 0.25 0.32 0.28 0.19
10.0..-0.25 0.04 0.25 0.06-0.22-0.23-0.01 0.22 0.32 0.29 0.21

One may extract the lower sideband transmission, utilize it as
the new carrier frequency, and perform another phase modulation
to again increase phase velocity. This allows phase velocities
to increase in circuitry stages, depending on the negative
values of n in the Bessel chart. Taking the value of r from
r = separation distance between transmitting antenna and re-
ciever, we have a new iteration taking place when a circuit stage
for the new carrier frequency is set up. Using Delta_n =
n_i ( GM ) [ 1 / r_i - r_f ] ( from Gravitational redshift
theory ) to measure the frequency shift, the new value for the
lower sideband of carrier frequency is used to measure the value
for r_f in a newer geodesic, i.e., a new constant C in the expres-
sion C = 2GM. Note that as the carrier frequency diminishes, the
value for 2GM in the above expression C = 2GM must compensate in
order to balance the above equation for Delta_n. It is commonly
assumed that G is invariable, but this is primarily an output of
theories from General Relativity.

The post-Newtonian definition of the Gravitational constant G in-
clude parameters w exactly equal to w(phi_0) where phi_0 is the
value of phi today, eons after the value of phi (that existed in
the primordial universe and in the center of neutron stars).

The phase carrier-to-noise and signal-to-noise ratios are fil-
tered, so that carrier frequency is kept from being subject to
Gaussian noise. The phase carrier-to-noise value keeps the cir-
cuit tuned to a specific center frequency, while the phase
signal-to-noise ratio allows filtering of unwanted harmonics
within a specified bandwidth. The specified bandwidth can be
determined by power summation because the signal energy is pro-
portional to the square of the Bessel coefficients included in
the summation. The required bandwidth can be determined for a
particular efficiency.

J_0(Beta)**2 +2[J_1(Beta)]**2 +2[J_2(Beta)]**2 +..2[J_n(Beta)]**2
= 1 where Beta = Delta_q_peak = Delta_f_peak / m Where Beta in
this case is the phase modulation index or the carrier frequency
phase deviation (peak) in radians, n is the order of the Bessel
function (from the above chart), and m is the modulation signal
frequency in Hz. The bandwidth requirements for phase modulation
follow Carson's Rule: B_IF = 2 ( Beta + 2 )_fm, where B_IF is
the IF bandwidth, Beta is the modulation index for phase modula-
tion or the carrier frequency phase deviation (peak) in radians,
and f_m is the modulating frequency (highest), with 2 b 10.

The spectral components involved in the phase modulation are
given as follows:

A [J_0(Delta_q_peak ) sin (wt + phi) + J_1(Delta_q_peak ) cos
(wt + mt + j) + J1(Dqpeak ) cos (wt - mt + j) - J2(Dqpeak )
sin (wt + 2mt + j) - J2(Dqpeak ) sin (wt - 2(mue)(theta) + phi)
- J_3(Delta_q_peak ) cos (wt + 3(mue)(theta) + phi) -
J_3(Delta_q_peak ) cos (wt - 3(mue)(theta) + phi) +
J4(Delta_q_peak ) sin (wt + 4(mue)(theta) + phi) +
J4(Delta_q_peak ) sin (wt - 4(mue)(theta) + phi) +
J5(Delta_q_peak ) cos (wt + 5(mue)(theta) + phi)...]
where A = magnitude, w = 2(pi)F, F is carrier frequency,
t is period, Delta_q_peak is the peak phase deviation of the
carrier, and mue is the modulating signal (2(pi)f).

When a situation arises involving resonance of the several
excited mediums, such as that for quaternic semi-conducting crys-
tals, an infinite number of parallel translations (for an infin-
ite number of crystals) can occur into different spacetimes, but
only w.r.t. the resonant frequency for each type of biquaternic
(connected to 4 non-hydrogen atoms) RF crystal. Therefore, the
maximum bandwidth for translation to occur depends on the fre-
quency range of the conducting crystal, ad infinitum. Funda-
mental Crystal Frequency Ranges are from 40.00MHz to 167.00 MHz,
but the resonant frequency depends on the thickness of a crystal
slab. The thinner the slab, the higher the resonant frequency of
a crystal oscillator. For semiconducting synthetic crystals
other than tetrahedral, there is a correlation between a specific
scale factor and the bond length d measured in angstroms for os-
cillation strengths measured in eV. Thus for the synthetic qua-
ternic semiconducting crystal, lower frequency shifts can be
realised when the Lower Sideband approach is used to increase
phase velocityof translating frequency of group wave packet vel-
ocity.

The boundary between ionizing and non-ionizing opto-thermal
radiation exists at 46.6 nanometers = 4.66 angstroms = absolute
limit of harmful radiation, with a frequency of 6400 THz. 750 THZ
- 300,000 THz is within the Ultraviolet Spectrum. Therefore, the
para-positronium probe beam radiation is practically situated
near to this limit. This means a practical source of propulsion
could be developed using quadrupolarized crystals.

In article . com,
"American" wrote:

The boundary between ionizing and non-ionizing opto-thermal
radiation exists at 46.6 nanometers = 4.66 angstroms = absolute
limit of harmful radiation, with a frequency of 6400 THz. 750 THZ
- 300,000 THz is within the Ultraviolet Spectrum. Therefore, the
para-positronium probe beam radiation is practically situated
near to this limit. This means a practical source of propulsion
could be developed using quadrupolarized crystals.

Super! You go do that. I know a guy with some
super-collosal-mindblowing-fractal-robots that will probably want to
partner with you. (His robots should be self-replicating and curing all
the world's ills by about 1998 or 2000, if I recall correctly.)

Cheers,
- Joe

Space travel is still really part of a belief system, rather than
being some kind of over-licensed, dictatorial, kingdom-now tourist
trap philosophy for carnal pleasure (that can be espoused only by
the ignorant) because the original ideas surrounding superluminal
transport currently being propogated do not belong to the ignorant,
but with the Creator alone. We are living on borrowed time. This
represents the 'value' of technology as we know it. Any "dumbing
down" of this type of technology will not recognize it as such,
and will be unable to "afford" it as such. The "runaway" techno-
logy of superluminal space travel is not so much "runaway" if it
represents the free will of carefully nurtured intuition. The
scientific method represents a logical foundation from which to
launch an intuitive project that is based upon careful observa-
tion, as well as applied science, or engineering.

This is why I have presented some of the science involved as a
premise for launching what follows. My hope is that a careful ob-
server will notice to where this is all leading - it is revolu-
tionary technology that far exceeds our current levels of expec-
tation, and although in it's infancy, promises to deliver private
enterprise into the dawn of a galactic economy - if our current
dominionist government can reinvent themselves according to what
would be defined as a New Constitutional Convention.

Although Einstein never publically completed his equations of the
unified field theory, there are those who believe that he did indeed
complete his work, for which he postulated that time itself is a geo-
metric. By altering the resonances controlling positronic/antiposi-
tronic cycles in both the atomic and Schumann harmonic 4-space,
it is possible to forge a link between the decompressing g-field of
a high electron, semicondicting, quadrupolarized crystal element
and the earth's gravitational field. The resulting phenomenon mani-
fests itself by first having an observer establish a grid system be-
tween the physical and nonphysical worlds of matter and anti-matter.
It is said that the earth itself is a representative grid whose longi-
tudinal and latitudinal coordinates are spaced at geometric distances
of 2C minutes of arc. If this is the case, we can assume a
total of:

2C(60 min/degree)(180 degrees/pole)(2 poles/geodyne)=
43,200 C minutes/geodyne, or 21,600 (2C minutes)/geodyne

for the earth's entire spheroid grid. Each 2C minute division repre-
sents an in/out distance between plus/minus fields of geodyne.
(This information follows Cathie's grid theory, which can be found
on the internet under "Leed1.asc").

Since a lower frequency of higher amplitude will subsume the ground
based 2C harmonics (between tachyonic orthogonal connectors), the
tachyonic 4-space spans the subsumed pulse chain at a single hop by
exchanging the total light equivalent of decompressing field mass
action switches with the directional 4-space equivalent.

The theory of mass action revealing the interchangability between
mass and time in the subsumed 4-space tachyonic "bubble of nothing"
decays is at the cutting edge of this technology.

Using a highly tuned quadrupolar pulsed probe beam to bombard a
highly polarized high electron crystal, the elements atoms become
irradiated to lower energy states, causing a particular color or
frequency for each quantum jump. The greater the jump, the bluer
the light, or the higher the frequency. The smaller the jump, the
more the color of the light radiated goes towards the red or lower
frequency of the spectrum. The energy released represents a plasma
state between the atom and the electron cloud. If the plasma stream
is confined to the probe beam, the resultant repulsion is in the
direction of the probe beam's axis. Cosmic decompression becomes
energized by the extraction of energy, stored as plasma, according
to the 3-spin of the electron (mentioned later).

The key to establishing the hypertranslation between the aforemen-
tioned gridpoints is to subsume the Zeeman splitting in amplitude
and wavelength, while establishing a scalar fringefield between
the 2C harmonic fringefield(s).

Since scalar wave technology uses the principle of phase conjugate
pumping "reflection waves" in order to increase the photon emis-
sion, as well as reabsorption, with a resulting increase in the
mass of the electron auger fringefield, approximately 3.3% of the
subquanta (positronium) is captured by the electron temporarily,
forming both para-positronium and ortho-positronium, with shorter
life expectancy of 1 nanosecond (10**-9) for para-positronium,
meaning that, for an incident X-ray period ~10**-19 seconds,
there is an overall pulse chain length of 10**10 wavelengths of
0.711 Angstroms each, amounting to 7,110,000,000 Angstroms total
length, or 71.1 meters.

As previously mentioned, the boundary between ionizing and non-
ionizing opto-thermal radiation exists at 46.6 nanometers = 4.66
angstroms = absolute limit of harmful radiation, with a frequency
of 6400 THz. 750 THZ - 300,000 THz is within the Ultraviolet
Spectrum. Therefore, the para-positronium probe beam radiation
is practically situated near to this limit. This means a practical
source of propulsion could be developed using
quadrupolarized crystals.

Since charge carries positive momenta for para-positronium, the
effect on precession of the quadrupole becomes a magnetically
resonanting one, using the positive ionic charged positronium
probe beam (with a life cycle of only one nanosecond, 10**-9)
before being replaced by a state of negative energy (frequency
pulled by a lower-side-band treatment of the local field strength,
estimated to be around -5.4*10**11 erg/cm**3). At nuclear pulsed
magnetic resonance, the magnetofluxgate flywheel decouples the
inert mass of the rotating disk part from the flux of gravitons.

In addition, energy for *translatory* motion can be drawn from
the rotary motion of the interacting disk/tube arrangement,
thereby producing phased linear forces that violate the CPT law.
This suggests that there is a Lorentz invariant (not covariant)
of gravitational interaction that is not associated with rela-
tivistic theory. Relativistic theory must be corrected using
the Dirac/Wigner solution:

The gravitational interaction that results from the induction
of phased linear forces are the result of 2-vector, differential
and transformational operations of a degenerate 2-fold basis
wave function that can be handled by using the 2 x 2 Pauli spin
matrices, which are Dirac related. The alternating, rotating,
charged "disks" represent amplification of the dipolar circum-
ferential cissoid cis(m_l,theta), (with m_l representing the
magnetic quantum number), which is also part of the larger,
cotwisted, counterrotational quadrupolar basis wave function.
The quadrupolar basis wave function is a direct result of
matrix modeling of invariant, or non-relativistic character-
istics of eigenfunctions, in terms of space coordinates, and
not of spin. In fact, rigid topological equivalence between
two spherical manifolds is a requirement for geometric equiv-
alence, and therefore space-like (but not timelike) trans-
lations may occur.

Properties of non-relativistic quaternions include the un-
paired three-spin electron degeneration, that is, without
an external magnetic field (earth's gravitational biofield),
the three unpaired spins give rise to four degenerate spin
wave functions. During resonance these four degenerate spin
wave functions are represented by the three degrees of spin
freedom with a fourth plus or minus time vector within the
quaternic conducting crystal. The three degrees of spin
freedom for the dual quaternic resonate by pulse chirping
at the Fabionacci Series of the Golden Mean and is a biquad-
ratic operation of quaternions (between two conducting qua-
ternic crystals). The resultant repulsion of pole and anti-
pole are treated as a specific velocity of frequency or
phase propogation and direction of vibration of the entire
particle between two repulsive nodes in space.

The crystal itself has already been prepared by a curing
technique that orients the ions in the crystal according to
their polarities. Each crystal may be visualized as having a
cubic structure. For polarization, each of the columns of
cubes have four visible faces, with the tops and bottoms of
the column representing a positive and negative polarity.
Upon positronium bombardment, irradiation causes the auger
electrons to have a particular rotation, precession, and
wavelength. We may use the terms spin, twist, and flip to
describe these properties. Spin and twist are character-
istics of the electron, and can be represented by the fol-
lowing sequences:

spin[u,f,r,b,l,d] = [u,r,b,l,f,d]

twist[u,f,r,b,l,d] = [f,r,u,l,d,b]

where u,f,r,b,l,d represents up, front, right corner, down,
left, and back corner. Since rotating a cube four times
brings it back to its original position, the electron's
spin and twist decompression frequencies operate in phase
multiples of s_n = 1/4**n and t_m = 1/4**m of the pulse probe
frequency.

The covariant terms that are associated with permeability
(m), frequency (n), gravitational vector acceleration dir-
ectional cosine w.r.t. x-axis, or polarizability tensor (a),
gravitational vector acceleration directional cosine w.r.t.
y-axis, or the deviatoric stress tensor, or the phase tensor
(b), and the charge density tensor (s) can be directly related
to the above electron characteristics and are defined in the
Christoffel expression for which there is a four dimensional
component of Riemann curvature that is dependent upon the
local curvature of spacetime.

These topics are covered in the "Design of the Magneto Flux
Portal", and "Shuttling Hyperspace: Electrostatic Potential
Matrix, Ground State Changes, and Eigenstates with Positive
Energy Change for the Quaternic Crystal in 5 Dimensions", an
article in which I explored the theory for a 4 dimensional
space that is fractal-mapped (Sierpinski) to a 5 dimensional
torus when the geometrically distinct topology such as a 3-
torus (made from a cube, or more precisely the tetrogonal
lattice, which fills in the center vacancy, and reconstructs
the pole values for spin by pulse chirping the probe beam so
that topological equivalence is conserved).

The 3-torus, from torus screw theory, consists of 3 donut
chain segments with 1/3 fractional charge. An abstract vis-
ualization would be to imagine the opposite sides of a cube
that have been glued together in the shape of an inner tube.
The "chain segments" are actually the boundaries of symmetric
ends of the cube being glued together, creating a continuous,
but entangled medium. Measuring one of the entangled "rings"
in the quantum entanglement will disengage that ring from
the other two, but will not affect their connection. By
measuring the spin on one of the rings, the measured ring be-
comes disconnected, while the other 2 rings can still re-
main entangled. These three rings represent the CORDIC algor-
ithm for implementing the delta function for generating the
time-locks in the aforementioned, THz-range, high amp puls-
ing network. The delta function is simply the Kronecker delta
tensor, which takes two contravariant vectors and turns them
into a scalar, ds**2, where ds**2=dx**2+dy**2+dz**2, or other-
wise written as ds**2=[delta_ij](dx**i)(dx**j), where [delta_ij]
equals the Kronecker delta. This equation can also be rewritten
as ds**2=[g_mue_vue](dx**mue)(dx**vue). (See Wikipedia ref.)

"... where the Greek letters just remind us that we are summing
over four dimensional space time. Now in the case of special rel-
ativity g_mue_vue is zero for where mue and vue are different,
+1 for the space indices 1,2,3 and -c**2 for the time index.
We can call this special matrix "nu", giving us the formulas:
ds**2=[nu_mue_vue](dx**mue)(dx**vue)."

The Kronecker delta, as used here, represents an automatic sum-
mation over the indices, from the multiplication of tensors,
also called tensor "contraction". "Contraction" is an operation
that produces a new tensor from an object whose tensor char-
acter is known. (In German, the word for contraction is
"Verjungung", which is translated as "rejuvenation", see ref.
on Mathematics of Classical and Quantum Physics).

The bases of the Sierpinski-generated tetrahedrons represent the
boundary of the vacuum lattice structure, whose representative
tetrogonal-leg resonate at inverted pi phases for doublet gener-
ation. The doublets are separated by a confining plasma stream.
The A_a body-centered tetragonal lattice then retains its topo-
logical equivalence within this 3-torus during hypertranslation,
because the edges of the lattice (Sierpinski gasket), e, raised
to the power of the reduced Hamiltonian, -H, is a function of
the Kronecker Deltas subsumed (i.e., field effected) by the
S-gasket. (e.g., Let e(G) be the number of edges in G, where "G"
represents a Sierpinski gasket representing a network of intercon-
nected resistors. The product of the Kronecker deltas and the
weighting factor, p(K,q), represent one half of a disjointed set,
E(G), with the other half of the set having a weighting factor
of 1). The Kronecker deltas use the values of ones and zeros in
evaluating the positive and negative phasor (pilot wave) repre-
sentations between the resultant gradient of multiplications be-
tween vectors and the (pseudo-random) orthonormals of their phase
conjugates. The greater the bandwidth (inversely related to polar-
ization) of the positive or negative phasor or pilot wave, the
greater the number of spanning trees in the Sierpinski gasket.

The reduced Hamiltonian -H, requires a partition function Z(k,q)
that reveals the proportion required for the number of spanning
trees in the gasket, when taken to the limit as q approaches zero.
The model with one general pseudo random number generator have
what is called "toppling operators" that do not depend on the
state of the local pseudo random number generators, but are non-
local in their distribution. Being non-commutative or non-local
in each state means that each outcome of particle distribution
can vary non-locally. This is what would appear to an observer
as local "time hops", suggesting a fractal nature of 4-space.

The Dirac Hamiltonian is not *totally* Lorentz covariant
since it is, in part, not an invariant (ibid) "world scalar"
and is the generator of the particle motion with the
ordinary time t (in space and time and not in the space-
time continuum). The spacelike four vector of Dirac is
"tachyonic", while negative energy, or "Dark Energy" is
the canonical conjugate of Time. Being not world scalar,
a "global supersymmetry" is implied that prohibits a
cosmological constant, using the aforementioned conformal
(or scale) invariance, under which the metric is multiplied
by a spacetime-dependent function, e.g., g_mue,vue becomes
[e**(lambda)(alpha)]*(g_mue,vue), where lambda=wavelength,
alpha=polarizability tensor, and g_mue_vue=spacetime metric.

Since one has to take into account the polarizibility tensor
(when calculating for the value of "alpha"), the gyromagnetic
precession gets modeled like the precession of a gyroscope,
having an angular velocity as well as angular momentum (w,H)
that is stored in the electric field. The angular position of
the precessional spin axis, theta, and angular velocity, w,
have a transfer function, Theta/Omega = H/(Js**2+K), where
J=inertia, s=represents the index for J in the complex number
domain, and K = 'spring constant' = magnetic resistivity =
1 / magnetic susceptibility for the *second* resonance peak
(I chose the second resonance because it relates to the prox-
imity of the resonance frequency, i.e., pulsed
frequency dependent).

The center-of-mass energy of amplitude reaches a maximum
value when w is just under 0.8(w_r), where w_r = Raman reso-
nance (rotation frequency). The energy amplitude of the quad-
rupole oscillations becomes "extremely large" while the fre-
quency of the quadrupole oscillation is close to zero. This
is where the ELF frequencies become important for the decom-
pressing quadrupole. The precessional 'wobble', or off-center
-of-mass causing off-Raman resonance oscillations between
positive and negative states, has oscillation frequency de-
termined by the ~0.9 detuning from the Raman resonance. This
phenomenon is a result of the Optical Bloch Equations result-
ing from a vortex cycling in and out of the Fermionic crystal
(driven by optical stirring of the pulse probe), whereas in the
aforementioned oscillating quadrupole, the 0.8(w_r) represents
the Rabi oscillations of an atom in a light field.

One can wonder whether the 'second resonance peak' can be
used as a gauge for some of the non-transitive shell states
in a decompressing crystal g-field, while still retaining the
transitive ones. In this way, the entire crystal's atomic
field becomes decompressed, while still retaining the 'ghost
field' of the original crystal. Of course, the nuclei would
be preserved from nuclear magneton resonance by avoiding
those particular frequencies, or harmonics near them.

The "e" charge of the electron is an ionic one that delivers
MASS as "space synchronous" energy in terms of a mass-to-
length, or l(l**2)(t**-2), or (l**3)(t**-2). This involves
the super-position of two INBOUND and OUTBOUND resonant fre-
quencies, with a mass-to-length transformation with the con-
ventional dimensions of Einsteinian Energy m(l**2)(t**-2)
becoming (l**3)(t**-2). This represents the fourth state
of matter with (p,iq) representing the phase space, and
the common element between both p and iq being the electro-
magnetic coupling constant, calculated for each particular
Fermi plasma state, which varies for both electrons
and phonons, and is dependent upon the frequency and ampli-
tude of the probe beam.

The magnetic moment of the neutron is to be regarded as due
to the rotation of a negative electronic charge distribution
of the electron cloud. However, with a 'tuned' probe
beam, we are talking about superimposing a space reso-
nance as a negative out- wave at the center of the
electron's in- wave, forming a spherical standing wave.
The standing wave produces annhiliation of the in- and
out- waves, producing a pair of photons with even momenta.

Each of these photons represent a red-shifted and blue-
shifted sum of shared space resonances between two other
photons. These two other photons represent the "dark
energy" photons in the far field component of space
resonance. For para- positronium, there is a charge con-
jugation parity of -1, meaning that the momentum fre-
quency, in terms of the parameters of the sine function,
is equal to:

-[gm(c**2)b/h], where the value gm(c**2)/h=mass frequency.

In these equations, "g" is a relativistic term, equal to

g = [1 - (v/c)**2]**-1/2 for the doppler effect. The

value for b is the relative velocity b = v/c.

Now we come to a fundamental change in the way we view
mass "m" in the above equations. The terms used to de-
scribe mass frequency become "programmable" from a
"carrier wave" standpoint, but notice that due to the
negative charge conjugation parity, there must be a
"negative mass frequency" involved. This happens to be
the point where a subharmonic of the phase conjugated
replica wave becomes the new carrier for the decompres-
sed EMF "fringefield" along the plane of polarization.
Since relative velocity, b, is only a ratio of relative
velocities =v/c, where actually, v can be said to equal
c+n, with n equal to either +dv and -dv, but not simul-
taneously, representing the upper and lower sideband
spectrums, we have established an interdependency be-
tween the near field and far field components w.r.t.
"hidden" mass frequency becoming a new fringfield mo-
mentum frequency.

What of the decompressing radius encompassed by the ab-
sorbing medium? ELF wavelengths above 10,000 kilometers
have a center frequency of 76 Hz, with a +/- 4Hz shift,
80 Hz for "1", 72 Hz for"0". Since we were using para-
positronium, notice that we originally stipulated that
the momentum would be "even" only, corresponding to a
"carrier", or "2" value. Multiples, or harmonics of
these carriers have a correspondingly increasing fre-
quency w/ decreasing wavelength, e.g., 71.1 meters =
11.67 MHz. 35.55 meters = 13.665 MHz., and 17.775 meters
= 8.3325 MHz. All of these frequencies are harmonics of
3 to 30 Hz ELF waves, but what harmonics, in particular,
do they need to be in order to be earth harmonic? One
good place to start is the Schumann resonance, which is
7.486 Hz. If we use 7.486 MHz., then the corresponding
wavelength would be 14.953 meters. This is approximately
2.103(10**-20) seconds, which corresponds to the afore-
mentioned 1/f pulse chain harmonic of the
Schumann resonance.

For the sidebands, we have the "information" exchange
taking place between the aforementioned red-shifted and
blue-shifted sum of shared space resonances between the
two negative intrinsic charge conjugation parity photons
of positronium and two other "dark" photons of positive
intrinsic charge conjugation parity. Since the lower side-
band equals increased phase velocity, the blue-shifted
sum would represent the near-field exchange of space
resonances with the far field, since phase speed increases
with a dimunition of frequency.

The grounding mechanism for the decompressing g-field is
simple: the recapture of fringefield electrons into the
polarized crystal when the probe beams are turned off.

Several diagrams in some of the ARRL books for Radio
Amateurs (Spread Spectrum Communications Theory) show the
"zero frequency", DC, as being CENTERED between the upper
and lower sidebands, ergo negative frequency being the
recipricol of time, f=1/t, for TIME REVERSAL below 0 Hz.

The mathematics of phase conjugate waves uses theory of
reflection. Some elementary functions f(z) possess
f(-z)=-[f(z)], and others do not. Examples of those that
*do* are the functions z, (z**2)+1, e**z, and sin(z). When
z is replaced by its conjugate, the values of each of these
functions changes to the conjugate of the original value.

Moving one step further, we can expand (z**2)+1 into
(z_n + i_n)(z_n - i_n), making i_n the value of bridging
discrete levels of charge for each value of "n" in a de-
compression sequence, w/ "z" representing the magnitude
of the phase conjugated scalar.

For visualizing a reverse wave, a true mathematical rep-
resentation of this would be not as a SPATIAL represent-
tation of photon/mass absorption and emission mechanism -
but SPATIOTEMPORAL, in the form of the aforementioned
*imaginary number* on the y-axis, representing the "nega-
tive frequency", or "lower sideband" DC carrier wave. An
example of this is the holomorphic differential, w, being
the total differential of a holomorphic function in a
*neighbourhood of each point of a mappable surface S*, in
this case being a Riemann surface of genus 2 (e.g., torus)
where w = f(dz), dz=dx+i(dy), and f is a holomorphic func-
tion in z. The SU(1) Kahler invariant form (Schlichenmaier),

w = [2i/(1 - [(z)(z_bar)]**2]d(z)d(z_bar)

represents a Riemann surface M taken as *quotient space*,
meaning that the M space is the result of two surfaces
that are being divided from one another, with the condition,
z, as an element of the Riemann sphere, |z| 1/G

with "G" representing a Fuchsian subgroup (upper half plane
resulting in the hyperbolic function of a projective
special linear group. The linear group is isomorphic to the
group of all orientation-preserving isometries within the
boundaries of the hyperbolic function).

A linear fractional transformation defined by a matrix from
PSL(2,C), the projective linear group, will preserve the
Riemann sphere, but will send the upper-half plane H to
some open disk named "delta". Such a transformation will
send a discrete subgroup of PSL(2,R), real numbers, to a
discrete subgroup of the Riemann sphere, PSL(2,C),
preserving "delta". (Fuchsian subgroup)

Deltronic translations for the discrete subgroup PSL(2,R)
include tori, producing worldlines for tachyonic systems
and Witten "bubble of nothing" decays. (Silverstein)

In a genus-2 Riemann surface, there are 2**2g spin struc-
tures, corresponding, roughly speaking, to the assignment
of periodic or antiperiodic boundary conditions for the
Fermions along each generator of the Homology group
H_1(sigma). These spin structures are classified into two
groups; a spin structure is even if the number of zero
modes of the chiral Dirac operator is even and it is odd
otherwise. In the case of the torus, for example, we have
four spin structures, corresponding to (P,P),(P,A),(A,P),
and (A,A), with P(A) indicating periodic (antiperiodic)
boundary conditions along the homology basis (a,b). With
the flat metric on the torus, we can see that (P,P) is the
only odd spin structure. The other three are even. (ref.
String Theory and Quantum Gravity, L. Alvarez-Gaume' and
M. A. Vdzquez-Mozo)

As the understanding goes, the odd spin structure (P,P)
is the only structure with gauge bosonic activity between
multiverses. Likewise, the same tori structure represents
the electron: the rotational structure for the inertial
mass that includes gravitons acting on a toroidal energy
flux is a favorite representation in the "torus of time"
scenario. The torus is a genus 2 "mappable surface" that
uses "holomorphic functions" such as the SU(1) Kahler metric
(invariant). These systems describe a microcosm of the "grav-
ity wave exhaust" forensics now being studied by those *not
within the black world* of FTL technology. Once the discovery
of a geometric pattern of Poynting energy density flow related
to earth's spherical harmonic(s) is established, transpor-
tational gridlines can provide the required flight path
and monitoring, so that, excluding the sea of space, the
internationalization of trade would become a thing of
the past.

Albert C. Crehore published "New Electrodynamics" in 1950.
In this book he described how the motion of protons in the
nucleus would produce gravitational field effects. Gravit-
ational field effects such as counter-bary are used in
the mainstream effort to develop non-aerodynamic non-rocket
flight systems that usually referred to as "anti-gravita-
tional". By making use of the Crehore Paradigm it is pos-
sible to derive a method of producing counter-bary. It's
most likely Crehore had no knowledge of Brown's 1928 British
patent for a gravitator device that would have been a macro-
scopic analog of a Crehore atom. (See ref. quote)

Today, the counter-bary method can be represented mathema-
tically using an orthogonal pair (upper and lower Hessenburg)
matrices that represent left and right handed operators, or
"partner symmetries". Partner symmetries, or Lax pairs, are
used for obtaining non-invariant solutions of partial differ-
ential equations, using the Monge-Ampere equation that, for
control theory, governs the Kahler metrics of scalar wave
technology.

The relevant Monge Ampere equations have been described for
a non-linear plane of a moving threadline. The "threadline"
represents a serialized (thread) decompression (kinetic) rou-
tine for the rotating/counterrotating disk/tube arrangement
involving geometric and material non-linearities, i.e., shock
wave-fronts propogate at vc for T=(1/-f), longitudinally, and
,= c for T=(1/f), transversely. The interdependency for Lax
pairs allows, in principle, 3 of 4 longitudinal/transverse
pairs to be phase conjugate mirrors at a single pulsetime
during some pulse programmed, marched time series. Three out
of four mirrors are used because the fourth phase conjugate
wave is used as the pilot wave, and not "mirror" for the rest
of the single 4-step in the series, being the aforementioned
red-shifted and blue-shifted sum of shared space resonances
between the two negative intrinsic charge conjugation parity
photons of positronium and two other "dark" photons of posi-
tive intrinsic charge conjugation parity. The dispersion re-
lation (a.k.a. mass shell) w = 2*(pi)*(nue) = c|k| for far
field gravity waves is violated in the near field for freq-
uency "nue" and wave 3-vector k = p/h, where k = Newtonian
g-constant = 6.670*10**-8 dyn.cm**2/g, p = phasor (part of
phase space (p,iq), where p = momentum component of phasor
and iq = imaginary instantaneous charge component of phasor,
where p**2=m**2, which consists of one half of a 4-momentum
"p" that includes energy as part of its timelike component,
nue = wavelength, w = frequency = f, with 2nf = angular
(phased) w_ph, n = # rotations, h = Planck's constant, and
c = speed of light in vacuum.

Not only by programming the timing of the pulse probe, but by
programming the counter-baries with the counterrotating,
spiral shaped magnetic transmitter coils at their rotational
frequencies, an "off-resonance decompression" of the g-field
shock wave can be realized for both horizontal and vertical
decompressions. FTL propogation is measured by mapping the
region of time that becomes enclosed in the EMP area (total
space-time) using the formula t_map = R**(1/3) / (l_p)**(2/3)
where R = region radii and l_p = Planck length. Each clock
"tick" represents how distances are gauged by transmitting a
signal to the "fringe" and timing how long that signal takes
to arrive back to the receiver.

The level of precision for measuring clock "ticks" is limit-
ed to 10**-15 meters, therefore, at this point, the measuring
instruments are just on the verge of becoming a black "hole".
The tuned and polarized probe beam focused into the crystal-
ographic plane of polarization, and resultant g-field propo-
gation, gives a longitudinal & time polarized observable/
scalar wave-paired photon, on the fourth Minkowski axis,
between lattice points for each standing wave in the
crystal lattice. Resonance aether anti-gravitons are produced
when the probe beam "pumps" the polarized crystal of its
electron mass energy, creating a repulsive field effect, and
decompressing the resonance into the local EMF.

References:

Genus 2 Surface
http://www.rose-hulman.edu/~brought/Epubs/soccer/
soccerpics.html

Fuchsian subgroup
http://en.wikipedia.org/wiki/Fuchsian_group

Holomorphic differential
http://eom.springer.de/D/d032240.htm

Non-Euclidean Crystallographic Group
http://en.wikipedia.org/wiki/Non-Euc...ystallographic
_group

Scientific American Magazine, November, 2004, Black Hole
Computers, pp. 53-61

http://planetmath.org/encyclopedia/PotentialTheory.html

Wikipedia: http://en.wikibooks.org/wiki/General_relativity:
Metric_tensor

http://www-fourier.ujf-grenoble.fr/~eferrand/PSB.pdf

Quote from:

http://www.earthquakewarning.org/RS_REFS.html#RS_REF_6:

Tesla Video: (This file is 379Mb, and may take a while
to download!)

http://www.revereradionetwork.com/me...eos/Phenomenon
%20-%20The%20Lost%20Archives%20-%20The%20Missing%20
Secrets%20Of%20Nikola%20Tesla.avi

Mathematics of Classical and Quantum Physics, Frederick W.
Byron, Jr. and Robert W. Fuller, Dover, p. 34)

In article .com,
"American" wrote:

Properties of non-relativistic quaternions include the un-
paired three-spin electron degeneration, that is, without
an external magnetic field (earth's gravitational biofield),
the three unpaired spins give rise to four degenerate spin
wave functions.

Quaternions yes, but what about non-relativistic complex numbers? Or
relativistic integers? And let us say nothing of the slow-moving
irrational numbers (*shudder*)...

Joe Strout wrote:

In article .com,
"American" wrote:

Properties of non-relativistic quaternions include the un-
paired three-spin electron degeneration, that is, without
an external magnetic field (earth's gravitational biofield),
the three unpaired spins give rise to four degenerate spin
wave functions.

Quaternions yes, but what about non-relativistic complex numbers? Or
relativistic integers? And let us say nothing of the slow-moving
irrational numbers (*shudder*)...

Are non-relativistic complex numbers part of the Unified Field Theory?
Answer: Yes, but in this case, non-relativistic complex numbers are
not *Totally Lorentz Covariant*, because if they were, it would be a
world scalar, implying that a different kind of "global supersymmetry"
is implied, which is really a subset of the spacelike 4-vector of
Dirac,
meaning that the cosmological constant is a variable (ibid), and space
and time are distinguishly separated from the space-time (totally
covariant) continuum.

Are non-relativistic integers part of the Unified Field Theory? Answer:
Yes,
following the above proposition, and in an orthogonal relationship with
complex numbers. Are you joking?

Do you mean by "slow moving irrational numbers" that total covariance
is
implied? I'd rather use the term "revariance" to avoid being
world scalar!

First, let's get our representations of those complex, relativistic,
and
complex numbers geometrically, O.K.?

There has to be a basis for establishing the cubic face centered mole-
cule, as well as any other quadrupolarized crystal, if you've been
sticking close to the analysis. Here is a much simpler diagrammatic
of how our number system remains "quaternic":

http://images6.theimagehosting.com/cube_1.JPG

One can use the Laplace equation to define some of the functional para-
meters listed in the Bosonic Exchange Mechanism [e.g. f(r sin(wt))] and

in terms of four boundary conditions for the BI-II crystal: u(0,y)=0
for
0yb, u(a,y)=0 for 0yb, u(x,0)=0 for 0xa, and u(x,b)=f(x) for
0xa.
The edge of the crystal on one side represents a boundary for covariant

ion charge/gravimetric mass exchange, where the "b" value assumes
that the "y" value is held constant for values of "a" that vary
between 0 and "x".

We will commit a fundamental research heresy by assuming that tem-
perature has a negligible effect on ion charge, since there is a
temper-
ature and inverse frequency relationship in the vibrational resonance
theory, which we would have to take into account for a more complete
picture of the BI-II operating environment. Suffice it to say that we
will overgeneralize the analysis for the sake of a less rigorous theory

so that we can state the homogenous and inhomogenous boundary
for the dipolar diamond centered lattice, which is more resolutely pic-
tured at the link provided below. A transformation of coordinate
systems
is also in order for the r, z, theta, and phi into the spherical coor-
dinate ((del)**2) * u(r, theta, phi, z) domain.

http://images6.theimagehosting.com/bipolar_bcc.JPG

As one should see, I'm trying to establish an understanding with
the theory of quaternics with respect to hypercubes, all in the context
of achieving some base for establishing fundamentals to the theory.