by Michael Topper
Special supplement to
"What is Christ Consciousness?" Herein all the secrets
of Teleportation, Free Energy, UFO Technology, etc. etc.
are explained. All particles, fields and physical forces
are explained from the Initiated View.
Technology-Beam Technology -Orgone/Pranic Energy-The
Unified Field etc.
In order to understand the relation between "psyche" and "physics"
(classically posed as "mind" and "matter") it is necessary to
understand what physics is-not tease apart an analytic definition of
"psyche". After all, it's physics which is taken for granted as
somehow already known, and is therefore overlooked in any attempt to
approach what appears to be its unknown "opposite number".
All energy, matter, forces and fields comprising the physics of
material expression, are functions of an abstract geometry. The
discipline of physics has tended toward the expression of its
elements in terms of pure geometry, and quantum mechanics only
furnished a momentary break in the continuity maintained by general
relativity when it detoured into statistical probability. That
continuity was resumed when emphasis shifted to gauge theory, and
the resolving allure of symmetries.
Despite the notorious "fuzziness" of quantum states, they're
expressed in terms of spin, interval, charge and moment which are in
fact quantized, i.e. assigned discrete properties - integer and
half-integer values, rational fractions and ratios or non-constructable
numbers functioning as constants. Though physics may not order
itself macroscopically in takeout, styrofoam geometries as with
Kepler's harmonics of planetary orbits styled after Pythagorean
intervals, it exhibits a deep relationship with ideal properties
in the Euclidean sense. Mapped schematically, it displays the types
of integral values generated through those most schematic of "solid
objects", the sacred polyhedra.
These stable linear-form volumes gestated into being on the basis of
an "organically'' frugal Noesis (through parity, axial rotation and
mutually inverse symmetries) dice up their common internal spaces by
angles, axes and edges so as to render the kinds of submultiples and
constants operating in the abstract harmonies of elementary
particles and fields.
The counterchanging equivalents of particles
and fields may not show in overt geometries or radial symmetries,
from the trace-impressions registered across the uniform perceptual
plane; by mass, weight, coupling constant, spin angular momentum and
charge they may seem quite distinct. Yet these "differences" can
testify to a deeper identity when their elements are schematically
analyzed and rearranged.
The plotted relations of quarks and leptons on a horizontal plane,
displaced vertically proportional to their respective charges,
polarize the angular coordinates of an ideal cube; the requirement
of square-summing the "real" and "imaginary" parts of a field
specifying spin states of particles and resonances in measuring
angular momentum, plots a straight line in the
Regge trajectory; the
rotational identity of particles is established by the abstract
operation of right-angled reflection through the space of
"strangeness" and "isospin" mirrors, producing highly defined
In the same way, conceptual rotations
performed on the double-valued quality of fermions (matter
particles) in an abstract "super-space" with anti-commutators,
demonstrates deep angular identity with the class of bosons or
force-particles (showing that, in theory, one is the self-same
entity as the other only working the hyper-dimensional
In "heterotic string" theory, the summary familial group designated
E8xE8 reflects a generalization of crystal symmetries, so that a
strictly "abstract" pattern produced by categorial requirements
applies directly to the macroscopic (observable) order of
structures. Euclidean geometries peep from the apparent chaos of
nature as occasional observables, sifted from the scales of
micro-information to obtain some reflection of the abstract form
governing all contributory processes: salts, honeycombs, seashells,
pinecones, galaxies, viruses.
As above, so below; the planning
boards of those macro-forms may be observed by purely noetic
reconstruction. Thus the field of perception and the field of
cognition bear a deep relation. Thetic geometries in purely abstract
space inform real constituents of experience, and are inseparable
Down the Quadratic Rabbit Hole: The Curious Cube of Space
The inevitable conclusion is built into the very process whereby the
evidence is collected, at the quantum-physical level. Physicists
have however been reluctant, by specialization, to perceive the
ontologic implications of their routine operatives.
In order for example to make their predictive determinations (i.e.
locating an electron in a specified spin state at a given moment),
measurement must give the differences in the phase fields - parallel
and antiparallel components of spin etc.- rather than specify some
"absolute" phase. The "real" and "imaginary" parts of the
wave-amplitude must be indistinguishable, i.e. they arc
constitutionally incapable of being separated in some absolute way.
This doesn't point up a defect intrinsic to our relative perspective
(as if there were fixed "real" signs that our perspective prevents
us from determining). Such measurements aren't constrained by the
presence of observer-consciousness; they are functions of it. There
is (what physicists call) a deep gauge symmetry at work in the fact
that adopted conventions specify the "signs" of complementary
values. This is equivalent to the phenomenological circumstance that
- for example - the foreground and background projections of a
Necker cube are an arbitrary convention of focal alignment.
The comparison is in fact profound, for it involves common elements
that give away the game as to exactly what we're dealing with in all
cases; the reason it hasn't been universally recognized to date, is
that physicists have adopted their conventions as practical tools
without wanting to, believing they could, or trying to know what
The common denominator in our comparative example above, is observer
perspective (electrons always align with the axis of the observer,
no matter what conventions are adopted or angles selected).
relative ascription of plus and minus signs (i.e. in defining
oscillations of wave amplitudes) requires the component of √(-1),
i.e. the imaginary value i. All such operations enlist the
quadratics of complex numbers, those having real and imaginary
components perpendicularly plotted such that the "negative" domains
of the horizontal x-axis are obtained by squaring the coordinate
points of the vertical y-axis; such square-root relationship
differs from the Cartesian coordinate-plane as a dimensional
perpendicularity (i.e. a rotation of 90°).
Such a dimensional
relationship with respect to the negative, real-number axis
resembles the mutually negating inversion-values belonging to the Necker cube, where the dimensionality of the object positively
defined in "real" (preferred) space depends on the fluxing negative invagination occurring through that space (i.e. turning negative
spaces, shaped by common boundaries, insideout relative to each
other). The arbitrary "relief" of one set of coordinate planes or
the other as a function of the "negative" potential assigning
respective values, demonstrates the existence of those
ambiguously-"doubling" coordinates as x= +/- √(-1). They are
interpretable as a function of i.
The value i represents "imaginary"; by implication it's the idea of
the "thing", for it posits both a "thing" and its absence. It's easy
for us to believe that a perceived "thing" exists out there, in
itself independent of the observer; but the posited "absence" of a
thing is self-evidently an expression of consciousness, an operation
of the ideoform character of experience. That a "thing" and its
negating obverse are given together in the Necker cube despite our
tendency to align some angle of bias into preferential relief, shows
by example the ideoform character of every object (surrounded as
every object is with its inverse-focal envelope of coordinate
negations, cf. "What Is Christ Consciousness?", Issue 6, Jan./Feb.
1990 pp. 17-18).
The relation of abstract to operative spaces, ideal symmetries to
functionally differentiated forces, and real to imaginary numbers
involves the same conclusion. All energies, forces and fields
comprising the physics of material expression, are functions of an
Abstract geometry, in turn, is a function of consciousness.
Thinking Along the Same Line
Is the latter a leap that may appear to be missing its median term?
Consider: when we think of "geometry" we presuppose forms of spatial
configuration, or the temporal harmonics of sound etc. Yet geometry
in itself is neither "spatial" nor "temporal", but simply loans
itself to such descriptions secondarily. It is first of all a purely
noetic system of rates, ratios, intervals, agreements and
alignments; its components exist independent of "things" measured,
as an abstract typology constituting a strictly internal
self-description with no required reference.
Consider now, the way we determine what's "conscious" in the first
place. As a self-evidently aware expression, we note the power of
abstraction (which gives us our self-reflective ability to recognize
the presence of such consciousness). We further perceive that there
are purely noetic or ideal/rational values that make use of and
require that power of abstraction.
By definition, for example, a
line (i.e. ideal, or straightline) is a continuously self-displacing
point magnitude - a non-dimensional entity - extended in a single
dimension, i.e. length, such that no divergence arises in the
superposition of any arbitrary segment on any other; and likewise, a
"circle" describes a closed-plane curve all points of which are
equidistant from a mutual point. Where does any such ideal figure
appear in the rough macroscopy of nature? (except perhaps in the
crop circles, if we accept them as "organic" phenomena!)
The terms of geometry, then, are fundamentally noetic (regardless
whether they trace back in temporal origin to the
Mother-of-Invention, practical necessity): they're ordered in the
domain of the ideal, partaking in prime part of rationality,
abstraction and therefore consciousness. If in fact we turn
momentarily from the Mother-of-Invention to Mother Terasu (issue 5,
Dec. '89 TNTC), we'll perhaps recall that the phases of elementary
geometry are the spiritual residue or signature "background noise"
of the primordial creative Event in consciousness, wherein the
limitless potential of Limit is granted its cosmic day by extension
of the absolute self-continuity of being (consciousness itself)
toward differential qualities bestowing abstract homogeneity and
unitive self-conformance through delimiting states and dimensions.
We know then what's "conscious"; and, so far, we can see that the
spirit of "geometry" belongs fundamentally to that value.
Isn't, however, the signature of geometry derivable from physical
characteristics? And if so, what exclusivity does "geometry" bear
with respect to consciousness, in that case? Moreover, how does the
sacrosanct symmetry and abstract/zero-sum purity of geometry as "mindform",
justify itself in relation to the apparently disparate requirements
of real physical operants, where effect issues as the result of
non-zero sums, real time and space anisometrics, chirallic and
vectorial preference etc.?
The answer is, first of all, that geometry bears no exclusivity to
consciousness unless "nature" (the practical physics-of-things) is
recognized as participating equally in and as expression of both
that "geometry", and that consciousness. And this can only come
about by recognizing that "real" space is abstract or noetic space,
a value of consciousness, only masked or "broken" by the ontological
angle at which the coordinates of cognition intersect that space.
This latter proposition bears deep relation to, but is not the same
as, the explanations of "symmetry breaking" in physics.
Thinking in Circles
As an example: the basic, electromagnetic field, by itself,
describes the gauge symmetry (U)) of a circle, i.e. it conserves
symmetry when rotated about its center through any angle. Such a
symmetry exists, so the physicists say, in abstract space. If all
other forces and fields are variations on a single field, why do the
strong, weak and gravitational fields exhibit dissimilar coupling
constants, (behavioral properties, masses, ranges, etc.) and
therefore participate in symmetry groups of different "shape"?
By analogy, we can "explain" that the sun - for example - shines its
rays in all directions equally; and each ray, being an expression of
the self-same coordinate field, tends to appear as bright and shine
as far as any other ray. However, if we posit the interposition of a
wall appearing from our left and extending midway into our visual
range, we can assert that some rays did not in practice shine as
bright or extend as far.
This, crudely stated, is an analogy of
"broken gauge symmetries". The symmetry of the light rays remains in
theory, but it is masked or disrupted in practice so that some rays
are intercepted and bounced back, never influencing the visual
field. The "wall" in this example represents some extenuating
"function", i.e. the tendency of states to seek their lowest
energy-value etc. If an excited energy state acquires mass in the
indeterminacy range, the total value of the forces is conserved in a
different "packaging" which changes the functional results.
Initiated understanding, in order to establish the identity of
"nature" and consciousness, asks what accounts for the appearance of
those qualifying functions fatefully mitigating direct perception of
the field of experience - as a whole - in terms of the perfect
circular symmetry abstractly described by the ee field?, what
accounts for the incursion of those compromising functions which
deform and squeeze a noetic magnitude, decomposing it into the
variegated textures and cross-sectional crenatures of interference
contributed to the broken-field running of the "real" world?
There's Always an Angle
We've already seen the "sinister" device; it's the innocuous "angle"
that marries i (imagination) to the negative squares involved in
kicking out a provisional term modeled in "positive" spacetime. As
"imagination" (mind) related to the "negative-square domains" (Void,
actually the double-negative of Diamond Vajra Void), we behold the
instrumental evidence of Void-mind, introduced as a Trojan horse
into the workaday world of physics.
Nor is this just another
"occult" attempt to find the mystagogic sign of spirit in every
disposable "discovery" of science; for we've already seen the way in
which these calculations necessarily imply the presence of
consciousness (the Muse of Charles Muses presiding over this point,
Angle is the specific culprit; angle gives the coefficient in the
ratio of interaction between whole-value or integral magnitudes.
Angle is itself a non-constructable (irrational) expression like
or Pi; irrational numbers can be generically represented in the
hypotenuse of a right triangle. Angular coordinates involve a factor
of infinite uncertainty (in the same way that irrational values are
non-constructable expressions presiding as constants independent of
the quantifiable terms of their operation).
At precisely the locus
of intersection setting the ratios of function (reflecting rates,
values, intensities of interchange and threshold limits of
transformation for finitizing processes) there appears the factor of
2Pi - the radius of a circle - establishing the angular degree of
freedom in the phase dimension. That freedom is calculated as a
uniform probability distribution between zero and 360 degrees, or
2Pi. Void-being appears as "angular uncertainty", installing the
elasticity of a deep variable at the heart of integral quantities.
All factors participating in the crystal architectures of geometry
are zeroed at the locus of their intercourse, as if they could be
summed in transit to mutually cancelling radii of a circle. At the
same time, expressed as angle, the isotropism of zero-reference
symmetry is masked in the operations that inevitably yield non-zero
resultants. The common void-value of parts and processes shows up in
the masked form of an angular slice from that equipotential circle;
it signs in as a variable, the "sliding ring" bestowing the
potential of an indeterminately-elastic shift in phase.
The same principle that fixes the constants of a system in any given
case, bestows the adaptive variability of a basic/unpredictable
value. "Angle" is the signature introduction of nonlinearity, the
very factor which makes all calculation in complex space sensitively
subject to initial conditions, at the same time belies the calculus
of straight-line degradation lending to make of material reality an
apparent one-way flow in the direction of inevitable entropy.
Systems which are essentially non-linear (i.e. the "physical" system
as a whole) are highly interactive, self-organizing and driven
far-from-equilibrium: the conditions of a continuous self-renewal or
basically negentropic (synergic) process. Macro-order "dissipative
structures" which postpone the second law of thermodynamics by
exporting entropy into the environment thus bleeding off
perturbations, reflect the underlying principle on the scale of
atomic oscillators; they belong to the class of secondary evidences.
The same factor that operates in the phenomenon of "clock-doubling"
(i.e. additions in the angular degrees of freedom permitted a
metronome motion etc.) whereby a system may jump in a series of
finite moves to a state of basic unpredictability, accounts for the
sudden puffing of massless particles into massive states, the
inverse predictability of position and velocity, energy and time,
Again, such ambiguities aren't pylons marking the fragile
boundaries of the relative observer- they' re functions of
observer-consciousness, which when drawn into resolving focus state
the deep connection between consciousness and the processes it
calculates. For example, Bearden has been trying to show for years
that calculable properties aren't added to a basic, independent
particle but that the "particle" is constituted by the properties
(implicitly, then, the contrastive measurements made on the particle
are mutually inverse constituents of the particle-might as well ask
for the "real" cube that underlies the fluxing phenomenon of the Necker cube).
The Doonnouse Is Thrown a Curve
Because complex numbers are those inherently separated by angles
other than zero, any such term in spacetime calculations signals the
factor of dimensional hyperangle, i.e. a rotation that operates not
so much within a given dimensional framework but across the
mirroring perpendicular planes marking dimensional horizons.
Curvature is generated by a description of its angular coordinates:
from the "highly curved" quantum foam at the Planck scale to the
spacetime curvature involved in gravity equations of
mass/energy/acceleration, the factor of "infinite uncertainty"
haunts each of the domains of particle physics and spacetime as an
inherent operative of every straight-sum linear "cross-section". At
each moment in the curvilinear history of each system, a boiling
interaction of dimensionally-convergent processes takes place in the
nonlinearity of the hyperangle through which it's generated.
As an example, the linear propagation of sinusoidal waveforms
(familiarly, the signature of c and the proper limits of the lightcone) may be found to have scandalous progenitors. If the
non-linearity of such processes as "clock-doubling" proceed by an
exponent, then the exponential function itself has deep relationship
with the staid periodicity of the sine. First of all, the
exponential and its gradient are uniquely identical; the (e^x) curve
is everywhere equal or proportional to its slope. However the shape
of the periodic sine curve is also closely connected to its own
gradient: plotting the sine-curve gradient produces sin x of 1/4
wavelength displacement to the right, i.e. a cosine curve; the
cosine gradient generates another 1/2 wavelength shift to the right
and in two more gradient operations the original curve is recovered.
When, in complex number equations, x is given as the square root of
a negative on the iy axis, (e^x) becomes a mix of sine/cosine waves;
the straight sum surface of the sine, that impassable c, rides
perpendicularly from the depths of a gradient in complex space.
Modern thinking along the same "line", so to speak, finds countless
ways of apprehending passkeys to the roomy province of uncertainty,
where there's plenty of leisure space and time to stretch between
each blink of the straight-and-narrow;
Hidden within the "linearity" of the smooth curve is the infinitely
irregular scaling of the "Koch-curve", an abruptly squaring dance of
recedingly duplicate arcs (called by the exponent that whips
self-similar systems such as clock-doubling to an indeterminate
Through such wavy carnival mirrors we detect the inevitable
presence of a nonlinear infrastructure making of any, curvilinear
interval a potential juncture in the mutual perpendicularity of
dimensions, a kind of conjugate hotbed for what Bearden and others
have come to call the potential "engineering of the vacuum".
The holographically-recessive snaking upon itself of such a curve
confers "infinite length" (the apotheosis of what it is to be a
"line") since it must touch infinitely many more points than a
regular curve; and that length approaches infinity in proportion as
the length of a given "side" approaches zero. A "line" moving toward
but never becoming a "surface" (owing to its zero-area perimeter)
exists between dimensions (it is said to have fractional
dimensionality). It functions as a doorway between.
Such description reveals one of the deep implications involved in
the "curvilinear self-conformance" of the exponential gradient, the
holographic mirroring and recessive self-similarity of the scaling
factor, the "dust fractal" of the Cantor set hanging in the twilight
between point and line etc.; it discloses a particular product of
what has previously been observed about the character of all
manifesting coordinates "borrowing against" the infinite
self-conformance and absolute uniformity of consciousness, toward "finitizing"
values. The implication involves the very means by which both being
and becoming, formal stability and change are drawn forward into
intimate coexistence as a function of the one standard, value and
noumenon of Consciousness itself.
"What size do you want to be?", the caterpillar asked. "Oh, I'm not
particular as to size", Alice hastily replied.
Extending the implications we've already drawn from the simple
existence of "angle" and "curve", the generation of a curve through
its angular coordinates necessarily smears any inherent
specification of size and radius - i.e. scale - with respect to its
exponents. The very uncertainty of position, velocity, time and
energy belongs to the logarithm of curve and scale. Note for example
that the process of "scaling" reproduces the whole through any
arbitrary interval; this tacitly makes of any, randomly isolated
locus a systemic universe possessing its own "scale variate" (i.e.
the variable factor in probability-distribution). The whole may be
measured, and thus organized, from the vantage of any such locus.
Anywhere in the logarithmic relationship of curve and scale, is the
axis of orientation.
That logarithm itself is spira mirabilis, the miraculous spiral; the
geometric progression of the spiral radius and the arithmetic
progression of its angle, generate all the mutually inverse ratios
required for the musical scales and their tonal intervals, i.e. the
perfect fourth and fifth: again, the fluxing specter of the Necker
cube suggests itself, this time as illustration of the ghostly
manner in which the coordinates of temporality (sound) and
spatiality (spiral) simultaneously mirror and revolve between one
another. Since the coordinate signatures of space and time
counterchange through "spacetime singularities", it becomes evident
that their functional configuration at either side of the divide is
product of the random variable, the axial interposition of that
locus which is its own "scale variate" - i.e. the observer.
The irrational function Phi, corresponding to
the Golden Proportion,
gives the logarithmic spiral as a constant-so that, whereas size and
radius aren't fixed or given absolute values, they are given as
proportional harmonics of angle. The angular intersection sets the
observer-position yielding scale, directional signatures, relative
values of the spacetime vectors etc. This will become very important
to us as we see just how this phantasmagoria of appearance we call a
"world", comes about as it does and how therefore its functional
aspects maybe ordered more to "volitional" specification (i.e.,
"engineering of the vacuum" etc.).
If we understand geometry as an abstract function of consciousness,
it must be equally apparent that this "consciousness" is basically a
transtemporal value. We have no more call to limit it or place it
within the enclosure of some measurable skull, than we have to
assume that "size" inheres as the fixed property of a curve. There's
nothing "personal" in the fact of our uniform capacity to cognize
geometrically-though there may be plenty of personal variation
involved in our mental grasp.
Recognizing this, it becomes possible to perceive the sum potential
of geometrized coordinates as the patterning of Void-mind. In turn
we may identify the combinative potential of patterned harmonics as
a function of psyche; such affine potential within the geometrized
frame necessarily possesses a psychic charge. Before it's ever a
matter of quantified magnitudes exhibiting structurally viable
"valence bonds" etc., the spirit of geometry has affective value for
Geometry is generally conceived as an objective property of measure;
recognized first of all as a function of consciousness, the
understanding follows that its abstract elements comprise the means
by which consciousness comes to itself, identifies its deepest
qualities and potentials in the projective field. As expressions of
consciousness, they signify its adjoin self-interaction unfolding
innate meaning. So intimate a meaning carries forward the
love-identity of consciousness, and therefore generates intrinsic
emotional charge. The features of noetic geometry are at the same
time basic if variable signatures of mood, whereby consciousness
orients itself electrically through the very potential by which it's
Consider an abstraction such as "angle". In the absence of any
content, comparative angles produce spontaneous psychic qualities:
depending on degree of intersection we obtain an immediate sense of
tension, harmony, receptivity, urgency, anger, stolidity etc. with
no necessary object of reference. Imagine the kinds of angles -
acute, obtuse etc.- and their specific slopes which would tend to
fit the above nouns.
As an expression of consciousness, geometry functions on a
multidimensional basis. It operates on the level of noesis; of
mind-pattern; of psychic and emotional formalism as well as
etheric-material configuration. We may again refer to the model of
the sacred polyhedra, the five Pythagorean solids generated one from
the other and mutually implicated by angle and axis, vertices and
planes of bisection.
Each order of generation may (as a simplified schematic) be
considered the correspondent of an emergent dimension of mind, with
respect to its geometrizing levels. At the same time, the
extroverted order of any level implicitly contains the combined
polyhedra, owing to their deep mutuality.
The implicit, dotted-line
"clouds" of polyhedra clustered around the "crystal" of a given
level, function as subtone harmonics of the level (the polyhedral
complex reiterates itself by chordal progression - having been built
out from tetrahedron to the enclosing dodecahedron shell, it may be
"progressed" to a higher order geometry by the cube, star
tetrahedron etc.). The polyhedral complex, and thus the sum of
noetic geometries by analogy, exists explicitly in section or
implicitly as a whole at each "density" of organization.
To understand more vividly how the physical domain "appears" out of
the noetic and psychic properties of Geometric form, the initial
"condition" of the physical field may be conceived as a simple
point-summation of the complex coordinate properties implicit in the
polyhedral "crystal". If such a crystal exists overtly at each,
ontological "level" of being through its specific phase - as if the
tetrahedron corresponded to the noetic level in itself etc.-and
implicitly as a whole through every level (the full potentiality
oscillating in "ghost" form through the phase coordinates of a given
framework) then the "physical" field can be conceived initially as a
distillate, a drop or bindu condensing to a virtual point the
multidimensional whole in conjunction with the most extroverted of
the potential levels (i.e. the phase-level of the dodecahedron).
quivers with life as a locus-of-convergence, summing the infeeding
dimensions through the coordinates specific to its phase- which,
indeed, are plotted by those radiation patterns spacing its tangents
on the perpendicular.
No Particle-ar Place to Go
Such a locus is a virtual being, an ontological entity rather than a
"particle" of specific force or velocity, etc. As an essentially
mnemonic conservation through the transdimensional "turns" of being,
it reinforces itself by continuous reverberative reflection; because
it has no specified "position" in time or space (being the formal
origination-point of physical spacetime) it spreads itself
indefinitely by that self-displacing blink across the "whole" of the
That dimension (the etheric level) may be
considered essentially saturated, in its primary condition, with
mirror multiplications of the basic point-value condensing the
cosmic crystal (cf. Mother Terasu, TNTC No. 5, Dec. '89, p. 8 for a
description of the Creative prototype of this process).
implicitly through the creative whole as a pointillist field without
orientation, direction or discrimination, bereft of privileged
"viewpoint", isotropic to the zero degree. It may be viewed as a
"still" ocean composed of subtly-scintillant scales; it may in fact
be considered the prototype of the "scalar" mode, recognized as an
ontological magnitude at this initial stage.
How then does the "etheric ocean" quicken, come to life and generate
all the forms with which we're physically familiar?
An Astral Quadrille
Remember that each pointillist version of itself concentrates a
total, virtual seed-pattern of the informing dimensions-of-being. It
exists at "right-angles" to the level immediately feeding into it,
just as dodecahedron and isocahedron relate to one another as
mutually inverse reflections across the perpendicular bias. The
dimension or density directly "above" it, is that of the Psychic or
astral state of being.
The astral level of things has its own characteristic geometry. Even
as lines, curves, planes and angles tend to be concealed amid the
scallops and horizon-breaks of the physical level of resolution,
only identified by schematic reconstruction, so they are
correspondingly in evidence at the psychic level; as psychic values,
functions of consciousness in the first place, the formalism of
beings and things appearing in the "astral plane" has only the power
to reveal those construction-patterns, and no power to
constitutionally mask them. The underlying energies may, at the
"astral" degree or density, represent themselves in cognitive terms
as the proper function of a field organized according to the
principle of psychic affinity.
The psychic framework has specific affinity for identifying, and
formally representing in straightforward display, the polygon
properties partaking of its own nature. With slight, educated
adjustment or focal reorientation the identifiable entities of
"physical" features and sensuous silhouette, may be dissolved and
reinterpreted in terms of the geometrizing coordinates through which
their appearances are composed.
At the astral level, then, the geometries with which we've been
concerned begin - without equivocation - at the point of some
initiating "thought", i.e. the motive idea, feeling, mood or desire
generated by an entity, a sentient complex, a group mode of
consciousness or source-self (all such beings as a whole - and in
each of their subdivisions - sharing an astral component and, as
such, comprising intrinsic expressions of the formative domain).
The essential, ideoform pressure toward exteriorizing the types or
qualities, patterns or modes alluringly present as the potential of
the geometrizing fields, begins as a burgeoning "bindu" or dot of
emanation; the seed-point polarizes into a fluxing webwork of
interconnected lines rapidly acquiring the characteristic curves,
angles and axes belonging to units of polygon processes (and
clusters of such units cohering along the astral "grain" of formal
The structures that result from the initiating thought-force vary in
strength, intensity and durability. According to the degree and
quality of concentration, reinforcement, repetition, self-similarity
and correlative support from consonant structures, the resultant
pattern will exhibit delicacy, wobble, balance or imbalance.
geometrized energy-forms decompose swiftly, and contribute their
elements to other compounds percolating up through the psychic
atmosphere; some persist in close formation with consonant patterns
that resonantly reinforce the basic "grain" of the structure. Some
are so significantly supported by probabilistic reiterations of
themselves that the overlapping, self-consonant lines and
reinforcing flow-channels amalgamate the contributory elements,
fusing them so tightly in integral "bundles" of patterning
energy-systems that the whole appears as a seamless entity, a
durable "thought-structure" possessing coherent, crystal line lines
and self-stabilizing facets.
These reinforced patterns or
quasi-permanent structures etched in "astral matter", play
particularly significant roles in the ordering of the
etheric-material field - which arises, by implication, at virtual
"right-angles" to the psychic dimension.
What does the etheric-material medium "look like", with respect to
the swarming clouds and electric clusters of energy-activity
appearing dimensionally "above" it, and reflected onto its surface?
A Storm at c
First, we recall that the etheric-material medium was -
descriptively - a reverberative field of mutually displacing and
self-multiplying point-predications, ontological "loci" or condensed
seed-states summing the geometries implied through all the
projective coordinates belonging to the preceding fields - or
conscious dimensions - "above" and at right angles to it. The energy
clusters and psychic patterns taking form through individual
thoughts and collective states of consciousness, belonging both to
personal and cosmic scales of resolution (for all beings, places and
things converge through the locus of the astral field) exist in
relation to the perpendicular plane of the etheric as angles. All
the energy-activity and hives of self-organization belonging to the
Psychic dimension, enter into and have their effect upon the
etheric-material field in the form of angular intersection.
An organizational state at the psychic level appearing as a rainbow
fountain, a shimmering serpent-flow, or conversely as a densely
consolidated crystal or stably-volumetric beehive, in every case
enters into influential relation with the etheric field according to
the value of its summary angle of entry. The shape, strength,
durability, globally reinforced balance and basic intensity of the
geometrized pattern at the psychic level, determines the value
assigned that - characteristic - angle of entry.
And how does that astral energy-pattern, summed through its
characteristic "angle", produce an effect in the material medium?
Recall that the pointillist field of the etheric-material stratum,
stretched through its "being" like a boundless expanse of ocean.
With that analogy, the angular intersection produced by all the
patterns swarming above and precipitating from the astral "heaven"
may be thought of as pelting that perpendicular, oceanic surface as
so much "rain". Just as lightning and rain come down in varying
angles, at varying degrees of intensity producing varying stresses
in the materials on which they're shed, so also the angulated sleet
of energies pouring from the variegated patterns at the astral level
strikes the pointillist field of the "ether" and agitates its
The varying strengths, stabilities and intensities of energy-pattern
from the Psychic "sky", touch the oceanic bosom of etheric-material
substance generating ripples and agitated eddies of corresponding
magnitude, virtual "notes" of differing tones that play over the
surface. What is being agitated by these angular intersections, is
the uniform potential contained as "coded" summary in the etheric
The plenum of angles, axes, coordinate hookups and integral
harmonics distilled from and implied in the antecedent geometries of
the conscious dimensions "above", abides within each ontological
"point". Such a point is, in keeping with conscious value, an
essential zero-point; for no preferred pattern intrinsically claims
the bias of those internal coordinate domains.
In themselves they're
maximally potential, as if within the point abided a "dust" of
points clustering in supersaturated symmetry from any angle (no
angle being preferred, no perspective given); the connective "lines"
that would constitute the crystallization-of-pattern being virtually
absent. It is the homogenous equipotentiality within each point, and
obtaining by implication amongst the points, that is disturbed,
quietly agitated by the precipitation of angulated "energy-matter"
The "ripples" which such agitation produces, do not serve to "move"
the points themselves; vectorial displacement isn't implied because
these points represent ontological potential. The disturbance is one
of intensity, not direction, though we can visualize this activity
as a vectorial displacement from each pointillist "center" in an
expanding network of interference.
The "waves" of agitation as the
angulated energy-patterns influence the smooth "sheet" of etheric
substance, exhibit respective amplitudes which are therefore
functions of intensity, measures of strength and relative balance;
the pattern of disturbance which propagates at each point and from
point to point through the field of points, is not so much a motion
of the medium as an indicator of fluxing intensities, states of
ontological stress alternately influencing and affecting the various
The "motion" is illusory, but propagates an influence
orthogonally, in the same way that there appears to be real vectorial motion in the on/off blinking of a succession of neon
The more random, imbalanced or loosely integrated energy-patterns
from the astral field, therefore produce corresponding angulated
stress in the pointillist medium of the ether exhibiting destructive
interference of progressively degraded amplitudes. The general
randomness of sources spread through the psychic field, produces an
overall etheric topography fed by Fingers of reticulating
dispersion; punctuating and recohering the states of many of these
venous networks, there appear certain "zones" at which highly
integrated, intensified and balanced energy-configurations intersect
the horizontal plane of the ether.
The "angles" produced through these significant junctures may be
considered maximally compensated; they belong to orders of
energy-organization that are geometrically coherent, highly
isometric or globally stabilized, and so in effect tend to inscribe
a probabilistic-repetition pattern on the horizontal axis maximizing
the angular imprint in a sweeping rotation; this process may indeed
be considered the work of the Masonic "calipers" and "compasses",
whereby spirit-energy sets the angle, marks the area, inscribes the
optimum circle where certain geometries of allowable
phase-transitions are "decreed" as the functional terms of a
physically perceptible world.
At these ontological "regions" across the surface of the etheric
field, coherently aligned and self-reinforcing arcs of steady
circumference highlight intensified potential of the pointillist
domains. In the phase-intersections of these arcs, the random
ripples of pulsatory excitation playing through the points like
arbitrary notes give way to sustained chords; the broken potentials
even out into a stable resonance.
The virtual circumference defining a probabilistic area in the
etheric field, at a threshold degree of intensity polarizes the
flow-lines of specific axes from the equipolential point domains.
The angular obliquity at which the arcs are inscribed through the
parallel points determines the special state of the axial
coordinates. Such mutually perpendicular axes demarcate the
functional lines of stress suddenly crystallized within the dot-like
"dust" of the given point locus, ordering its interior as a faceted
whole of planes and permissible angles. At the same time, the stable
internal resonances fixed through the axial lines, couple to all
point-domains of parallel resonance-the initial "distance" of such
points in the etheric medium is nil, since their duplicate
ontological state in the beginning allows for no such distinction.
Thus regardless the vibratory states of all "surrounding" points,
those of parallel resonance immediately couple and produce an
integral macro-pattern across the total field. Such a process allows
for an indeterminate number of overall, crystallized patterns
(elicited from the infrastructural potential of each point and
projected upon the exterior correlation of point-domains as a
Thus, while each such potentiated
world-pattern in the etheric field seems to vibrate in and through
all the others, like cards in a randomly shuffled deck, their unique
axes of coordinate alignment conserve a discrete integrity. They do
not interfere; their independent, axial alignments may bear greater
or lesser harmonic relations with any other set, thereby
establishing the potentials of transition amongst them. Where such
patterns are distinctly polarized from the general field, there is
then established a kind of secondary "distance"; such distances at
this level however aren't judged spatially but as ontic value; they
mark degrees of similarity and difference.
And what are these polarized patterns, produced by the more
globally-harmonic intersections of the angular axes generated by
forms of the astral field? Such patterns, elicited as states of
virtual intensity, describe the general coordinates of probable
worlds in material terms. Thus they bear intimate relation to the
psychic typologies ordered in the astral medium as emotionally
"geometrized" resonances. They're implicitly informed by those
typologies. They are, therefore, vehicular potentials outlining the
structural states through which affine values of polarized property
enact specific, coupling-coefficients (as means of carrying through
the panoply of implication contained in the initiating, abstract
They represent a summary, logical
universe of coinvolved characteristics, each implicated in the other
and all forming a quasi-"closed" system - i.e., a universe in which
"horse" may arise, suggests a supportive matrix of stales,
conditions, terms and potentialities indefinitely extensive and
variable along its own lines, but producing a quite specific filler
blocking out alternative worlds of incompatible elements.
"One side of what? The other side of what?", thought Alice to
At this stage, the regular patterns drawn forward through the
pointillist field offer a general scheme of differentiated
subdivisions; they possess distinct, crystallized internal
"structure". Such structure is not, at this level, assigned
directional arrows. It warrants no vectorial indicators or
preferential flow-channels in itself, and marks out no special zones
of spacetime orientation. The phase-differentials which its facets
outline are purely noetic; they give the values of ratios, rates,
rhythms and harmonies; the spaces they define are abstract spaces,
and all magnitudes are mirrored in a static isotropism. At the same
time, all such patterns appear indiscriminately, there's nothing
inherent at this stage to "recommend" one over the other, or set
specific wheels in motion.
In this sense, their state is analogous to the quandary that
"superstring" physics presents the current investigator: there are
many possible matrix groups that solve for the assigned values of
superstring - is their selection arbitrary, or is there one pattern
that ultimately sifts out from the rest as uniquely suitable?
How then, at this level, does a particular pattern become
distinguished, and acquire the vectorial properties as well as
directional indicators that characterize "real" systems? At the
present stage of the description, all strongly polarized patterns
appear like similar, opalescent bubbles floating over the
pointillist field. Each such bubble, looked at in its initial
isometry and abstract rotational invariance (i.e. without as yet any
preferential position, privileged perspective or fixed viewpoint)
outlines a broad potential of states and phases. In its drifting
abstraction it "allows" for innumerable alternative organizations
taken from the same general structures, without distinction amongst
Again, this phase is analogous to the
potential outlined in super-symmetry theories before the upsurge of
"broken gauge fields", where particles and their super-partners
coexist and counterchange non-preferentially, possess equal
"validity" outside the delimiting "gauge" framework, and in
themselves give no clue as to how the perceptible world based on
"preferred" arrays of particles might arise. We find ourselves, in
other words, back to our initial question re "what accounts for the
appearance of qualifying functions?"
"Then it doesn't matter which way you walk," said the Cat. " - so
long as I get somewhere," Alice added.
And it is here we affirm the intimate relation of all such patterns
with the conscious axis. The "mechanism" is simply this: the
implicit presence of the multidimensional, conscious axis, which we
assume throughout as the agent and common denominator of all
polarized processes and geometrized fields, takes specific focus
through the surplus potential of the etheric level.
That "axis" may be conceived in terms of individuated frameworks of
consciousness or group forms of consciousness; it may be conceived
as emanations of a super-source Psyche or as isolated expression of
some exploratory, "maverick" projection: therefore it doesn't matter
whether we conceive of it in terms of a single-soul cycle of
embodiment ("descending" in dips between bookend, afterlife phases),
or as the saga of a life-wave of incarnating consciousness,
establishing the collective terms of living through a specific
field. The multidimensional, pleromatic Line of consciousness (cf.
"What Is Christ Consciousness?", issues 5, 6, and 10 TNTC) comprises
a vertical axis extending through all polarized planes issued from
its common juncture, and variably focused through a sliding ring of
That axis may therefore be focused through, aligned with and so
entered into the matrix of potential producing etheric-material
existence (consistent with the harmonics of a given pattern).
Depending on the angle of intersection with respect to the
rotational axes of a given pattern, that pattern will acquire a
specific plane of polarization. That plane remains globally
symmetric at this next stage, in terms of the abstract space it
defines; but the fateful insertion of the vertical axis at a
particular "angle" of orientation, now introduces a factor of
"rotational English" or topspin - the internal, subdividing axes of
the "static" pattern are polarized to the conscious angle of
intersection and so acquire a bias of "internal tension".
Along the lines of that tension, directional arrows commence a
"flow". The polarization of vectorial flow symmetrically about all
"axes" of the given pattern simultaneously, induces a vigorous
non-linear interaction. All possible vectors and directions with
their "phase conjugates", are given at once. In this way the
vertical conscious axis (singular or collective) aligns the
geometric coordinates of the pattern to which it was specifically
magnetized by "type", to a common referent; the displacement of all
projections at once toward that common referent, generates complex
nonlinear infrastructures of maximum vectorial diversification
consistent with the allowable lines of axial polarization,
At this point, then, in the "integration of the conscious axis" with
its psychically selected pattern, we have polarized flows of space
and time, velocity and relative position, but all allowable
trajectories of space, time, velocity and position are given; all
the possible "pasts" and "presents", places and things cascade
through the interconnecting ducts. An internal multidimensionality
factors out at this stage producing polar rotations of complex,
nonlinear vectors ("soliton moments" or virtual vortices) in a
turbulence that spans, and may be indexed within, the complex
dimensional spaces themselves.
At the same time, however, the vertical "descent" of the conscious
axis into the manifest field is enacted through a progressive focus.
The whole, axial Line is represented by and summed to a coordinate
point, produced in the triangulation of internal cognitive stales
and planes; the whole of the being in its mental, psychic and
emotional phases is "turned" toward the field of structural
integration furnishing a test vehicle for the combinative values of
those states. In relation to the preferred, etheric-material
pattern, the transdimensional line of the conscious axis converges
all its psychic domains upon a compound point locus.
That point locus establishes the perspectival intersection, through
multi-dimensional alignments, of the sum vertical axis. Since it
produces a "convention" of orientation with respect to the globally
invariant pattern, the point-locus necessarily appears at virtual
right angles to the internal dimensions of that pattern.
This is where we first encounter the standard "zero-sum" scalar
field of Bearden and others (you'll recall that the scalar field
possesses an internal structure of varying vector potentials
converging and canceling as a whole to zero, through the
discontinuous point magnitude of that field). It's possible from the
initiated perspective to understand just what the "scalar field" is,
rather than deducing its presence and accepting it ad hoc from
experimental evidences - similarly, all fields and forces appear as
"interesting" structures disclosed through practical requirements
but otherwise bewilderingly arbitrary, until their functional terms
are understood with respect to their conscious reference.
It will be noted first of all, of course, that initiated
understanding confirms the presence of some such "entity" as the
scalar field. But it recognizes that its intercepted level states
the function of the point locus, the distilled bindu of the
conscious axis (without dimension, extension, direction or
amplitude, being simply the coordinate presence of that axis in its
integral agreement with physical-field harmonics).
Since that point-locus is not specified
by extension, dimensionality or amplitude, its integral
phase-relation with the sum of states and planes places certain
general requirements on its coordinate function. It therefore
diffuses, as a presence, through the "scalar" field which it
defines. (The scalar value of the field, then, takes its character
from the simple presence of that point-locus.) Though that presence
is not defined by or locatable through internal dimensional
coordinates, all dimensions of the given pattern are defined by an
orthogonal rotation with respect to it. Implicitly, the
multidimensional nonlinear vortex-states become referenced through
it by virtue of its inherent self-reference.
In relation to the total pattern, the point-locus generalizes as a
universal matrix of pointillist potential thus reiterating the
mechanics of the "point" as characterized through other phases. As
an operative, it collects the axial projections of all changing
stress-vectors of the soliton moments contributing varying
intensities and magnitudes - evened overall - at the loci of
The "point"-representing the presence of
consciousness-accepts, sums-to-zero and releases through its
void-radix the totality of mutually displacing, globally adjusting
stress-vectors flowing through the multidimensional pattern in
continuous computation of its overall symmetry. Each such locus
collects the coordinate projection values at a slightly shifted
angle, so each is comprised of mutually displaced stress-emphases.
The relative "position" where each cancels, is therefore slightly
different, since each scalar moment takes the sum "thrust" of
varying values at its independent point of collection.
The perpendicular "cross-hairs" of mergence and emergence, reception
and release through the Sea of Holes polarize vacuum states of
alternately plus and minus values, around the scalar moment. The
point-locus itself is the juncture of cancellation, resolving those
values; as a "portal of entry", however, it acts as a door with plus
and minus markings clearly separated between "front" and "back".
Such polarization produces a flux around each scalar moment,
combinatively generating a highly agitated environment amongst the
mutually offset points-a "syrup" or thick medium in which the points
come densely packed.
The channels of reception and release are comparatively non-uniform
in the scalar field. But this produces a real agitation of the
field. The "breathing" pattern of the medium, in and out through its
perpendicular flow axes, ripples irregular surfaces where the
polarized tensor and compressive jets around the scalar "gill-slits"
bunch up, crowd in oblique convergence and commence circling around
their counter-posed fronts.
The pulsatory sets, fields and whirling backwaters of these waves
comprise a longitudinal framework of propagation with respect to the
in-feeding dimensions around the scalar moments. They are
vector-waves of compression and rarefaction, set up by oppositional
jets in a polarized vacuum. The pointillist, zero-sum referents of
the conscious locus make up the purely scalar "material" of these
vectors. Such longitudinal vectors are the extensions, at mutual
right-angles, of selective flows and contributing stresses of the
multidimensional vortex-fields (amounting, over all, to a zero-sum
symmetry giving the value of the Pattern as a whole).
In this way we see that pulsatory flow-channels through the
pointillist field at right-angles to the multidimensional, soliton
geometries, is the equivalent of a longitudinal wave. Longitudinal
fields are those associated with the propagation of sound, and
sound-waves are highly organizational, patterning states. The
process of incarnation (whereby that summary point-locus is
established with respect to the physical field) is descriptively
recounted as a phenomenal transition between predominantly visionary
states, and those that are progressively saturated in a
sound-quality that closes over the enchanted entity like rushing
In order to understand how the material field is polarized out from
the equipotential symmetry of the total pattern, we'll focus on the
states of the longitudinal or "sound" field given to opposing wave
fronts. The runoff from scalar-wave pulsations not coherently
counter-posed, is equivalent of the random flux in the zero point
vacuum-which, familiarly, is non-thermal (without friction) owing to
the absence of atomic oscillators at that level of resolution.
As we'll see, the electron and all
associated matter-waves of the familiar field are polarized out by a
process of "dimensional rotation", with respect to the point-locus
of the "scalar field"; the runoff of that field intercepted as "flux
in the vacuum", is non-thermal until its interaction with matter at
which point it may be detected as a nonlinear amplification of
mass-energy, becoming translated-by the required dimensional
rotation -as entropic waves patterned by mass-matter.
In this way it becomes possible to
comprehend radiant energy within our standard framework, as a
specialized function of the integral patterning of mass-matter
according to its "local" geometry; "Light" as it's commonly known
may be thought of as a stylized adaptation, tailored to such
geometry and functioning through the dimensional constraints of the
system rather than as an "absolute" giving the independent limit of
It also becomes possible to envision
radiant energy as persisting in Hertzian or transverse waveform
throughout conventional space, without lapsing unseen, out of range
of material detectors, into scalar dust longitudinally displaced
across the spatial vacuum a la Bearden; it's not that it "may
not" - it's just that, by
Occam's razor, we don't need it, since the
physical field of organization is transversely polarized in the
first place with respect to the "ether" (or the true vacuum-space of
the scalar field); Hertzian waves, as function of the geometrical
configuration of mass-matter in our "local" framework may propagate
through endless "space" and yet not in themselves leave that
framework, traveling a continuum uniformly perpendicular to the
field into which they're supposed to "dissolve" (as if they merged
together along the same plane).