Unifying Topology of Fractal Fields
Quantization of Planck Scale Space-Time + sub-Planck Phase Space
Evolving consciousness units [PDF]
"Unlike Euclidean and more recent geometries, ancient geometry rests on no a priori axioms.
Ancient geometric thought is not a set of intellectual or abstract definitions, but a meditation upon the methaphysical Unity.
Ancient Geometry begins with One, whereas modern geometry begins with Zero.
We could define Golden Math, or Sacred Math, as the mathematics that naturally arise from the study of Unity."
This section reviews new physics and the Planck scale phase space substructure -
the fabric-garment of space-time -
The shadow matter universe is a supersymmetric plasma - (a1 - z26) "phase conjugate matter waves" = 292 = "golden rhombi tessellations"
Fibonacci scaled golden rhombi tessellations, centralized fractal scaled symmetries offer maximum degrees of freedom and cause accelerative implosion
- (a1 - z26) "recursive wave interference" = 293 = "fractal rhombic structures"
Most people understand "dimensions" to mean height, width, depth and time, but in Mathematics the term
is also used flexibly to describe the number of parameters needed to specify a "state" for any given problem.
The more complicated the problem in question, the greater the space you need to express the parameters.
They therefore become "high-dimensional spaces".
Jay Alfred - Holographic Projections: The distinguished physicist, Roger Penrose, notes that Science seems to be driven to deduce that if mass-energy is to be located at all, it must be in flat empty space - a region completely free of matter or fields of any kind! In these curious circumstances, he says, matter is either there or nowhere at all. This is a paradox. Yet, it is a definite implication of what our best theories are telling us about the 'real' material of our world, he says. Michael Talbot says that creating the illusion that things are located where they are not is the quintessential feature of a hologram. This is because the hologram is a virtual image. In a holographic universe, location is itself an illusion. Just as an image of an apple has no specific location on a piece of holographic film; in a universe that is organised holographically things and objects have no definite location. Holographic images are generated from the constructive interference of two waves of coherent light. All the information about a 3-dimensional holographic object is captured in a 2d flat holographic template embedded with the interference pattern. The image of the object or any semblance of the image cannot be located on the flat holographic template. If the flat holographic template is broken into many pieces - each piece will still be able to generate a 3-dimensional hologram - although the image would not be as clear as when all the pieces are used.
Recursive golden rhombohedral wavelengths - the fractal dimension of quantum space-time.
Five fold symmetries, their axes rotations and internal reciprocal symmetries (isoEuclidean isogeometries),
are most likely the 3D analog underlying the fabric of Space-time.
A quasicrystalline spacetime algorithm (continuously and discretely self similar).
SubPlanck phase space built on five fold symmetries, a plenum of
phi scaled golden rhombi rhombohedra.
Icosahedral crystal cell (rhombic hexeconta) reproduction and crystal face propagation in quasicrystal
melts is coherent, simultaneous, and synonymous if not equivalent to, thermal photon reproduction and wavefront propagation.
The Icosahedral crystal unit-cell production, growth geometry, and crystal face propagation is identical in process with,
and simultaneous & synonymous with, photon emission and wavefront propagation, in quasicrystal melts.
Photon emissions from human brain (Dotta BT1, Buckner CA, Lafrenie RM, Persinger MA)
"Light flashes delivered to one aggregate of cells evoked increased photon emission in another
aggregate of cells maintained in the dark in another room if both aggregates shared the same
temporospatial configuration of changing rate, circular magnetic fields. During the presentation
of the same shared circumcerebral magnetic fields increases in photon emission occurred beside
the heads of human volunteers if others in another room saw light flashes."
Waves are usually disturbance in space/time that carry energy. They obey wave equations.
The kind of QM we're talking about here is where you can describe particles as waves as well as tiny "bits" of something.
Fields are things that exist over all space and time and which can be assigned a value at every point.
They generally are associated with forces.
For example, classical gravity or electromagnetism can be described as gravitational or electromagnetic fields.
Fields can classically give rise to waves and quantum mechanically they can also be described as particles.
Tunneling is a property of waves, so that quantum wave/particles and classical electromagnetic waves can both tunnel.
Below a single tiling of golden rhombi (animation by Mark Rohrbaugh) voids.
A. M. Selvam, Deputy Director, Indian Institute of Tropical Meteorology: fractals, space-time fluctuations, self-organized criticality, quasicrystalline structure, quantum-like chaos
1. Introduction- Long-range space-time correlations, manifested as the selfsimilar fractal geometry to the spatial pattern, concomitant with inverse power law form for power spectra of space-time fluctuations are generic to spatially extended dynamical systems in nature and are
identified as signatures of self-organized criticality. A representative example is the selfsimilar fractal geometry of His-Purkinje system
whose electrical impulses govern the interbeat interval of the heart. The spectrum of interbeat intervals exhibits a broadband inverse power law form 'fa' where 'f' is the frequency and 'a' the exponent. Self-organized criticality implies non-local connections in space and time, i.e., long-term memory of short-term spatial fluctuations in the extended dynamical system that acts as a unified whole communicating network.
2.3 Quasicrystalline structure: The flow structure consists of an overall logarithmic spiral trajectory with Fibonacci winding number and quasiperiodic Penrose tiling pattern for internal structure (Fig.1). Primary perturbation ORO (Fig.1) of time period T generates return circulation OR1RO which, in turn, generates successively larger circulations OR1R2, OR2R3, OR3R4, OR4R5, etc., such that the successive radii form the Fibonacci mathematical number series, i.e., OR1/ORO= OR2/OR1 = .= t where t is the golden mean equal to (1+ 5)/2 1.618. The flow structure therefore consists of a nested continuum of vortices, i.e., vortices within vortices.
Figure 1: The quasiperiodic Penrose tiling pattern which forms the internal
structure at large eddy circulations...￼
The quasiperiodic Penrose tiling pattern with five-fold symmetry has been identified as quasicrystalline structure in condensed matter physics (Janssen, 1988). The self-organized large eddy growth dynamics, therefore, spontaneously generates an internal structure with the five-fold symmetry of the dodecahedron, which is referred to as the icosahedral symmetry, e.g., the geodesic dome devised by Buckminster Fuller. Incidentally, the pentagonal dodecahedron is, after the helix, nature's second favourite structure (Stevens, 1974). Recently the carbon macromolecule C60, formed by condensation from a carbon vapour jet, was found to exhibit the icosahedral symmetry of the closed soccer ball and has been named Buckminsterfullerene or footballene (Curl and Smalley, 1991). Selforganized quasicrystalline pattern formation therefore exists at the molecular level also and may result in condensation of specific biochemical structures in biological media. Logarithmic spiral formation with Fibonacci winding number and five-fold symmetry possess maximum packing efficiency for component parts and are manifested strikingly in Phyllotaxis (Jean, 1992a,b; 1994) and is common to nature (Stevens, 1974; Tarasov, 1986).
Conclusion: The important conclusions of this study are as follows:
(1) the frequency distribution of bases A, C, G,T per 10bp in chromosome Y DNA exhibit selfsimilar fractal fluctuations which follow the universal inverse power law form of the statistical normal distribution, a signature of quantumlike chaos.
(2) Quantumlike chaos indicates long-range spatial correlations or ‘memory’ inherent to the self- organized fuzzy logic network of the quasiperiodic Penrose tiling pattern (Fig.1).
(3) Such non-local connections indicate that coding exons together with non-coding introns contribute to the effective functioning of the DNA molecule as a unified whole. Recent studies indicate that mutations in introns introduce adverse genetic defects (Cohen, 2002).
(4) The space filling quasiperiodic Penrose tiling pattern provides maximum packing efficiency for the DNA molecule inside the chromosome.
Golden Rhombi quantize to golden ratio tetrahedral building blocks
Researchers at the University of Cambridge propose a new simplified method that effectively calculates higher-dimensions.
What they find comes to no surprise to researchers of unified physics, as for their calculations to be simplified they have to think in volumes.
Golden ratio scaled phi tetrahedral building blocks model recursive reverse-time reconstructions, and subPlanck phase space (highest fidelity teleportation), demonstrating densest negentropic packing, this plenum reveals power spectra dynamics across scale from SubPlanck, and along with the rotations & overlays of five-fold symmetry axes define quantum mechanics. Fibonacci scaled Phason vectors stretch throughout the quasicrystalline patterns, providing maximum degrees of freedom with hinge variabilities, creating multi-causal non-local
quantum gravity effects [300 x light speed], which Dan Winter calls a phase conjugate mirror.
Micro-PSI investorgator Geoff Hodson, shares his observations of the ether/plasma torus the Anu or UPA and 'free' particles (definable voxel voids) that we model as golden tetrahedra which bond together to make golden rhombic structures (voxel void fluctuations) and a volumetric golden ratio spiral that nests perfectly into the stellating dodeca-icosa-dodeca scaffolding waveguide of fractal implosion.
"The sight I have of these objects is, I think, improved from the earlier observations (Geoff is referring to Leadbeater & Besant). They're surrounded by a field of spinning particles going round them. The one I've got hold of is like a spinning top — the old-fashioned spinning top, but imagine that with (spinning rapidly) a mist or field round it of at least half its own dimension, of particles spinning in the same direction much smaller than itself. The Anu is not only the heart-shaped corrugated form that I have described, it is the centre of a great deal of energy and activity and within it. Outside it, as I have said, there's this rushing flood of particles, the corrugations themselves are alive with energy and some of it is escaping — not all of it, but some of it, and this gives it a tremendously dynamic look. Inside, it's almost like a furnace, it is like a furnace (I don't mean in heat) of boiling activity — organised by the bye, yes, in some form of spiral fashion admittedly, but there's a great deal of activity of free, minuter particles."
E8 is a 248 dimensional surface, called a Lie group - the Gosset Polytope maps the 240 root vectors.
Each different direction on the surface corresponds to a different kind of elementary particle that can exist.
For example, one kind of particle is an electron, which actually has eight different varieties: left or right handed, spin up or spin down, and particle or anti-particle.
These correspond to eight different directions inside E8. The directions, inside the E8 surface all twist around each other.
You can plot the number of twists around several different internal directions at once, corresponding to different kinds of charge that particles have,
including electric charge, weak charge, strong charge, and spin. Each kind of elementary particle corresponds to a different direction in E8,
with different twist numbers.
"The disdyakis triacontahedron is the simplest polyhedron that embodies the group-theoretical parameters of the E8×E8
heterotic superstring. Containing 480 tetractys the disdyakis represents the basic unit of physical matter." Stephen Phillips. This is great news for those seeking to understand E8xE8 logic, as the disdyakis is its 3D analog.
Lynnclaire Dennis found this also with her disdyakis based Mereon Matrix.
We broke down the disdyakis into 240 (E8 again) prime golden ratio tetrahedra (120 Φ + 120Φ2), providing 240 golden voxels, with their isoduals in virtual space there are 480.
[In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n].
Alphanumeric cross referencing (a1 - z26)
space-time manifold = 165 = unified fractal field = triacontahedron = quasicrystal
topology of the rhombic triacontahedron
Researcher Stephen Phillips "The 120-cell is the only polychoron that is built from a number of geometrical elements that exceeds 16800, it is the only one that could embody this superstring structural parameter, namely, the number of turns in the 10 helical whorls of the UPA/E8×E8 heterotic superstring.
UPA - ultimate physical atom
A subset of the geometrical elements in the 120-cell has a division: 1680 = 720 + 240 + 720. Uniquely among the polychorons, the 120-cell (rendering 120) therefore embodies the 16800 turns of the 10 whorls of the UPA.
Importantly Phillips also shows the 62 vertices of the disdyakis triacontahedron with 180 edges are joined to its centre and the resulting 180 internal triangles [our phi ratio tetrahedra] turned into Type A triangles, 1680 corners, sides & triangles in its faces and interior surround an axis passing through any two diametrically opposite vertices. They comprise (60+180=240) vertices & edges and 1440 corners (720 in each half of the polyhedron)."
The UPA/E8xE8 - 4D analogue is the 120 Cell, while the 3D analogue is the disdyakis.
Phillips summaries; "The E8-240 vector “Gosset polytope" is made up of 2 x 600cells [phi scaled] and half of the disdyakis triacontahedron is the 3-dimensional analogue of one 600-cell. The Gosset polytope (whose vertices represent the roots of the symmetry group E8 describing all its forces other than gravity) can be regarded as an 8D-polytope analogue of the disdyakis triacontahedron which embodies the number of edges of the 421 polytope. What is crucial to recognize is that the highly mathematical, hyper-dimensional objects that are being discovered to underpin E8×E8 heterotic superstring physics have their exact parallels in the sacred geometries of mystical traditions and ancient philosophies. Why? Because they represent the same thing."
We have shown the disdyakis is constructed from two groups of 120 golden E tetra (Φ & Φ2), 240 in total, they being 3D analogues of events happening with the E8 Gosset. Golden tetra discoverer David Koski adds "If a rhombic triacontahedron has 120 next size down E modules placed on all 120 surfaces (making the disdyakis), its volume will be that of the related same size rhombic hexecontahedron."
The rhombic hexeconta contains 480 E tetra mapping both E8 & E8' and an extra 120 'W' phi tetra, yet to be accounted for.
We endeavour to develop a working hypothesis using quasicrystalline modelling in real space, along the lines of Donald Casper & Eric Fontano, their paper Five-fold symmetry in crystalline quasicrystal lattices: "Quasicrystal structures have been represented as projections into two- or three-dimensional space from periodic models in five- or six-dimensional space. For example, such procedures have been applied by Steurer and his colleagues to calculate five-dimensional Fourier maps from three-dimensional x-ray diffraction patterns of decagonal-phase aluminum-transition metal alloy quasicrystals. Projections from these physically abstract five-dimensional constructs produce real space maps, which show correlations with the crystallographically determined atomic arrangements in related periodically ordered alloys. For a crystallographer, a crystal is like an orderly forest that is useful for determining the average structure of the trees. The repeating unit may be a clump of trees related by noncrystallographic symmetry or constrained to grow in non-equivalent configurations. These complexities can aid the crystallographer in seeing the trees more clearly. Quasicrystallographers have, however, had difficulty seeing the trees for the forest. The aperiodic space-filling and periodic higher dimensional representations of quasicrystalline forests are mathematically elegant, but these abstractions have tended to obscure sight of the trees. It is evident that these atomic trees are locally ordered in clusters, which are arranged quasiperiodically.
The success of this five-dimensional quasicrystallographic analysis suggests that, because the diffraction data is only observable in three-dimensional reciprocal space, more conventional crystallographic analysis might be applied to refine real space models of the atomic arrangements in these quasicrystals." Conclusion: "We have demonstrated that in the decagonal quasicrystalline realm the Emperor need not wear five-dimensionally quilted quasiclothes, and we surmise that similar six-dimensional garments will prove to be unnecessary in the icosahedral quasicrystalline domain."
The disdyakis triaconta's internal phi tetra's equal the elements of Gosset Polytope.
Stephen Phillips adds "Many previous articles by the author have accumulated evidence that the disdyakis triacontahedron is the single, polyhedral form of the inner Tree of Life (or, more generally, the universal blueprint governing holistic systems). The five Platonic solids, too, are its polyhedral form, but only collectively, not in any individual sense. The disdyakis triacontahedron should be seen as their apotheosis, containing all those types of information that exist separately in individual members of the mathematically complete set of regular polyhedra."
Electrical engineer Dan Winter has shown scaling to be exact phi Φ ratio based upon the Planck minimum.
Our biology, bio-photonic quasicrystalline matrices & the quasicrystalline 'Aetheric' scaffolding from macro
to subPlanck are naturally scaled by powers of Φ ratio, quantization is powers of phi or Fibonacci.
Carl Munck : Made a list of these numbers (quasicrstalline angles / Mayan Time-Space. He drew in sine waves connecting the numbers, which seemed to be suggested by their logic. He noted the consistent differences between the various numbers in the top two rows of 36 and 144, such as 108 - 72 = 36 and 252 - 108 = 144. The differences between the bottom rows are 108 and 72, such as 144 - 36 = 108; and 216 - 144 = 72.
The suggestion of sine waves, Carl said, is very, very obvious. Did the ancients know about sine waves? Did they have oscilloscopes? Were they suggesting a certain frequency?
Carl figured a certain logic was demanded by these numbers, so he arranged them into two separate scales, organizing them by their tangents, and marking the numbers that came from the ancient systems with asterisks (*), and filling in the "blanks," with appropriate numbers, something like this:
Quasicrystalline structures are inherently non-local.
For example, a change in one part of the QC changes other parts of the QC instantly, regardless of the distance.
Here we can isolate the 3D Rhombic Hexecontahedron from the 2D Penrose tilings.
Advanced social memory complexes and the creative process - Cosmic Paths
Helena Blavatsky's sixth & seventh Aethers.
Walter Russell’s Light waves (6th ether) by Alan Hayes "Imagine a pool cue 98 million miles long and extended between the Earth and the Sun. The instance the cue butt is moved the tip of the cue will respond. This is how longitudinal waves operate and they 'travel' instantly (domino effect)."
Due to the 98,000,000 miles (between Sun & Earth) being divided by frequency of light on Earth, it appears (if we think light is traveling), that 'light' has 'taken' 8min to 'arrive' from the Sun.
Alan expands 'imagine a salt particle dissolving in fresh water, the water is now fully salty, this is how light/Sun and space are the same 'substance or wave', yet at different frequencies.
Victor Schauberger developed longitudinal pipes. Constructed upon golden ratio they would show the dynamics involved in instantaneous transmission.
Alphanumerics (a=1 - z=26), letters, form words-interact directly with space-time…...
*Quantum space-time*=198=*the unified fractal field*=*the Triacontahedron*=198.
Even more astounding, Bucky Fuller modelled the rhombic Triacontahedron as a photonic quasicrystal with sub-volumes, 'E' Quanta modules [Φ] tetra, or one quantum.
*triacontahedral*=149=* E - Quanta module*=*prime volume*=149,
while - *the E Quanta module*=182=*one energy quanta*=182.
Klee from the Quantum Gravity Research Team
"Our group has demonstrated that fractals and cellular automata can be programmed with hinge variables in the algorithm that are acted upon by emergent states of the evolution of the system, creating integrated feedback systems similar to our view on how the QC spacetime algorithm works (video), where subsystem consciousnesses and the universal consciousness inform and co-create one another’s decisions at all scales. Because our concept employs a language with a hinge variable, high order emergent states of the system, such as humans, can direct the system in a reverse cascade of causality all the way down to the Planck scale QC tiles, acting on the hinge variable in the algorithm and engaging with it to form resonant feedback loops."
Klee again; "The gauge symmetry transformations plot perfectly to the vertices of certain golden ratio related higher dimensional polytopes and lattices related to the E8 lattice."
Sandor Kabai in his excellent book Rhombic Structures shows us how golden rhomboids pack in plani-spiral geometry of continuous self similar implosion physics.
Rhombohedral wave envelopes form in both real space + isospace and realtime + isotime (reverse future time).
Jitterbug waves from different directions can simultaneously flow through the quasicrystalline lattice such that, from a distance, the patterns of motion look smooth like fluid dynamic systems in nature.
animation created by Michael Rule
Plasma Cosmology, a new astronomy
Klee and friends use the term 'letter strokes' to plot the route of 'strings' as multiple series of voxel units phase shift within golden ratio structures.
Our view is, the membrane to centre seeking 'letter strokes' are 'implosive vectors' following
the golden spiral curve along phason pixel strings to centre's of five-fold icosahedral quasicrystals.
Letter Strokes traverse 4D space-time, as phi scaled toroids align their vortices.
Galaxy size vortices link vertices of galaxy size Bose Einstein Condensate quasicrystals,
in this way simultaneity and transmigration throughout the galaxy & cosmos is achieved.
Lower case English letters strokes,
(b, d, j etc) are actual implosion vectors [Flame letters],
while others (k, h, m, etc) are composite shadowglyphs [Hieroglyphs].
The golden ratio spiral vectors being smooth flow (not quantized) and superluminally implosive,
accounting for instantaneousness between non-local systems.
Dan Winter's original golden spiral English Letter forms, mapped as torus is indexed by rotations to icosahedral five fold symmetries.
Randall & Vicki Baer's 'The Crystalline Connection', describe this as
"The pictographic Universal Language of Light, bears the imprint of Abstract Thought
transduced into abstract geometric interference patterns. This type of universal coding
is highly active in nature, serving as a primary medium by which Thought is "fired" into the
crystallographic Universal Energy Network (UEN-multidimensional latticework) &
remains therein as a membrane-formulating-maintaining, & modifying intelligence-modality.
Its conjunctive aspect is as a fundamental universal "alphabet" of singular and integratable constants
of intercommunication. The highly active quality of these pictographic hieroglyphs makes them particularly
predisposed to thought-pattern exchange and interaction via telethought communication.
Each pictograph, also called a flame letter, encapsulates vast orders of Thought in its elegantly simple form.
That is, these flame letters harmonically interact within the UEN latticework, maintaining and
modifying their apportioned interdimensional standing wave patterning by highly active energetic interreactivity.
Put more simply, these physics hieroglyphics utilize the crystallographic UEN component as
a highly stable matrix that helps sustain their dimensional continuity and interconnection."