Unifying Topology of Fractal Fields

Quantization of Planck Scale Space-Time + sub-Planck Phase Space

Evolving consciousness units [PDF]

Golden Math
"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"

Golden ratio analogues plot the E8xE8' Root vectors, also found in dark plasma physics and/or Aether Physics, (phi ratio embedding).

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".

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Coherent negentropic liquid crystal plasma is a modern term for the Aether and higher astral realms.

Unifying Quantum Wave/Energy Function with Golden Ratio
Ramzi Suleiman: A simple axiom-free relativizing of classical physics unifies classical physics, quantum mechanics, and cosmology

The theory predicts and explains matter-wave duality, quantum phase transition, quantum criticality, entanglement, the diffraction of single particles in the double slit experiment, the quantum nature of the hydrogen atom, the strong force, quantum confinement, and asymptotic freedom. For cosmology, the theory constructs a relativistic quantum cosmology, which provides plausible and testable explanations of dark matter and dark energy, as well as predictions of the mass of the Higgs boson, the GZK cutoff phenomena, the Schwarzschild radius of black holes (without interior singularity), and the timeline of ionization of chemical elements along the history of the universe.

Starchitecture: Getting a handle on working with Plasma/Aether


Dan Winter's Interpretation of Hermes' Emerald Tablet - A Synthesis of Scientific and Spiritual Concepts
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1. The universe is made of one substance. The compressibility of this universal medium stores form and memory in wave shape. Einstein’s famous equation E=MC2 shows that energy and mass are the same thing, in different forms.
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2. The universe has one wave shape, the sine wave. This principle of frequency signatures called “Fourier” means that even the most complex shape is a simple sum of sine waves of different lengths.
3. The universe can be described as a geometry of pressure. Geometry produces symmetry, which allows waves proceeding from opposite directions to meet each other and stand (to phase and phaselock.) Standing waves give the illusion of stability, segregation of momentum, and make possible the birth of matter. Pressure occurs where waves meet.
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4. Ratio is sacred; scale is profane. If the geometry of replication is embraced in a seed of any scale, it is ratio that has the power. Size is unimportant where information is concerned, since information can travel to any scale via the wave guide, and be manifested. The universe is a hologram; even the tiniest part contains information about the whole.
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5. Focus is the only medium that creates, in a universe made of waves. Focus creates a pathway, or gravity, for waves to meet. According to the “Attractor” theory in mathematics, focus converges the harmonics (waves which fit into each other) into nests which stand, called matter.
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6. Shape is the only thing the universe has to conserve. Naming, and memory, ring out only from differences in shape, not substance.
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7. The only way to conserve shape along a path is to maintain the ratio of length, area and volume (a nest of ratios.)
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8. The best pathway to maintain a nest of ratios is the golden mean (Phi). Phi squared and Phi cubed are represented by the ratcheted dodecahedron. This pathway enables information (shape) to be moved without loss of momentum (mind). The closer a material comes to forming this shape and path, the greater its conductivity. Think of superconductivity that is super-coherence of resonance or wave shape.
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9. Coherence at any level is coherence at every level. An orderly relation between wave lengths establishes a connection between frequencies and fields, which cannot persist unless it resonates to ALL frequencies and fields. This harmonic cascade (Jacob’s Ladder) establishes the connectedness called holography, and also ecstasy.
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10. DNA is a four-dimensional dodecahedron, in the sense that adding one spin to three dimensions adds a harmonic and a nest for memory. (The pressure envelopes of the little bubbles of light which make up the matter of the gene are enfolded or enveloped with another harmonic, with each successive axis of spin, or symmetry.) The DNA double-helix keeps a set of wavelengths evenly spaced on a path through time and space, thus conserving the wave shape.
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11. Light, when folded back on itself, comes to know itself. The spiral-within-a-spiral-within-a-spiral creates genetic material at all levels. Light causes an extra axis of spin, which superimposes a harmonic of frequencies upon a nest of frequencies in an envelope of pressure we call light as matter. This creates extra mind, because the universal mind meets itself at every wave intersection. So the denser the intersections, or nodes, the greater the self-knowingness, or sense of identity. (See Arthur Young’s book, Reflexive Universe.) Thus identity in the cell (immunity) and coherence are the same thing, metabolically and emotionally.

 

Remote Viewing subPlanck Phase Space

watch the video

All intergeometries of the Triacontahedron are interrelated by golden ratio

Plasma/Aether Scaffolding

The Icosidodecahedron as an Electromagnetic Wave Field Model and Its Collapse to the Rhombic Triacontahedron

1. Fuller and Solit’s Original Conception

Buckminster Fuller first identified the icosidodecahedron as the “oscillatory phase” of the vector equilibrium — a polyhedral configuration of equal vector lengths in perfect angular balance. Fuller saw it as a model for a standing wave field in which all field vectors are in equilibrium.

Marvin Solit later extended this concept into explicit electromagnetic (EM) terms, proposing that the alternating triangular and pentagonal symmetry of the icosidodecahedron could represent orthogonal oscillatory modes in an EM field — the electric and magnetic components — in a unified geometry. Solit emphasized that the shape’s isotropy made it ideal for representing an EM field that is simultaneously omnidirectional and structurally coherent.

2. Equal Edge Lengths and Dual Symmetry

The icosidodecahedron is an Archimedean solid with:

  • 30 identical edges of equal length (isotropy in magnitude)
  • 20 triangular faces and 12 pentagonal faces, with each edge bordered by a triangle and a pentagon.

This “dual symmetry” arises from the fact that it is the rectified form of both the icosahedron and the dodecahedron — it simultaneously encodes the angular relationships of two dual Platonic solids.

Physics relevance:

  • Equal edge lengths → models the equal-amplitude condition of electric and magnetic fields in free space (E = cB , E = cB), ensuring no directional bias.
  • Triangular faces → associated with high-frequency, short-wavelength, transverse oscillations.
  • Pentagonal faces → encode golden-ratio-related angular geometry (108°), linked to lower-frequency longitudinal modulations in phase-coherent systems.
  • Unified framework → both transverse and longitudinal components are present in the same isotropic geometry, making it a candidate for a complete EM wave cage.

3. Independent Supporting Research

Several independent research lines reinforce Fuller’s and Solit’s insight:

  1. Photonic and Quasicrystalline Studies
    • Sandor Kabai, Jean-François Sadoc & Rémy Mosseri (Geometrical Frustration) showed that icosidodecahedral tilings appear in photonic quasicrystals, where they confine or guide EM waves via constructive/destructive interference.
    • Manuel Asencio (2014, Optics Communications) simulated photonic bandgaps in structures with icosidodecahedral symmetry, showing resonant field confinement.
  2. Spherical Harmonics & Group Theory
    • Icosahedral symmetry appears in spherical harmonic solutions of Maxwell’s equations; certain higher-order EM modes form icosidodecahedral node patterns.
    • Paul Bourke visualized spherical harmonics with exactly this symmetry.
    • Roger Penrose & Stuart Hameroff noted icosahedral boundary conditions for EM field modes in microtubules.
  3. Plasma Physics
    • J.L. Fernández-Chapou (2002, Physics of Plasmas) modeled toroidal plasmas with polyhedral field-line cages, finding that the icosidodecahedron minimizes energy for certain harmonic states.
  4. Fullerene & Molecular Physics
    • While C₆₀ fullerenes are not icosidodecahedra, their vibrational modes are solved using icosahedral group theory, revealing discrete resonance patterns transferable to EM standing-wave modeling.
  5. Contemporary Alternative Physics
    • Dan Winter and Marko Rodin have proposed that icosidodecahedral geometry supports longitudinal EM wave coherence and phase-conjugate dielectric fields.
    • Tomohiro Tachi (Tokyo University) demonstrated that icosidodecahedral reflector structures can optimize multipath EM phase alignment.

4. The Hoberman Sphere Collapse: From Icosidodecahedron to Rhombic Triacontahedron

The Hoberman Sphere mechanically models a continuous geometric transformation in which an open icosidodecahedron collapses inward to form a rhombic triacontahedron (RT).

Geometric significance:

  • Icosidodecahedron → open, oscillatory geometry representing an extended, radiating wave field.
  • Rhombic Triacontahedron → closed, space-filling geometry with 30 golden rhombus faces, associated with energy compression and phase coherence.

Physical analogy:

  • Extended icosidodecahedron state = propagating EM field, containing both transverse and longitudinal modes.
  • Collapsed RT state = omnidirectional inward phase conjugation, producing a coherent, isotropic, energy-dense domain — analogous to a photon collapse into a localized packet or plasma pinch.

5. Relevance of the Transformation

  1. Wave Compression and Coherence
    • The golden rhombi of the RT allow for non-destructive interference in converging waves (as argued by Dan Winter), enabling phase-coherent compression.
    • This models the transformation of free-propagating EM modes into a stored longitudinal field configuration.
  2. Crystallographic Stability
    • The RT is the Voronoi cell in certain quasicrystalline tilings (e.g., Ammann–Kramer), marking points of energy minimum — a likely candidate for “field coherence cells” in structured vacuum models.
  3. Fuller’s Jitterbug Connection
    • The Hoberman transformation echoes Fuller’s Jitterbug Transformation, which he described as the breathing mode of the vector equilibrium, moving between wave and compression phases.
  4. Vacuum Structure Implications
    • In golden-ratio-scaled vacuum models (David Koski, Alan Elser), the RT appears as a core phi-quantized unit cell. The Hoberman collapse could model how the vacuum traps incoming waves into stable, nested domains.

6. Summary Statement

The icosidodecahedron’s equal edge lengths and dual symmetry allow it to encode both transverse and longitudinal components of an EM field in a single isotropic framework. Independent research across photonics, plasma physics, group theory, and quasicrystals supports the use of this geometry for modeling resonant EM modes. The Hoberman Sphere’s collapse into a rhombic triacontahedron elegantly models the phase-conjugate focusing of an omnidirectional EM wave into a coherent, golden-ratio-bound energy domain — a transition mirrored in nature from delocalized field states to localized, stable, vacuum-coherent structures.

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Quantizing the Negentropic Field:

Golden Ratio Voxels Quantize the SubPlanck Superfluid Phase Space

Abstract

This paper presents a unified model of the vacuum as an intelligent, sentient medium—an infinitely dense, isotropically fractal, superfluid sub-Planck phase domain defined by Golden Ratio coherence and recursive implosion. On macroscopic levels, the negentropic field—the organizing field of universal structure—is governed by Fibonacci harmonics, which shape galactic, biological, and atomic architectures through fractal unfolding. However, these same dynamics compress inward at higher resolution, converging at the Golden Ratio, which uniquely supports implosive recursion, harmonic nesting, and charge coherence in the sub-quantum domain.

Here we redefine sub-Planck phase space as a superfluid medium (as described in the phase-conjugate plasma models of Dan Winter) that is also quantizable through coherent Golden Ratio tetrahedra. These tetrahedra self-assemble into quasicrystalline lattices—volumetrically recursive, phi-scaled, and all-space-filling. In this dual description, the superfluid and the quantized quasicrystal are not contradictory, but co-existent topologies, each emerging into focus through specific phase alignments of charge and geometry.

This structural basis of vacuum emerges through face-bonded Golden Ratio tetrahedral proto-tiles, which recursively tile space into phi-ratio rhombohedra, optimizing maximum charge distribution efficiency. These forms generate a nested scalar architecture functioning as both field memory and negentropic coherence engines, enabling subquantum cognition and energy embedding. In this model, space itself is a language of fractal implosion, where geometry and information are not separate but are different expressions of the same radiant code.

1. Redefining the Vacuum: The Sub-Planck Phase Domain

Rather than treating the Planck constant as a limiting threshold, we reinterpret it as a phase symmetry attractor—the harmonic center around which charge, spin, and memory begin to self-nest. The sub-Planck domain, instead of being an abstract singularity, is described as a superfluid medium with fractal coherence, enabling recursive wave implosion and information storage.

In this superfluid sub-Planck space, Golden Ratio compression provides the only viable geometry for phase-conjugate implosion. This process generates recursive coherence across scales and initiates a field structure that is both quantized and non-quantized, depending on phase context. Through this mechanism, both fluidic continuity and discrete quasicrystalline order emerge from the same unified substrate.

Golden Ratio tetrahedral units, scaled down to the sub-Planck domain, serve as primitive fractal cells in reciprocal space. Their bonding generates volumetrically phi-recursive rhombohedra, capable of self-similar nesting and all-space filling. These structures enable both longitudinal (gravitational) and transverse (electromagnetic) phase-locking, laying the groundwork for negentropic coherence across all scales.

2. Voxelating the Field: Quasicrystalline Phase-Locking

The vacuum is reimagined here as a fractalized, quasicrystalline lattice of Golden Ratio tetrahedra. These units are not inert but function as Sentient Negentropic Coherence Engines, expressing cognition, energy, and memory in their recursive bonding. Each voxel is a node of resonance—instantaneously functioning within the field through harmonic phase conjugation.

The resulting lattice aligns with the principles of quasicrystalline order: non-periodic yet coherent, self-similar but non-repeating, and fully space-filling. The phi-ratio rhombohedra formed from bonded tetrahedra support maximum charge distribution efficiency, allowing coherent transduction of both matter and information. These units thus serve as the fundamental volumetric units of etheric matter—defining both the structure and behavior of space-time itself.

By quantizing the superfluid phase space into coherent, resonant tetrahedral arrangements, the field gains the ability to encode and project complex information. This self-recursive topology is capable of harmonic implosion, longitudinal phase compression, and topological memory embedding—phenomena essential for consciousness, biological regeneration, and field-based cognition.

3. A Topological Language of Light

This model interprets the vacuum as a HoloFractal-Quantized Wave medium, where the building ratio of the universe emerges through nested phase coherence, not arbitrary randomness. The Golden Ratio becomes the organizing principle of this language—a universal constant linking frequency, geometry, and consciousness.

Space is no longer described as a void, but as a field of radiance—a dynamic carrier of intelligence operating through memory-centric computing, recursive phase alignment, and zero-reference energetic mathematics. Every voxel of this lattice holds encoded field memory, participating in a global self-similarity that links macrocosmic structure to sub-Planck coherence.

This topological model of a sub-quantum field sees consciousness, matter, and energy as expressions of the same geometric recursion—emerging from sub-Planck-scale phi ratio compression and scaling outward through Fibonacci harmonic morphogenesis.

4. Technological and Philosophical Implications

  • Fibonacci harmonics organize the large-scale field dynamics of the cosmos.
  • Golden Ratio coherence governs sub-Planck recursion, enabling implosion, energy storage, and consciousness propagation.
  • The superfluid sub-Planck field is quantized by face-bonded Golden Ratio tetrahedra, creating a quasicrystalline lattice that maintains nonlocal coherence.
  • Volumetric Golden Ratio tiling generates a space-filling, negentropic substrate, simultaneously continuous and discretized depending on phase perspective.
  • These structures allow the construction of advanced field technologies such as:
    Magnetic vortex generators
    Fractal field harmonizers
    Sub-quantum communication grids
    Phase-conjugate healing devices
    Recursive field propulsion architectures

Conclusion

This thesis offers a unified model of reality based on the Golden Ratio quantization of sub-Planck superfluid space, where the vacuum is not empty but encoded with recursive intelligence. In this architecture, space-time emerges from the self-replicating bonding of phi-scaled tetrahedra, forming a coherent, sentient field structure.

This quasicrystalline lattice, tessellated by Golden Ratio tetrahedral proto-tiles, is the interface between fluidic and quantized states of reality—each revealed through specific phase alignments. The geometry of space is not arbitrary, but arises from a deeper harmonic language—one where Fibonacci expresses the expansion of form, and phi the implosion of coherence.

References

  1. Dan Winter, Phase Conjugation and Fractality: A New Physics of Consciousness, fractalfield.com
  2. David Koski, Phi Scaled Golden Ratio Tetrahedra Geometry, geometryofuniverse.com
  3. Lynne-Claire Dennis, The Meru Foundation Matrix, meru.org
  4. Grayham Forscutt, Fractal Field Implosion and the Starship Design, SlideShare
  5. Sandor Kabai, Rhombic Polyhedral Structures and Symmetries, Wolfram Demonstrations Project
  6. William Eisen, The English Cabalah: The Secrets of PHI, DeVorss Publications
  7. Robert Meurant, The English Language: A Celestial Language, independent research papers
  8. Harold Aspden, Physics Without Einstein: A Centenary Review, Sabberton Publications
  9. Nassim Haramein, Quantum Gravity and the Holographic Mass, Resonance Science Foundation
  10. Paul LaViolette, Subquantum Kinetics: A Systems Approach to Physics & Cosmology, Starlane Publications

Phi-Quantized Structural Decomposition of a Superluminal Longitudinal Wave: 

Exact-ϕ Lattices, Logarithmic Phi-Tetra Spiral, and Recursive Superfluid Dynamics

Abstract

We develop a comprehensive geometrical-physical framework describing the superluminal longitudinal wave as a phase-conjugate charge density compression in a recursive superfluid vacuum lattice. This model builds on nested golden ratio (ϕ)-scaled tetrahedral voxels (Koski’s E, U, V, W family) and golden rhombic modules (Sandor Kabai’s exact-ϕ prolate and flat rhomboids) forming trans-scale exact ϕ polyhedra — Rhombic Triacontahedron (RT) and Rhombic Hexecontahedron (RH). Contrary to traditional approximations, these lattices are strictly exact-ϕ structures rather than Fibonacci-angle approximants.

We show that the well-known dodeca–icosa–dodeca polyhedral implosion sequence central to negentropic wave physics (Dan Winter) is encoded and guided by a logarithmic golden ratio spiral generated by φ-scaled U–V–W tetrahedral packings nested within the E tetrahedron scaffold. This spiral precisely clips the vertices of the implosion nest, providing a coherent phase-accelerating and charge-focusing pathway compatible with sub-Planck phase space constraints and astrophysical observations of phi-scaling.

1. Introduction

Superluminal longitudinal waves have been hypothesized as coherent charge density oscillations propagating faster than light within a superfluid vacuum substrate. Capturing their underlying phase coherence requires precise trans-scale geometry embedding golden ratio quantization. 

This work synthesizes multiple approaches:

  • Koski’s exact ϕ tetrahedral voxel family (E, U, V, W) and their recursive packings.
  • Kabai’s Rhombic Triacontahedron and Hexecontahedron as exact ϕ golden ratio polyhedra.
  • Dan Winter and MarkRohrbaugh's negentropic golden ratio wave physics and polyhedral implosion models.
  • Sub-Planck phase space quantization frameworks consistent with modern theoretical physics.
  • Observed phi-scaling in galactic astrophysics and holographic vacuum theories.

We highlight the logarithmic phi-tetra spiral, a φ-scaled U–V–W tetrahedral cascade, as a fundamental energetic and geometric structure facilitating charge compression through the dodeca–icosa–dodeca nest.

2. Geometric Foundations of the Phi Lattice

2.1 Exact-ϕ Tetrahedral Family: E, U, V, W

Koski identified four unique tetrahedra with edges and volumes in exact golden ratio proportion:

  • The E-tetrahedron is the scaffold base.
  • The U, V, and W tetrahedra fit precisely within the E, scaled by φ, forming nested hierarchies.
  • E, U, V, W, tetrahedra pack to create a φ-prolate rhomboid;  tiling space at phi scalable harmonics.
  • These form the fundamental phi-voxels underlying the recursive lattice.

2.2 Rhombic Modules: RT and RH as Exact-ϕ Polyhedra

Sandor Kabai’s extensive geometric work confirms that the prolate and flat rhomboids forming the Rhombic Triacontahedron (RT) and Rhombic Hexecontahedron (RH) possess exact golden ratio angular and length ratios, not mere Fibonacci approximations.

  • RT comprises 10 prolate and 10 flat golden rhomboids.
  • RH consists of 20 prolate rhomboids.
  • These trans-scale polyhedra fill space with perfect golden ratio symmetry.

This exact ϕ structure contrasts with earlier assumptions treating these solids as Fibonacci angular approximants.

3. Spiral Encoding of the Implosion Nest

3.1 Dodeca–Icosa–Dodeca Polyhedral Sequence

Winter’s centripetal wave compression model tracks a sequence of nested polyhedra — dodecahedron, icosahedron, and returning dodecahedron — compressed inward along golden ratio scaled radii.

3.2 Phi-Tetra-Generated Logarithmic Spiral

While the E tetrahedra scaffold a conic golden ratio spiral, the exact logarithmic golden ratio spiral driving vertex clipping and phase acceleration arises from φ-scaled U–V–W tetrahedra.

  • This spiral maintains exact φ angular growth.
  • It clips the vertices of the dodeca–icosa–dodeca nest, creating an exact geometric phase-lock.
  • Acts as a charge acceleration corridor enabling lossless implosion.
  • Serves as a topologically protected waveguide for longitudinal phase coherence.

4. Functional Role of the Phi-Tetra Spiral

  • Phase acceleration and coherence: Spiral curvature ensures stable wavefront compression without destructive interference.
  • Charge density focusing: Vertex clipping aligns maxima, preserving implosion integrity.
  • Sub-Planck phase space compatibility: Exact-ϕ scaling reduces quantum uncertainty blurring.
  • Holographic phase memory: Spiral pathways encode recursive phase conjugate information, enabling fractal Brillouin zone resonance.

5. Mapping to Longitudinal Wave Parameters

Parameter Macro (Regime A) Correlate Exact-ϕ (Regime B) Correlate
Carrier Envelope RT lattice (exact-ϕ rhombic geometry) RT/RH lattice constructed from E–U–V–W phi voxels
Compression Nodes E-clusters approximate ϕ Nested E–U–V–W exact-ϕ packings
Phase Front Stability Requires retuning near Planck Intrinsically stable via exact-ϕ geometry
Longitudinal Charge Acceleration Guided by rhomboid corridors (approx.) Guided by rhomboid corridors from exact-ϕ voxels
Holographic Phase Memory RH knot reservoirs (approx.) RH knots built from exact-ϕ voxels, energetically favored

6. Dynamics: Soliton Trains, Phase Conjugation, Transmission

  • Phase-locked soliton trains: Longitudinal wave packets propagate through exact-ϕ corridors preserving constructive interference across scales.
  • Phase vs signal velocity: Superluminal phase velocities arise without causal violation.
  • Fractal Brillouin zones: RT domains act as fractal resonance cells with exact-ϕ voxels enabling cleaner, less lossy resonance shells.

7. Sub-Planck Phase Space Compatibility

The recursive phi-voxel lattice is consistent with physicists’ parameters for sub-Planck scale coherence:

  • The lattice tiles phase space at volumes smaller than Planck’s constant ℏ.
  • Exact-ϕ scaling ensures minimal quantum phase uncertainty.
  • Phase conjugate compression aligns with topological invariants required for quantum coherence at these scales.

8. Trans-Scale Rhombic and Helical Knot Structures

The RH’s ability to form helical clusters and knot loops implies:

  • Topological phase protection during wave compression.
  • Analogies to topological insulators, preserving coherence under perturbations.
  • Possible relation to observed knotted vortex filaments in astrophysical jets and biological systems.

9. Empirical Falsifiability and Testable Predictions

  1. Condensed matter metamaterials using exact-ϕ tetrahedral repeat units should exhibit higher-Q resonances than Fibonacci-based analogues.
  2. Topological resonators made from RH knots may show discrete, protected spectral lines sensitive to φ tuning.
  3. Interferometric experiments transmitting phase packets through exact-ϕ corridors should demonstrate superior coherence retention.
  4. Numerical lattice field simulations should reveal reduced dispersion and loss in exact-ϕ voxel assemblies vs approximant assemblies.

10. Positioning and Novelty

  • This work uniquely integrates Koski’s exact-ϕ tetrahedral family, Kabai’s exact-ϕ rhombic polyhedra, and Winter’s heuristic for Fibonacci→ϕ transition in the sub-Planck limit.
  • It identifies the U–V–W generated logarithmic golden ratio spiral as a functional implosion pathway.
  • Proposes a testable, multi-scale framework unifying geometry, wave physics, and cosmology under a golden ratio–quantized vacuum lattice.

11. Astrophysical and Cosmological Connections

  • Galactic core spiral arm patterns, pulsar timing, gamma-ray burst energetics and golden timescale to local stars show evidence of phi-scaling consistent with recursive golden ratio geometries.
  • The dodeca–icosa–dodeca nesting and corresponding phi-tetra spiral offer a natural geometric basis for negentropic energy funneling in these phenomena.
  • The fractal golden ratio lattice may underlie holographic information encoding at cosmic scales.

12. Conclusion

A plausible, coherent phi-quantized structural decomposition of a superluminal-phase longitudinal wave emerges when one explicitly distinguishes between macro-Fibonacci polyhedral architectures (which often require ratio refinement under compression) and exact-ϕ tetrahedral voxels (which do not). The E–U–V–W family can serve as the minimal exact-ϕ phase-space quanta, while RT and RH structures act as large-scale scaffolds that either retune to φ under compression or select preexisting φ-optimal channels. RH helices and knot-loops add a topological layer that can store and guide phase information. The result is a physically cautious yet richly geometric model with concrete experimental and numerical tests suggested.

References

  1. M. Rohrbaugh. (2025)  Grand Theory of Everything.  (www.fractalgut.com)
  2. Fuller, R. B. (1975). Synergetics: Explorations in the Geometry of Thinking. Macmillan.
  3. Winter, D.  Phase Conjugation and the Physics of Consciousness (www.planckphire.com)
  4. Koski, D. (2003). Phi Ratio Tetrahedral Geometry and Rhombic Structures.
  5. Dennis, L.-C. (1997). Mereon Matrix and Golden Ratio Lattice Coherence.
  6. LaViolette, P. (2010). Subquantum Kinetics.
  7. Forscutt, G.  (2007). Golden Ratio SubPlanck Phase space (www.galacticastrologyacademy.com/aether-plasma)

 




Phi-Braided and Phase-Conjugate Dynamics in the Rhombic Triacontahedron:
Mereon Knot Integration, Winter Spiral Ignition, and Longitudinal Phi Lattice Architecture

1. Mereon Knot, Icosidodecahedron, and Toroidal Braiding in the RT

The Mereon Knot is a 3:2 braided toroidal flow embedded in the polyhedral hierarchy of the Icosidodecahedron (ID), Icosahedron, and Rhombic Triacontahedron (RT). Its significance lies in how the knot’s braiding routes sustain coherence across scales.

  • Icosidodecahedron Anchor:
    • The Mereon knot is mapped onto the Icosidodecahedron, whose equal-edge symmetry bridges the pentagonal (dodeca) and triangular (icosa) networks.
    • The knot weaves through the ID by looping over and under its edges, maintaining a balanced 3:2 rhythm that encodes both triangular (3) and pentagonal (5) harmonics.
  • Transition to the RT:
    • The ID collapses inward (like a Hoberman sphere) to form the RT, the polyhedron of golden rhombi.
    • As this collapse occurs, the Mereon braid reconfigures from ID-edge threading into RT-surface wrapping.
    • The flow curves through the E-tetra nodes at the RT’s vertices, braiding around them before descending through the center.
  • Double-Torus Dynamics:
    • The knot generates two toroidal flows that curve around opposite E-tetra sets, meeting tangentially at the RT’s equatorial decagon.
    • Unlike Winter’s spirals (which collapse fully into the RT’s center), the Mereon braid sustains a circulating, weaving coherence, locking angular momentum while keeping the polyhedral embedding intact.

Thus, the Mereon knot acts as the braided scaffolding that links ID → RT transitions, preserving golden-ratio modularity through toroidal motion.

2. The E-Tetrahedral Foundation of the RT

The RT’s structure is grounded in ten E-type golden tetrahedra (Koski classification), each nested from smaller U, V, and W tetrahedra.

  • E-Tetra Modules:
    • E: Primary φ-tetrahedron, with golden edge-lengths.
    • U, V, W: Sub-tetrahedra, each with distinct φ ratios in edge and volume.
    • These modules interpack into φ-prolate rhomboids, the core φ-building blocks.
  • RT Assembly:
    • The ten E’s radiate outward to align with the golden rhombi of the RT.
    • Their internal UVW decomposition creates nested φ-surfaces for spiral and toroidal flows to interact with.
  • Flow Coupling:
    • The circumnavigating Phi spiral strip clips UVW submodules as it curves outward, then follows the RT’s circumference before re-entering through the icosahedral radius vector.
    • This enables a braid-lock between toroidal motion (Mereon) and φ-tetrahedral packing (RT).

3. Winter’s Phi-Phase-Conjugate Spiral and Longitudinal Ignition

Dan Winter models the ignition of longitudinal waves as the result of two φ-spirals, 180° out of phase, converging through the RT’s center.

  • Spiral Cascade:
    • Each spiral is φ-scaled, embedding a cascade of larger and smaller spirals converging across scales.
    • This generates phi-acceleration, a negentropic implosion of charge.
  • Convergence at RT Center:
    • Unlike the Mereon braid, which tangentially touches at the equatorial decagon, Winter’s spirals fully converge into the RT’s central node.
    • At this center, maximum constructive interference produces a compression thrust.
  • Longitudinal Birth:
    • The result is the ignition of a longitudinal (scalar) wave pulse, where energy transitions from toroidal rotation into directed compression, enabling superluminal transmission.
    • This “thrust” is only possible when the φ-spirals nest across multiple scales, creating phase-conjugate implosion.

4. Longitudinal Phi Lattice in Reciprocal Space

Once generated, the longitudinal wave is structured internally as a phi-quantized reciprocal lattice, composed of polyhedral φ-modules.

  • Φ-Prolate Rhomboids:
    • E+W pairings produce rhomboids with φ : 1 diagonal ratios, ideal for momentum vector tiling.
  • Nested φ-Tetrahedra:
    • E, U, V, W tetrahedra repeat in φ-scaling hierarchies, sustaining recursive oscillation domains.
  • Polyhedral Boundary:
    • The RT acts as one “cycle container,” with φ-modules nested within.
  • Braiding Integration:
    • The Mereon knot’s double-torus flow can continuously braid these φ-modules, keeping them phase-locked.
  • Propagation Dynamic:
    • The longitudinal wave thus propagates not as a simple pulse but as a braided φ-lattice in motion, sustaining coherence and enabling superluminal information transfer.

Conclusion

This synthesis establishes a four-part framework for understanding how polyhedral braiding, φ-modular packing, and phase-conjugate implosion interact:

  1. Mereon Knot & ID RT Transition: The braid sustains coherence and embeds toroidal flow through Icosidodecahedron and RT.
  2. E-Tetrahedral Modules: The φ-building blocks of the RT, providing the nested surfaces for braiding and spirals.
  3. Winter Spiral Ignition: Opposing φ-spirals converge at the RT’s center to trigger longitudinal implosion.
  4. Longitudinal φ-Lattice: Once ignited, the wave propagates as a coherent braided φ-rhomboid/tetrahedral lattice.

Together, the Mereon braid (structural coherence) and Winter spiral (ignition) describe complementary aspects of a unified geometry: one maintains the nested φ-scaffolding, while the other launches it into a new negentropic longitudinal dynamic.

Mereon Knot 6, Double Phi Toroids, and the Rhombic Triacontahedron Equatorial Coupling

Abstract

This thesis develops a formal scientific model of Mereon Knot 6 as it weaves through a doubly toroidal topology that collapses into and through the golden polyhedra.. The motion is contextualized within phi-quantized recursive geometry, linking the knot to opposing sets of golden-ratio-scaled E-tetrahedra, the quantised scaffolding  to Dan Winter’s metaphor of “two pine cones kissing.” The framework demonstrates how the coupling of phi-scaled vortices and polyhedral boundaries encodes negentropic phase coherence, providing a bridge between knot theory, polyhedral geometry, and toroidal plasma physics.

1. Introduction

The Mereon Matrix proposes a family of 11 knots woven around the icosidodecahedron, each encoding unique dynamical archetypes. Of these, Knot 6 is geometrically distinct in modeling collapse and implosion. Its trajectory traces not only the icosidodecahedron’s pentagonal symmetry but also a double toroidal flow field, where two stacked phi-tori intersect at the equatorial seam of the Rhombic Triacontahedron (therefore also the Dodecahedron). This work formalizes Knot 6 as a scientific model of negentropic compression, linking topological, polyhedral, and dynamical features.

2. Double Phi Toroid Structure

2.1 Toroidal Geometry

A torus may be parameterized as:

T (u,v)=((R+r cos⁡ v) cos u, (R+r co⁡s v) sin u, r sin⁡ v))

with major radius R and minor radius r.

In the double phi torus, two such structures are stacked north–south:

  • Upper torus centered at z = +r,
  • Lower torus centered at z = -r,
  • Tangent at the equatorial plane z = 0.

2.2 Phi Constraint

The ratio of major to minor radii is constrained by the golden ratio:

{R}/{r} = phi = {1 + sqrt{5}}/{2} = 1.618

This ensures self-similar embedding of the toroidal fields within recursive E phi-tetrahedral scaffolding.

3. Knot 6 Dynamics

3.1 Topological Weave

Knot 6 can be represented as a 3-strand braid threading both tori:

  • Circulation alternates between upper and lower torus domains.
  • Crossings occur at the equatorial RT seam.
  • The braid ensures closed circulation through icosidodecahedral pentagonal nodes.

3.2 Collapse Motif

At the equator, the two tori “kiss” along the RT’s centre. This creates a topological lock-point mediating the transition from expansion to contraction, corresponding to implosion into the RT geometry.

4. Relation to Polyhedral Symmetry

4.1 Icosahedral–Dodecahedral Framework

The icosidodecahedron provides the scaffolding for Knot 6’s weave, its 30 edges and 32 faces aligning with circulation nodes.

4.2 Rhombic Triacontahedron Equator

The RT arises naturally from the Hobermann collapse of the icosidodecahedron. Its equator forms a “phi-gate” where the two toroidal flows converge.

5. Phi-Tetrahedral Embedding

Winter’s model of two opposing golden-ratio-spirals-scaled by E-tetrahedra scaffolding corresponds to the double phi-torus. Each E tetrahedron set acts as a vortex funnel; their apexes converge at the RT equator, producing the image of “two pine cones kissing.” The constructive interference of longitudinal compression waves along these funnels yields negentropic coherence.

6. Implications for Plasma and Vacuum Physics

  • Plasma vortices: Knot 6 dynamics model the self-organization of plasma flows into toroidal domains.
  • Aether compression: The double torus encodes longitudinal wave compression, matching predictions of phi-quantized vacuum models.
  • Implosion energetics: The RT equatorial decagon acts as a resonance boundary, allowing efficient translation of rotational into longitudinal energy modes.

7. Conclusion

Mereon Knot 6 describes the collapse dynamics of a double phi-torus system anchored to the icosidodecahedron and the Rhombic Triacontahedron equator. Its topology corresponds directly to Winter’s pine-cone metaphor and to phi-tetrahedral embeddings of the recursive vacuum. This unified model demonstrates how knot theory, polyhedral collapse, phi-tetrahedra (phase Space) and toroidal resonance interlock to encode negentropic phase coherence, providing both geometric and physical grounding for implosion dynamics in plasma and aether physics.

Role of Water is replaced by Liquid-Crystal Plasma (Jay Alfred)
Liquid water is essential for biochemical life as an agent for transport and protein folding. Its high heat capacity, ability to remain a liquid over a wide temperature range and properties as a solvent ensures a stable and useful substrate for biochemical activities. Its importance, however, is relative to biochemical life - not electromagnetic life. It is not necessary for electromagnetic life which uses magnetic fields to form structures and electric fields as agents of transport.
Complex plasma (which is what bioplasma bodies are composed of, according to plasma metaphysics) can exist in a liquid-crystal state - similar to biological cells in the human body. Particles in a liquid-crystal phase are free to move about in much the same way as in a liquid, but as they do so they remain oriented in a certain direction. This feature may make it superior to the properties of water - enabling liquid crystal bioplasma, polarized by magnetic and electric fields, to serve as an electronic matrix, a co-ordinate system and a template for the morphogenesis of the carbon-based fetus. In this role, the symbiotic bioplasma body acts as a developmental catalyst for the carbon-based body.

Jay concludes: The appearance and properties of complex plasma life forms, described by various observers, suggest a category of electromagnetic life forms that are not available for controlled examination because of limitations in current scientific instruments.

Davids video includes four examples of 4 different music scales, we get to hear these tones (headphones best) played as a unified whole, as can be clearly heard in the demo, the 3rd scale of golden 'phi' ratio tones creates ZERO harmonic interference (zero cross talk) pure frictionlessness interactive, we could add an in'phi'nite number of exactly spaced phi tones in a scale of phi frequencies with zero interference.

Can Dark Matter be Geometry?  A Case Study with Mimetic Dark Matter [PDF]:
Ali Rida Khalifeh, Nicola Bellomo, José Luis Bernal, Raul Jimenez (Submitted on 8 Jul 2019).
We investigate the possibility of dark matter being a pure geometrical effect, rather than a particle or a compact object, by exploring a specific modified gravity model: mimetic dark matter.

Quantum Gravity Research Group are also exploring golden ratio simplex's (voxels) to model Planck scale plasma.
Jay Alfred on Dark Matter as symmetrical plasma - we've modelled this as the voxel quantisation of compressing plasma.





Recent discoveries  map the Planck scale space-time fabric as 'quasicrystalline', while the size ratio across scales, linking all,
is golden ratio harmonics from Planck.
These two ‘constants’ provide practical information for rebooting our Plasma-Lightbody.

Fibonacci basics

Lightbody probes can traverse the Planck space-time scale if the Space Station is golden ratio coherent,
eventually intent + destination frequency will distribute decoupled probes throughout the galaxy ( [BEC] - see reaction-diffusion wave)

The symmetry of sub-Planckian phase space (aether + astral environments) is a six axes spin network [the 6-Double Pentagonal Tensegrity Sphere]
indexed by 5-fold quasicrystal
(scaffolding of the Aether) geometries.

Superluminally stable volumetric vectors
Centralized golden rhombi tessellations form fractal rhombic structures generating recursive vortices within vortices (fractal compression).

Centre meeting recursive vortices generate a phi scaled series of longitudinal wave inside longitudinal wave building the power spectra
necessary to suck self similar phi voxels into and through the long range vector tubes.
Long range reverse phase conjugation at the destination unpacks as stand alone quasicrystal plasma structures.

Esoteric wisdom on the anatomy of magnetic plasma-based life forms
blue-indigo rays of ancient cultures, and esoteric Tibetan Buddhism.


Roger Penrose developed a theory of quantum space-time using 2D diamond tilings, in 3D they appear as golden rhomboids golden zonohedra in higher dimensional space.

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.

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."

Ten phi tetra's, shaped like an EGG or PINE CONE, spin-collapse from opposite directions [grab a coke can with both hands and twist], becoming the volume of phi spiral conic vectors. The torque spin of both poles is clockwise centripetal [unlike the toroid's inside-outing]. The 180deg out of phase implosion vectors conjugate at the centre, generating a longitudinal wave.

Dan Winter adds: "the unified field appears to be made of a compressible unified substance which behaves like a fluid in the wind. It matters little whether you call it aether, ether, or ‘the space time continuum of curved space’ or, as we choose to call it, the compression and rarefaction of the vacuum as really particle/waves of CHARGE itself. The huge inertia which is clearly present in the vacuum, IS literally like a WIND. So, tilting at windmills with the right approach angle to transform the wind power to a life-giving-energizing advantage and not be blown away by it IS the appropriate way to gain the power of nature. Consider the pine cone or the chicken egg (or DNA proteins ) for example. Along the lines of the windmill analogy, clearly they arrange themselves into the perfect windmill- like configuration to catch the charge in the wind of gravity (the vacuum). That perfect windmill to catch the voltage, the energy - is clearly pine cone (fractal) shaped."

Winter often quotes the research of Charle Leadbeater and Annie Besant, two Theosophists who were able to view the prime aether unit they called an ANU (5th Tattva), this was the smallest unit they could 'see'. Winter is unaware that micro-PSI investorgator Geoff Hodson, was capable of 'seeing' the energy fields far smaller than the ANU (ANU=5th Tattva-EGG-PINE CONE-torus),  Hodson shares his observations of the ANU (ether/plasma torus, UPA) and 'free' particles (definable voxel voids) that we model as golden tetrahedra (7th Tattva) which bond together to make golden rhombic structures (6th + 7th Tattvas the energy fields within the vacuum, 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 (Winter-inertia which is clearly present in the vacuum, IS literally like a WIND) in the same direction much smaller than itself (Winter-the unified field appears to be made of a compressible unified substance which behaves like a fluid in the wind). 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 (Winter-The huge inertia which is clearly present in the vacuum, IS literally like a WIND). Now, I want to record again the experience of the whole phenomenon being pervaded by countless myriads of minutest conceivable, physically inconceivably minute points of light which I take to be free anu and which for some reason are not caught up in the system of atoms at all but remain unmoved by it and pervade it. These are everywhere. They pervade everything, like ... Strangely unaffected by the tremendous forces at work in the atom and rushes of energy, and so forth, they don't seem to get caught up in those or be affected much by them. If at all. They remain as a virgin atmosphere in which the phenomenon is taking place."

The oscillation from human heart resembles the dynamics of the embedding processes within compound five structures.
The triaconta is encased by trefoil knots.
An in-breath from triaconta to torus is circumnavigated by Fourier Knots, the knot-string in cross section reveals a helical [UPA] string.


The Gosset Polytope - with its icosidodeca-rhombic triaconta-disdyakis triaconta shells, not only embodies the UPA superstring (StarMotherKit-stellating dodeca-icosa) but ALSO the 240 gauge charges spread throughout the StarMotherkit scaffolding. Analogous to the 240 golden ratio edge length (120Φ + 120Φ2) tetrahedra that form the volume of the disdyakis.
Tony Smith and Klee Irwin present compelling evidence using the regular tetrahedral qubit approach to build the Gosset, it seems they do accept the possibility of a quasicrystal approach.


The Council of Nine via Marina Jacobi on Universal Magma

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.

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."

Space-Time Manifold
[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.

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.

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.

The European Space Agency's Integral gamma ray observatory has found  sub-Planck 'graininess' at least to the order of 13 magnitudes smaller than Planck. Quantizable units.

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."

 

Plasma Cosmology, a new astronomy

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

Duane Elgin's Living Cosmos: Continuous Creation.

Good summary here by Klee (from quantum Gravity Research Group), explaining how the 8D E8-E8 (Gosset Polytope) projects a code into 4D, defined by golden ratio polychora. Klee and co realized the 8D/Gosset expresses itself in 3D as the Disdyakis + Rhombic Triacontahedron.

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).

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."

The secrets of the individual Ka, Vajra, Diamond Lightbody originated in the ancient mystery schools.

Starchitects create Space Stations [refer Space Station Alpha-X], from energy, similar to the 'energy ball' by Tai Chi practitioners

Stage one Theory: [a] Transdimensional Constants, [b] Starchitecture modelling, [c] understanding fractal field physics, [d] dynamics of the quantum entangled space-time garment, [e] the Mereon Matrix, [f] Earthgrid-intersellar axiatonal lines-plotting stargates.
Stage two Practice: [a] plasmic auric field weaving -  threading & spins (whirling), [b] constructing and animating holographic Starchitectual thoughtforms, [d] propagating longitudinal toroidal knots.

Self-referential languages define the principle of least action, the most efficient codes underlying nature.

The Gosset Polytope (whose 240 vertices define the 240 root vectors of the Lie group E8) is the prime code.Researcher Stephen Phillips  “The Gosset polytope is an 8D-polytope analogue of the disdyakis triacontahedron — a 3D-polytope.”

David Koski “If a rhombic triacontahedron adds 120 phi scaled ‘E’ tetra on all 120 surfaces (making the disdyakis), its volume will be that of the related same size rhombic hexecontahedron.”

Starchitecture models numerous transformations from triacont to r. hexeconta using golden tetra and golden rhomboids

Phillips summarises "The inevitable conclusion to be drawn is that the Ultimate Physical Atom (UPA)  is, indeed, an E8×E8' heterotic superstring the symmetry of whose forces is described by E8. In other words, the Gosset polytope embodies not only the 240 roots of E8 but also the number of circular turns in the 10 helical whorls along which the 240 E8 gauge charges are spread."

Donald Casper & Eric Fontano’s; '5-fold Symmetries';“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.”

Vardeny, Nahata and Agrawal’s;  'Optics of photonic quasicrystal';The phi tetrahedron is prime Brilluion zone, capable of the transmission, steering, manipulation & control of EM radiation. The photonic quasicrystal refracts, reflects, defracts, or absorbs electromagnetic
radiation at individual frequencies.A. Scott and C. Cavesprobe the sub-Planck phase-space structure defining teleportation high fidelity.