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Index of Web Page Articles

(The listing of articles follows the chronological order of their writing)

 

Please realize that these research articles contain NO theories or models as such, although some do make connections to certain theories of particle physics. What is presented is not theorizing or ad hoc speculation but something far more significant and convincing: rigorous analysis whose conclusions are as irrefutable as any proof of an axiom of Euclidean geometry. The wondrous, mathematical properties of truly sacred geometries (as opposed to what many books and websites glibly refer to as such without evidence) speak to their transcendental origin. Ostensible evidence of divine design should not be ignored simply because of an unwillingness to face the philosophical consequences of its existence or because of fear of criticism and ridicule by one's friends and colleagues if one endorses it, as is the norm in academic circles. The research presented here is not subject to the limitations of controversial, scientific theorizing; the sceptic cannot question whether it is true or falsifiable, for it does not amount to a mere theory or speculative model to be tested by experiments. What is being discussed is far more profound. Any criticism he may make that no testifiable predictions are offered is invalid because it fails to understand that what this website offers is not a mere theory with hypotheses or assumptions that need testing. Instead, it provides rigorous, mathematical analysis of various objects traditionally regarded as examples of sacred geometry (as well as some objects proved here to have this status). This analysis yields undeniable evidence that these objects possess in common so many properties analogous to certain paranormal observations of subatomic particles and to the group mathematics underlying superstrings that it is implausible in the extreme to dismiss them as due only to coincidence. All sceptics can do is to admit that the exact, mathematical results demonstrating detailed parallels between sacred geometries are indicative of an underlying, coherent design of transcendental origin, for there is no other sensible explanation available to them. Readers must draw their own conclusions from the emergence of such spectacular design in these research articles. In particular, sceptics must ask themselves how it can exist at all in objects with an ancient, religious provenance, given their adherence to a philosophical view that either denies or is agnostic towards the age-old question of the existence of God. This beautiful design has not been invented by the author; it just is — and too much so to be due to chance. That existence needs explanation, not absurd appeals to a miraculous series of coincidences. Religion and science are complementary, not antithetical. They are like the poles of a magnet. The articles presented here reveal the nature of this magnet.

Article 1:
The Pythagorean nature of superstring & bosonic string theories.

Article 2:
The physical plane and its relation to the superstring and space-time.

Article 3:
The sacred geometry of the Platonic solids.

Article 4:
The Godnames prescribe the inner Tree of Life.

Article 5:
The superstring as microcosm of the spiritual macrocosm.

Article 6:
10-string structure of the superstring encoded in the 41-tree.

Article 7:
Encoding of the fine-structure number 137, the superstring parameters 248 & 168 and the human skeleton in the first (5+5) polygons of the inner Tree of Life.

Article 8:
Some encodings of the superstring structural parameters 168 & 251 in Tree of Life patterns.

Article 9:
How the square encodes the superstring parameters 168 & 248.

Article 10:
How the dodecagon encodes the superstring parameters 168, 248, 336 & 1680.



Article 11:
Plato's Lambda - its meaning, generalisation and connection to the Tree of Life.

Article 12:
New Pythagorean aspects of music and their connection to superstrings.

Article 13:
The music of superstrings.

Article 14:
Why the ancient Greek musical modes are sacred.

Article 15:
The mathematical connection between superstrings and their micro-psi description: a pointer towards M-theory.

Article 16:
The tone intervals of the seven octave species and their correspondence with octonion algebra and superstrings.

Article 17:
The logarithmic spiral basis of the Titius-Bode Law.

Article 18:
Encoding of planetary distances and superstring structural parameters in the I Ching table.

Article 19:
I Ching and the eight-fold way.

Article 20:
Algebraic, arithmetic & geometric aspects of the I Ching table.



Article 21:
Isomorphism between the I Ching table, the 3×3×3 array of cubes and the Klein Configuration.

Article 22:
The disdyakis triacontahedron as the 3-dimensional counterpart of the inner Tree of Life.

Article 23:
The polyhedral Tree of Life.

Article 24:
More evidence for the disdyakis triacontahedron as the 3-dimensional realisation of the inner Tree of Life and its manifestation in the E8×E8 heterotic superstring.

Article 25:
The 33 vertex sheets of the disdyakis triacontahedron signify the 33 tree levels of ten overlapping Trees of Life.

Article 26:
How the seven musical scales relate to the disdyakis triacontahedron.

Article 27:
How the disdyakis triacontahedron embodies the structural parameter 1680 of the E8×E8 heterotic superstring.

Article 28:
Encoding of the roots of the superstring gauge symmetry group E8 in the inner Tree of Life and the disdyakis triacontahedron.

Article 29:
The triakis tetrahedron and the disdyakis triacontahedron embody the fine-structure constant and the structural parameter of the heterotic superstring.

Article 30:
The equivalence of the triakis tetrahedron, disdyakis triacontahedron and Plato's 'Lambda tetractys'.



Article 31:
The musical nature of the polyhedral Tree of Life.

Article 32:
Derivation of the bone and classical acupuncture compositions of the human body and their relationship to the seven musical scales.

Article 33:
The human axial skeleton is the trunk of the Tree of Life.

Article 34:
The seven layers of vertices in the disdyakis triacontahedron encode the 206 bones of the human skeleton, the superstring symmetry groups E8 & E8×E8 and the superstring structural parameters 168, 336, 840 & 1680.

Article 35:
The Tree of Life nature of the Sri Yantra and some of its scientific meanings.

Article 36:
The Sri Yantra-like pattern of the 15 layers of vertices in the disdyakis triacontahedron and its scientific meaning.

Article 37:
The seven octaves of the seven musical scales are a Tree of Life pattern mirrored in the disdyakis triacontahedron.

Article 38:
The geometrization of the seven musical scales and its mathematical implications.

Article 39:
The correspondence between the inner Tree of Life, the Sri Yantra & the I Ching diagram and their realization in the seven musical scales.

Article 40 (Part 1):
The unification of all sacred geometries and its implication for particle physics.

Article 40 (Part 2):
The unification of all sacred geometries and its implication for particle physics.

Article 40 (Part 3):
The unification of all sacred geometries and its implication for particle physics.

Article 40 (Part 4):
The unification of all sacred geometries and its implication for particle physics.



Article 41:
The pyramidal form of the inner Tree of Life, its counterparts and its encoding of the human skeleton.

Article 42:
Comparison of the eight Church musical modes and the human skeleton as holistic systems.

Article 43:
The Tree of Life nature of the {3,7} tessellation of the 168 automorphisms of the Klein quartic on the 3-torus.

Article 44:
The polyhedral CTOL and its embedding of the 496 roots of the E8×E8 heterotic superstring gauge symmetry group.

Article 45:
The 1680 circularly polarized oscillations in the E8×E8 heterotic superstring as 1680 harmonics of the Pythagorean musical scale.

Article 46:
How sacred geometries encode the 64 codons of mRNA and the 64 anticodons of tRNA.

Article 47 (Part 1):
How sacred geometries embody structural/dynamical parameters of the E8×E8' heterotic superstring and the codon pattern of DNA.

Article 47 (Part 2):
How sacred geometries embody structural/dynamical parameters of the E8×E8' heterotic superstring and the codon pattern of DNA.

Article 48:
The holistic nature of the first (4+4) regular polygons of the inner Tree of Life.

Article 49:
How some sacred geometries are equivalent maps of all levels of reality.

Article 50 (Part 1):
The Golden Ratio, Fibonacci & Lucas numbers in sacred geometries.

Article 50 (Part 2):
The Golden Ratio, Fibonacci & Lucas numbers in sacred geometries.



Article 51:
The connection between Fibonacci numbers and the Pythagorean musical scale.

Article 52:
How EHYEH, YAH & YAHWEH prescribe the root structure & dimension of E8.

A breakthrough in relating sacred geometries to the superstring constituents of quarks.
Article 53:
The 10-fold division within five sacred geometries and its manifestation in the ten whorls of the UPA, the subquark state of the E8×E8 heterotic superstring.

Article 54:
The combined outer & inner Trees of Life.

Powerful evidence that the Platonic solids embody the superstring symmetry groups E8 & E8×E8, as well as numbers obtained by remote-viewing superstrings over 100 years ago.
Article 55:
The Platonic solids embody the five exceptional Lie groups and the structure of the subquark state of the E8×E8 heterotic superstring.

Article 56:
The tetractys embodies parameters of holistic systems.

Article 57:
The rows of yods in the tetractys sectors of the first four enfolded polygons of the inner Tree of Life have 496 permutations.

Article 58:
The first 10 regular polygons as the geometrical analogue of the 10 Sephiroth of the Tree of Life.

Article 59:
The (3+3) enfolded polygons absent from the inner Tree of Life embody the root structure of E8×E8.

Article 60:
Some properties of the (7+7) Type C polygons of the inner Tree of Life.


Article 61:
The Tree of Life basis of an astrological age.

A breakthrough in establishing the mathematical connection between superstrings remote-viewed over a century ago and later discoveries in the group theory of their interactions.
Article 62:
The 10 disjoint 24-cells in the two 600-cells making up the Gosset 421 polytope as the polytope basis of the 240 root vectors of E8 and the 10 whorls of the UPA/E8×E8 heterotic superstring.

Article 63:
The sacred geometrical nature of the 421 polytope.

Article 64:
The 24:24, 84:84 & 168:168 divisions in sacred geometries and their manifestation in the UPA/subquark superstring.

Article 65:
Formulae for the geometrical and yod populations of the outer and inner forms of N Trees of Life/N-tree composed of any order of polygon.

Article 66:
The holistic nature of the 16-cell.

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