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Nature of Sacred Geometries
The tetractys at the heart of Pythagorean philosophy is the key to
deciphering information about the holistic nature of reality that is embodied in some of the sacred geometries
of the world's religions. Through its use, the sacred geometries of the Kabbalistic Tree of Life, the Hindu Sri
Yantra and the five Platonic solids are shown to be analogous. Their equivalence to the table of 64 hexagrams in
the ancient Chinese divinatory system known as 'I Ching' is demonstrated, revealing hitherto unknown meanings of
the latter. These representations of holistic systems are proved to embody the gauge symmetry group
E8×E8 of heterotic superstrings. They are also shown to represent the structure of
superstrings in a way that gives striking confirmation to the paranormal description of these basic units of
matter over a century ago by the Theosophists Annie Besant and C.W. Leadbeater.
slideshows (264 slides) & notes; 25.7 Mb, zipped file.
The Divine Nature of
Analysis of the seven musical scales (the ancient Greek and Church 'modes')
shows that they constitute a holistic system that is prescribed mathematically by the gematria number values of
the ancient Hebrew Divine Names assigned to the ten Sephiroth of the Tree of Life. Their patterns of notes and
intervals are geometrically represented by the inner form of the Tree of Life, the Sri Yantra and their
polyhedral counterpart — the disdyakis triacontahedron. Remakable parallels are drawn between the Greater
Perfect System of ancient Greek music, sacred geometry and the chromosomes of the human cell. Generalizing
Plato's account of the creation of the universe according to the proportions of musical intervals reveals a
remarkable, hitherto unknown, mathematical harmony in the notes of the Pythagorean scale. The musical basis of
Bode's Law governing planetary distances from the Sun is also presented.
Seven PowerPoint slideshows (167 slides) & notes;
14.8 Mb, zipped file.
The Tree of Life Basis of the Human
Skeleton & Meridian/Acupoint System
The Kabbalistic Tree of Life is the representation of Adam
Kadmon, or "Heavenly Man." The numbers of bones in the human axial and appendicular skeletons are
derived by representing the three-dimensional body by three overlapping Trees of Life. These numbers
are embodied in the inner form of the Tree of Life and even in a triangle and a square constructed from
tetractyses. The counterparts of bones in the subtle human anatomy are the 361 classical acupuncture points. They,
too, are identified in the Tree of Life mapping of the human body. What emerges is tantamount to rigorous,
mathematical evidence in support of the biblical statement that human beings are "made in the image of God." This
conclusion, when properly understood, has profound implications.
Two PowerPoint slideshows (76
slides) & notes; 10.8 Mb, zipped file.
Sacred Geometry: the Interface
between Religion and Science
True sacred geometry is the representation in
geometrical form of the Divine Archetypes. The Kabbalistic Tree of Life (Otz Chiim), the Platonic solids,
the Tantric Sri Yantra and the 8×8 array of hexagrams in the Taoist I Ching are shown to be equivalent to one
another, as well as to their polyhedral counterpart — the disdyakis triacontahedron. They embody numbers of great
scientific significance, as well as some numbers that particle physics has yet to discover. Numbers discussed that
these sacred geometries embody are:
137 (approximate reciprocal of the fine-structure constant);
240 (number of non-zero roots of E8);
248 (dimension of E8); 496 (dimension of
E8×E8 & SO(32));
168/336 (circularly polarised waves in a half/whole revolution of each closed
curve in the subquark state of the E8×E8 heterotic superstring (a particle
yet to be discovered);
1680 circularly polarised waves in each closed curve in the subquark state of the
E8×E8 heterotic superstring (to be discovered);
3360 circularly polarised waves in one revolution of the 10 closed curves in the
subquark state of the E8×E8 heterotic superstring (to be discovered);
206 (number of bones in the mature human skeleton);
361 (number of classical acupoints in the 14 acupuncture meridians);
64 (number of types of codons in mRNA and number of types of anticodons in
Two PowerPoint slideshows (146 slides) & notes; 19.2 Mb, zipped
Universal Order in Sacred Geometries
This set of slideshows covers, but extends beyond, the scope
of the material presented in the first set of presentations (see above). They include
conclusive evidence that the 421 polytope, which is known to map the root system of
the exceptional Lie group E8
describing the forces between E8×E8 heterotic
superstrings, not only conforms to the archetypal pattern shown in sacred geometries but also — through its
4-dimensional projection as a compound of two 600-cells — reproduces structural features of the UPA. This is the
basic constituent of the protons & neutrons inside atomic nuclei that was remote-viewed by Annie Besant &
C.W. Leadbeater during the turn of the 20th century and which the author has identified as the as yet undiscovered,
spin-½ subquark state of the E8×E8 heterotic superstring.
Seven PowerPoint slideshows (240 slides) & notes; 129
MB, zipped file.
Here are free downloads of two public PowerPoint presentations given in
2016 about how physics and sacred geometries confirm many details of remote-viewing of subatomic particles by Annie
Besant & Charles W. Leadbeater between 1895 and 1932:
Now available is
a free download of my recent (September 30, 2017) public PowerPoint
presentation about how sacred geometries map the seven cosmic planes of
give my thanks to Rt Rev.
Dr Michael van Buren for making this seminar possible.