1.618 = Atomic Pitch

[Rybo]

http://nanotechnologytoday.blogspot....n-quantum.html

..."The first two notes show a perfect relationship with each other.
Their frequencies (pitch) are in the ratio of 1.618…, which is the
golden ratio famous from art and architecture." Radu Coldea is
convinced that this is no coincidence. "It reflects a beautiful
property of the quantum system – a hidden symmetry. Actually quite a
special one called E8 by mathematicians, and this is its first
observation in a material", he explains.

I hope to post graphic from Rybonics that I believe correlates to this new info. Rybo

[Rybo]

Ok here is lame view of the 6 phi-ratioed rectangles as defined by the 8 overlapping icosahedra.

The internal tetrahedron is also defined by the same 8 overlaping icosahedra. Rybo

[Rybo]

http://www.goldennumber.net/quantum-E8.htm

..."The red lines were added to the E8 illustratation by using PhiMatrix software, where each red line is in a phi relationship, that is 1.618 of the diameter of the one before it.

...."Here the tension comes from the interaction between spins causing them to magnetically resonate. For these interactions we found a series (scale) of resonant notes: The first two notes show a perfect relationship with each other. Their frequencies (pitch) are in the ratio of 1.618…, which is the golden ratio famous from art and architecture." Radu Coldea is convinced that this is no coincidence. "It reflects a beautiful property of the quantum system -- a hidden symmetry. Actually quite a special one called E8 by mathematicians, and this is its first observation in a material," he explains.".....

[Rybo]

Drifter posted this link in a "Consciousness" thread with no comments to show any relevance to anything that thread. I'm posting it here because of its relevance to E8 ergo the 1.618 phi pitch of the atom and TOE's. Thx Drifter for the reminder of this Wolfram link.
http://mathworld.wolfram.com/600-Cell.html

4D--4 spatial dimensions ergo XYZ as abc and d is the fourth spatial dimension

120 nodal vertexial events---24 * 5 = 120
..{ 5-fold overlap with the 4-fold cubo-octahedron 24 edges }.....

720 edges( vectors )--2 * 360 = 720
..{ two great circles and/or the surface degrees of tetrahedron }....

600 tetrahedra---10 * 60 = 600
..{ truncated 2-frequency icosaehedron = Fullerene with 60 carbon atoms }...

One of six regular polychora
...{ there are only three regular polyhedra so hyper-dimension has doubling effect }....

The vertices of the 600-cell with circumradius 2 and edge length 2/phi, where phi is the golden ratio, are given by the following sets (Coxeter 1969, pp. 403-404).
..{ icosahedron is one of only three primary and regular stable polyhedra of universe }...

Hypericosaehdron is directly related if no the main geometric expression of E8.

In geometry, we deal with inter-transformations and duals of polygons, polyhedra and polychora. What was the number nodal vertexial events on one polyhedron become the edges surface openings or sub-volumetric polyhedra of another ie.;

0D vertexes become 1D edges, 1D edges become 2D openings, 2D openings become 3D volumes and 3D volumes become 4D sub-volumes( cells ) within volumes( cells ) etc.....

Rybo