The dodecahedron foam is the most regular lattice, which we can met inside of our 3D Universe generation and the number of condensation steps required for its formation is quite limited. Therefore the geometry of real foam driven by principle of least action remain close to dodecahedron structure. It still doesn't fit the 3D space completely, though - which is the reason, why M-theory operates in 10-dimensional space. The another condensation inside of dodecahedron will lead to cubic structure again and we can achieve the same structure by topological inversion of this structure, which follows to AdS5/CFT4 correspondence. The temperature of CMB (i.e. the interior of Universe) corresponds the Hawking radiation of black hole, whose lifespan corresponds the age of our Universe generation and the mass density of which corresponds energy density of vacuum (i.e. the 3rd power of Planck constant for 3D space perspective).

## Tuesday, September 09, 2008

### Sacred geometry and Aether concept

By AWT all structures inside of our Universe are formed as a "jammed structures" of another structures, recursively. The high degree of nested compactification is the source of complexity of observable reality. One of most remarkable features of AWT is its close connection to sacred geometry, the geometry of mutually cicPlatonic solids in the theory of five elements in particular - which is closely related to the heterosis of Aether foam by gradual compactification /condensation of foam gradients (membranes). During shaking of soap foam, the newly created density gradients are formed in the corners of existing ones and this process is completely reversible, if the foam bubbles are filled just by their own vapor:

The odd/atemporal/male (bosonic) symmetry alternates the even/temporal/female (fermionic) one during mutual heterosis. The most symmetric level of particle compactification possible leads to the solid dodecahedral structure of foam, assigned to Prana in Vedantic philosophy ("Aether" or vacuum). the foam bubbles can be approximated by platonic solids, where the dodecahedron is the most complex one in 3D space. The dark matter foam structure and E8 Lie group exhibits this symmetry too. The five-fold (A5) rotational symmetry of icosahedron serves as a symbol of water in sacred geometry of five elements in accordance to icosahedron symmetry of fluids, the glass and water clusters in particular.

The dodecahedron foam is the most regular lattice, which we can met inside of our 3D Universe generation and the number of condensation steps required for its formation is quite limited. Therefore the geometry of real foam driven by principle of least action remain close to dodecahedron structure. It still doesn't fit the 3D space completely, though - which is the reason, why M-theory operates in 10-dimensional space. The another condensation inside of dodecahedron will lead to cubic structure again and we can achieve the same structure by topological inversion of this structure, which follows to AdS5/CFT4 correspondence. The temperature of CMB (i.e. the interior of Universe) corresponds the Hawking radiation of black hole, whose lifespan corresponds the age of our Universe generation and the mass density of which corresponds energy density of vacuum (i.e. the 3rd power of Planck constant for 3D space perspective).

The dodecahedron foam is the most regular lattice, which we can met inside of our 3D Universe generation and the number of condensation steps required for its formation is quite limited. Therefore the geometry of real foam driven by principle of least action remain close to dodecahedron structure. It still doesn't fit the 3D space completely, though - which is the reason, why M-theory operates in 10-dimensional space. The another condensation inside of dodecahedron will lead to cubic structure again and we can achieve the same structure by topological inversion of this structure, which follows to AdS5/CFT4 correspondence. The temperature of CMB (i.e. the interior of Universe) corresponds the Hawking radiation of black hole, whose lifespan corresponds the age of our Universe generation and the mass density of which corresponds energy density of vacuum (i.e. the 3rd power of Planck constant for 3D space perspective).

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## 6 comments:

Zephir,

What do you think, about this?

Delaunay triangulation is related to dynamic mesh approach in computer simulation. The very same thing occurs in Aether or soap foam during shaking as a consequence of symmetry breaking and principle of least action. The thickening of foam shaken is the most common example of emergence phenomena, so we can say, the Universe simulates itself!

In quantum gravity, the LQG theory in particular this concept is used as so called causual dynamic triangulation as an ad-hoc mechanism, how to adjust mass density of spin-loop networks in accordance to energy density. The Heim's model of protosimplex foam is using this approach as well.

What do you think about this?

Hi, Ruggero, it serves as an evidence, dodecahedron structure cannot fill 3D space-time exactly, thus leading into infinitelly nested fractal structure of vacuum foam from 3D perspective.

The Platonic structures relate to discrete and finite subgroups of 3-D rotation group. In particular, they involve the golden mean ratio. There exists a correspondence discovered by McKay between the discrete subgroups and laced Lie algebras. Exceptional Lie groups correspond to tetrahedron, octahedron, and icosahedron in McKay correspondence.

Dodecahedral universe

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