About space compactification
In Edit Now10:48, 20 May 2014 (MDT)
The platonic solids neatly transform, visually, into a lesser or greater regular solid with a lesser or greater power of the Golden ratio used to calculate the vertices.
'Space compactification' is a term from research about electron fields confined to a conducting layer of hexagonally connected carbon atoms (graphene). An electron's 'signature' will loose energy in 2 dimensions (graphene layer), and gain mass along one dimension, if graphene hosting an electron is folded mechanically to cause a cylindrical field expression of the formerly planar field expression of the electron in graphene.
In time, pending the way things flow, the principle of space compactification may afford an organizing of null-structure toward exotic macro virtual particle formation (Skyrme magnon).
- Dynamical_Mass_Generation —an abstract about electron behavior in a 2D conductor (graphene) when folded to form a cylindrical field.
Fig. 1. A dodecahedron (12 pentagonal sides) (2.17 megabyte GIF animation) expanding/collapsing when Phi is changed (Phi^-1, Phi^0, Phi^1). The non-orthogonal edges of the dodecahedron stretch/shrink to create a rotating volume, compelled by the motion of the non-stretching (red, green, and blue) edges that are each mutually orthogonal.
Fig. 2. An icosahedron (20 triangular faces) expanding/collapsing from an octahedron (eight triangular faces). In this (18.7 megabyte) animation, edges of the icosahedron widen from one end to form a new triangular face, growing orthogonal pairs of sides, expanding a rotating volume.
The pentagonal-faced dodecahedron compresses to a six-faced cube, while the triangular-faced icosahedron compresses to an eight-faced octahedron.
Platonic form Faces Vertices Edges ---(Phi warp)---> Platonic form Faces Vertices Edges
------- ---------- ------- ------------- ----- -------- -------
Dodecahedron 12 20 30 ---(Phi warp)---> Cube 6 8 12
Icosahedron 20 12 30 ---(Phi warp)---> Octagon 8 6 12
Nice Platonic Solids reference: http://www.mathsisfun.com/platonic_solids.html
Big note: if either of the 'space compactifications' linked above have a face 'pinned' to an external, fixed location, then the volume of the whole shrinking-space decreases on one axis, while the volume "wiggles", or deforms, as a "twisting space" around that axis. The axis is the perpendicular line through the center of the fixed-face. This volume, if associated with a mass, will associate the inertia change of the mass with the reaction of the system to the source cause of the work involved.
Bigger note:note: In reverse-effect of spin-mass coupling by electronic-compression, is a mass that produces an effect on an external coupling when the mass is made to spin (during rotary acceleration/deceleration). Henry Wallace discovered mass repels other mass by a field effect produced during acceleration/deceleration of the rate of rotation of a spinning mass.
…that, if there is an inertial-force exchange between accelerating masses, that the atoms "see" each the other as non-compressible cubic structures --if the inertial-interaction is caused by valence electron shells. Doubtful.
The 'inertial-force-exchange' would likely be an 'inner vision' of one nucleon to another nucleon, during delta-inertia events. One nucleon would see then, if they were interacting inertially, the spherical region of the nucleon of another as a cubical affair. The obvious term would not be black particle, but graviton. (A connection/disconnection event associated with exchange of potential for a new unit of inertia of the potential storage system.)
> On 5/16/2014 2:19 PM, A. wrote:
>> Regarding your comment....
>> I recently discovered a paper on real measurements of imaged atoms
>> compressing to cubic units from octahedral beginnings under the
>> pressure of the imaging beam.[citation goes here] I'll prepare more
>> links on this when the round tuits arrive —need study time.
>> Do you have anything more on that? :)
>> Kind Regards,