Dear Ray,
I have met here on FQXi ,very very creative minds ,the world needs these extrapolations and that to catalyze the research of truth .A mind which searches is a mind which catalyzes and thus increases the speed of evolution .
I am very happy to see this kind of ideas like yours ,E12 ,the work of Georgina ,Amrit ,Mr Barbour ,Mr Malinowski,and others .It's a real pleasure to read these works ,these concepts ,these ideas .The creativity is so important .
All these extrapolations and discussions are essentials to explore,to discover ,to experiment ,to proof ,to search ....
It's fascinating our Universe and its secrets around us ,in us .
YOU SAY
"E12 is large enough to contain all of these theories: 11-dimensional M-theory, 10-dimensional Octonion Theory, 8-dimensional E8 Theory, Prime Quaternion Theory, and I am certan the list goes on."
I understand ,it's your scale in fact .Yes indeed in this logic the list goes on ...many superimposings ,so many ...
Your perception of a scale is interesting ,the research of truth always near our walls ,our limits .It could be interesting to improve the architecture of these two scale of limits with a spherical superimposing in correlation with the scale what I said before about quat/cosmol numbers and spheres of different volumes.I think with a specific logic spherical architecture superimposing ,we are going to have interestings datas.
YOU SAY
"I think that is the fundamental mechanism behind Spherization Theory. Consider the importance of Kissing Spheres: the 240 roots of E8 are also the number of 7-dimensional kissing spheres in the 8-dimensional space."
Yes indeed a specific spherical fractal ,but complex ,very more complex than this one I think .
It's the space between sphere which are secrets for me ,because it's difficult to imagine the balance between all these spheres and furthermore ,so far of us this ultim spherical architecture.
But we can create a scale ,an approximation .This system will help in all centers of interest I think .All can be studied with a classing ,a good taxonomy of spheres with many parameters .
YOU SAY
"Perhaps you could find some examples to support your theory, similar to Len Malinowski's approach to Scale Relativity."
I suppose some links are possible like with others works I think ,the complementarity is universal and foundamental .Fortunally lol...
Until soon dear friend Ray
sincerely
Steve