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SCI.FRACTALS
The von Koch flake has border dimension s=Log[4]/Log[3] It is D_6/SU(3)
From
Roger Bagula
@21:1/5 to
All
on Tue Oct 5 07:16:31 2021
The von Koch flake has border dimension s=Log[4]/Log[3]
It is D_6/SU(3) matter like.
The Sierpinski gasket has dimension s=Log[3][/Log[2]
It is U(1)*SU(2) weak and electromagnetic like.
Putting them together in one Levy distribution complex surface gives an
s=2 percolation surface
with for a Weeks type hyperbolic 3 manifold universe breaking down into
a standard model U(1)*SU(2)*SU(3).
The galaxy distribution of Peeples-Mandelbrot at real s~1.23 and complex
lepton dimension of s=Log[3]/Log[2]
gives an expanding percolation surface between the higher energy
symmetry of the early universe and the dust cloud of particles
the percolation produced:
https://www.wolframcloud.com/obj/rlbagulatftn/Published/Levy_generatorfunction_complex_dimension_m3_vonKoch_Sierpinski.nb
https://www.wolframcloud.com/obj/rlbagulatftn/Published/J_1000_Levy_generator_function_complex_dimension_von_Koch_Sierpinski_m3.nb
Pictures links:
https://www.pinterest.com/pin/293648838212674651/
https://www.pinterest.com/pin/293648838212674668/
Complex Levy generator function:
f[nz_]=-(((0.121657 - 0.158077 I) E^(-((
0.609896 + 0.792481 I)/(-3 + nz))) (-((1.21979 + 1.58496 I)/(
3 - nz)))^(3/2) (3 - nz))/((-3 + nz) nz))
--- SoupGate-Win32 v1.05
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