Dear Dufourny: effectively spacetime-mass, also has fractal characteristics.
The fractality implies symmetry (same configuration), by changing the scale.
Eleven dimensions are needed, like it or not.
Precisely the integer part of the inverse fine structure constant to zero momentum, is a direct function of the possible states of polarization of the photon in 7, 3, and zero-dimensional (time = 0, "static point", ct = x4 = 0 )
The fractal dimension of four dimensions, plays a decisive role in determining the fractional part of the inverse of the fine structure constant (zero momentum)
And like it or not, appear again the extra dimensions, namely the seven non factorizable dimension, nor in Gauus integers, so that quantum entanglement can not "break". This last fact directly implies quark confinement.
[math]2^{3}-1=7=8\; gluons-1[/math]
[math]2^{7}+2^{3}+2^{0}=\left\lfloor \alpha^{-1}\right\rfloor =137
[/math]
137, being a prime number, is factorizable in spherical coordinates (2d holography), for the Gaussian integers, with a real part and a complex or compacted:
[math]137=(11d+4di)(11d-4di)=(4d+11di)(4d-11di)
[/math]
Fibonacci numbers, plays a role.
The first six Fibonacci numbers, the number of divisors of nonzero roots of E8 group, (240), are essential:
[math]\left\{ F_{n}\right\} _{F_{n}/240}=\left\{ 1,1,2,3,5,8\right\}
[/math]
[math]1\rightarrow U(1)\;;\;2\rightarrow SU(2)\;;\;3\rightarrow SU(3)\;;\;5\rightarrow SU(5)=SU(3)\times SU(2)\times U(1)
[/math]
[math]8\rightarrow SU(8)\:;\: SU(8)\neq SU(a)\times SU(b)\:;\;(a,b)