Programming Planck units from a virtual (black-hole) electron; a Simulation Hypothesis

The simulation hypothesis proposes that all of reality is an artificial simulation. In this article I describe a programmable simulation method that constructs the Planck units as geometrical forms derived from a virtual electron $f_e$ ($f_e = 4\pi^2r^3; r ={2^6 3 \pi^2 \alpha \Omega^5}$, units = 1), itself a function of 2 unit-less mathematical constants; the fine structure constant $\alpha$ and $\Omega$ = 2.0071349496... The Planck units are embedded in $f_e$ according to these ratios; $M^9T^{11}/L^{15}$, $(AL)^3/T$ ... units = 1; giving geometries mass M=1, time T=$2\pi$, velocity V = $2\pi\Omega^2$, length L=$2\pi^2\Omega^2$ ... We can thus for example create as much mass M as we wish but with the proviso that we create an equivalent space L and time T in accordance with these ratio. The 5 SI units $kg, m, s, A, K$ are replaced by a single unit $u$ that defines the relationships between the SI units; kg = $u^{15}$, m= $u^{-13}$, s = $u^{-30}$, A = $u^{3}$ ... The units for $u$ are sqrt(velocity/mass). To convert from base (Planck) geometries to their respective SI numerical values requires 2 dimensioned scalars with which we can then solve the SI physical constants $G, h, e, c, m_e, k_B$. Results are consistent with CODATA 2014 (see table, numerical scalars $k, v$ from $m_P$ and $c$). The rationale for the virtual electron was derived via the sqrt of Planck momentum and a black-hole electron model as a function of magnetic-monopoles AL and time T. In summary we can reproduce both the physical constants $G, h, e, c, m_e, k_B$ and the SI units $kg, m, s, A, K$ via a this virtual electron using 2 mathematical constants ($\alpha, \Omega$), 2 dimensioned scalars (whose numerical values depend on the system of units used) and 1 dimensioned unit $u$.
Keywords black hole electron  Mathematical Universe  fine structure constant alpha  Planck units  physical constants  Simulated Universe  Planck momentum  magnetic monopole  Virtual Universe  Computer Universe
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