Abstract

The simulation hypothesis proposes that all of reality is an artificial simulation. In this article I describe a simulation model that derives Planck level units as geometrical forms from a virtual (dimensionless) electron formula $f_e$ that is constructed from 2 unit-less mathematical constants; the fine structure constant $\alpha$ and $\Omega$ = 2.00713494... ($f_e = 4\pi^2r^3, r = 2^6 3 \pi^2 \alpha \Omega^5$). The mass, space, time, charge units are embedded in $f_e$ according to these ratio; ${M^9T^{11}/L^{15}} = (AL)^3/T$ (units = 1), giving mass M=1, time T=$2\pi$, length L=$2\pi^2\Omega^2$, ampere A = $(4\pi \Omega)^3/\alpha$. 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 to balance the above. The 5 SI units $kg, m, s, A, K$ are derived from a single unit u = sqrt(velocity/mass) that also defines the relationships between the SI units; kg = $u^{15}$, m = $u^{-13}$, s = $u^{-30}$, A = $u^{3}$, $k_B = u^{29}$. To convert MLTA from the above $\alpha, \Omega$ geometries to their respective SI Planck unit numerical values (and thus solve the dimensioned physical constants $G, h, e, c, m_e, k_B$) requires an additional 2 unit-dependent scalars. Results are consistent with CODATA 2014. The rationale for the virtual electron was derived using the sqrt of momentum P and a black-hole electron model as a function of magnetic-monopoles AL (ampere-meters) and time T.