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Programming Planck units from a virtual electron: a simulation hypothesis


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 \(\Omega = 2.00713494 \ldots\) (\( f_{e} = 4\pi^{2}r^{3}\), \( r = 2^{6} 3 \pi^{2} \alpha \Omega^{5}\)). The mass, space, time, charge units are embedded in \( f_{e}\) according to these ratios; \( M^{9}T^{11}/L^{15} = (AL)^{3}/T\) (\( {\rm units} = 1\)), 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 \( u = \sqrt{({\rm velocity/mass})}\) that also defines the relationships between the SI units: \( {\rm kg}= u^{15}\), \( {\rm m}= u^{-13}\), \( {\rm s}= u^{-30}\), \( {\rm A}= u^{3}\), \( k_{B} = u^{29}\). 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, me, kB) 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.

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Correspondence to Malcolm J. Macleod.

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Macleod, M.J. Programming Planck units from a virtual electron: a simulation hypothesis. Eur. Phys. J. Plus 133, 278 (2018).

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