About the Model

Background on the Programmer God Simulation Hypothesis, the mathematical-electron model, the author, and the published research behind this site.

The Mathematical Electron Approach

The core insight is that a single dimensionless formula — $\psi = 4\pi^2 q^3$ — encodes geometrical objects $M$, $L$, $T$, $A$ that correspond to the Planck units for mass, length, time, and charge.

From these four geometrical objects, and using only the fine-structure constant $\alpha$ as the sole physical input, all known Planck units and all fundamental physical constants can be derived.

This means the physical constants ($G$, $h$, $c$, $e$ …) are not independent fundamental constants — they are emergent properties of the underlying geometry. A deep implication of the Simulation Hypothesis.

The model uses a geometrical base-15 structure — unlike any other framework in contemporary mathematics or physics — characterised by the rail $3M + 2T = -15$.

Malcolm Macleod

Malcolm Macleod has been developing this Simulation Hypothesis model since 2003. The foundational article was peer-reviewed and published in 2018 in the European Physical Journal Plus.

The model is developed as an independent research project. All simulation code is made freely available under the Creative Commons licence to encourage scientific engagement and reproduction.

Comments, questions, and collaboration inquiries are welcome via the Wikiversity talk pages.


Peer-Reviewed Article — 2018

Programming Planck Units from a Virtual Electron; a Simulation Hypothesis

Malcolm Macleod · European Physical Journal Plus (2018) 133: 278 · DOI: 10.1140/epjp/i2018-12094-x

The base paper demonstrating that Planck units can be derived from a single dimensionless mathematical-electron formula, using only $\alpha$, $\pi$, and Euler's number. All subsequent articles are extensions of this foundational work.

📖 Read on Springer ⬇ Complete Model PDF


Creative Commons BY-NC-SA 4.0

All simulation code on this site is available under the Creative Commons Attribution–NonCommercial–ShareAlike 4.0 licence. This permits modification and redistribution with attribution to the author, for non-commercial purposes, provided derivative works carry the same licence.

The articles and written content are copyright © 2003–2026 Malcolm Macleod. All rights reserved.