Simulation Hypothesis · Planck Scale · Mathematical Universe

Is God
a Programmer?

If we assign geometrical objects to mass, space and time, and link them via a unit-number relationship, we can build a physical universe from pure mathematical structures. Could a Programmer God have used this approach?

A Universe Simulation Coded at the Planck Scale

The Simulation Hypothesis posits that our reality may be an artificial construction—akin to a computer simulation. The Programmer God variant takes this further: rather than simulating an existing physical world, an external intelligence coded the universe from scratch, beginning with the Big Bang, operating at the deepest possible level—the Planck scale.

For such a deep-universe simulation to work without a physical base reality, the source code must satisfy three constraints:

  1. Physical units (mass, space, time) must emerge from dimensionless mathematical structures within the simulation itself.
  2. Dimensioned constants such as $G$, $h$, $c$, $e$ cannot be fundamental—they are emergent outputs, not inputs.
  3. The model must be independent of any system of units (kg, m, s …) and any artificial numbering system.

This model—built around the mathematical electron—proposes that all of these constraints can be resolved using geometry alone. Remarkably, the entire model requires only one physical constant: the dimensionless fine-structure constant $\alpha$.

Key insight: Mass $M = 1$, Time $T = \pi$, Charge $A = \Omega$ — simple geometrical objects whose unit relationships reproduce the Planck units and, from these, all known physical constants.

Programming Planck Units from a Virtual Electron

Eur. Phys. J. Plus (2018) 133: 278. The base article around which the entire model is built. Demonstrates that Planck units can be derived from a single dimensionless electron formula.

📖 Read on Springer ⬇ Download Complete Model (PDF) 🌐 Wikiversity