Digital Physics series: The Programmer God

The question as to whether our entire universe is a Matrix-style simulation is, like God, considered to be a philosophical debate, for it is presumed that it cannot be proved (or disproved). However there are anomalies in the physical constants (G, h, c, e ...) that constitute evidence we are in a simulation (although physical constants these anomalies cannot be explained by a physical universe). Furthermore they suggest coding and this implies a Programmer. From these anomalies we can reverse engineer parts of the Programmer's source code. This text is a discussion of that source code.

Caveat. Readers should note that any candidate for a Programmer-God simulation-universe source code must satisfy these conditions;
1. It can generate physical structures from mathematical forms.
2. The sum universe is dimensionless (simply data on a celestial hard disk).
3. We must be able to use it to derive the laws of physics (because the source code is the origin of the laws of nature, and the laws of physics are our observations of the laws of nature).
4. The mathematical logic must be unknown to us (the Programmer is a non-human intelligence).
5. The coding should have an 'elegance' commensurate with the Programmer's celestial level of skill.

This model—built around a 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 and 2 mathematical constants; pi and e.

THE SOURCE CODE

digital physics

PLANCK SCALE

The universe os (operating system) runs at the Planck scale. At this scale the universe is mathematical, at the quantum scale the physical universe appears (whilst the electron is a mathematical particle, its parameters are physical), and at the macro scale the universe is physical.

MTP -- SOLVING PROBLEM #1

The fundamental problem for any Programmer God is creating actual physical dimensions (of mass, space and time), from mathematical structures. Here I introduce a geometrical artifice that the Programmer could have used. It supposes (requires) a relationship between mass, space and time.

ORBITAL CODE, C & PYTHON

To test the model I wrote simulations in C and Python for gravitational and atomic orbitals—2-body, elliptical, n-body, atomic transitions, and Kepler derivations. Free to use under CC BY-NC-SA 4.0.

WIKI

A comprehensive introduction to the mathematics of this model is now in wiki format (to take advantage of the link structure). A (.pdf) of each page is also available for offline analysis.

MEDIA

Google Gemini AI does podcasts of acceptable quality in english and dubious quality on other languages, but improving.

ARTICLES

Seven peer-reviewed and preprint articles covering the CMB, Relativity, Gravitational Orbitals, the H-atom, Physical Constant Anomalies, and Quarks. All are extensions of the base mathematical-electron article.

UPDATES

(1.2026). Complete articles. All the articles have been compiled into 1 pdf (Programmer-God_Simulation-Hypothesis_Complete-Model-2025.pdf) for AI analysis.

(12.2025). Complete pages. A comprehensive introduction to the mathematics of this model is now in wiki format (to take advantage of the wiki link structure).

(11.2025). Orbital simulation source codes (C and Python). The source codes (see wiki Gravitational and atomic rotating orbital pairing) are now linked under the tab 'orbitals'. I have to do some debugging so from now I will date them to show the latest version. Still working on this section.

RESEARCH ARTICLES

All articles extend the base mathematical-electron model (published in the European Physical Journal Plus, 2018). Each investigates a different aspect of the Programmer God Simulation Hypothesis — modelling the universe as a mathematical structure operating at the Planck scale, requiring only the fine-structure constant alpha. Each article is also available as a preprint download and, where applicable, a Wikiversity companion page.

Articles

ARTICLE 1 — COSMOLOGY

Planck Unit Scaffolding Correlates with the Cosmic Microwave Background

Compares a hypothetical Planck-unit universe (sans particles) with the Cosmic Microwave Background. Using only Planck mass, Planck length, and a spiral geometry as the rule set, the model derives estimates for the CMB temperature, radiation energy density, and cold dark matter density consistent with observational values. The Casimir force equation reduces to the radiation density equation, implying finite universal boundaries.

ARTICLE 2 — RELATIVITY

Planck Unit Scaffolding Correlates with the Cosmic Microwave Background

Relativity is recast as a translation between two coordinate systems: relativistic 3-D space-time residing on a non-relativistic Planck-unit lattice within an expanding 4-axis hyper-sphere. Because all particles travel at in the hyper-sphere frame, motion between particles is relative — and photons, lacking a mass state, travel only laterally across the surface. Relativity becomes the mathematics of perspective between these two frames.

ARTICLE 3 — GRAVITY

Gravitational Orbits from N-Body Rotating Particle–Particle Orbital Pairs

A geometric model in which gravitational and atomic orbits emerge from time-averaged networks of rotating point-to-point orbital pairs. Macroscopic objects are discretized into Planck-mass points, each forming independent orbital pairs with all other points. Using only alpha and Planck units, the model reproduces Kepler's law and anomalous orbital precession without requiring a gravitational force.

ARTICLE 4 — ATOMIC PHYSICS

Geometrical Origins of Quantization in H-Atom Electron Transitions

A geometric reformulation of Planck units and fundamental constants using an integer-valued unit-number map and a small set of dimensionless generators ( ). An exhaustive integer-space search over admissible unit-number assignments collapses onto a unique equivalence class characterised by a base-15 rail.

ARTICLE 6 — EVIDENCE

Do Anomalies in the Physical Constants Constitute Evidence of Coding?

The geometric framework yields a unified table of constants where cancellation rules enforce dimensionless invariants. Joint improbabilities are reported for the dimensionless-combination suite, the dimensioned-constant suite, and electron-parameter reconstruction — interpreted through a Minimum Description Length lens as evidence of compact coding.

ARTICLE 7 — QUARKS

Geometric Origin of Quarks — The Mathematical Electron Extended

Embedded within the mathematical electron formula are geometrical objects with Planck-unit attributes. The fine-structure constant with velocity and momentum combine into a magnetic monopole geometry, giving the electron a internal structure suggesting quarks are related to monopoles. A quark model constructed from these objects has implications for matter–antimatter asymmetry.