Programme Results Papers Solved Tools Pipeline Media News 137 FAQs
Pentagon Physics

Three Levels of Self-Reference

DOI
10.5281/zenodo.19033377
Read full paper on Zenodo →

Physical law operates at three distinct levels. The first level is the axiom — σ = 1/(1+σ) — which has no external input and generates everything from self-reference alone. The second level is dynamics — the Lagrangian, the equations of motion, the spectrum of the 600-cell — which is forced by the axiom. The third level is measurement — the human activity of observing, quantifying, and modelling — which introduces the correspondence layer. The Standard Model operates entirely at the third level. Pentagon Physics traces every observable back to the first. Understanding which level a claim belongs to determines whether it is a theorem or a measurement.

\[ \text{Axiom} \to \text{Dynamics} \to \text{Measurement} \]
Key Result
Three-level taxonomy of physical law — theorem vs measurement
Precision
Conceptual framework paper