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April 2026

The Galois Boundary — From Geometric Partition to Gravitational Thermodynamics

Standard physics distinguishes between numbers that change and those that remain fixed, yet doesn't explain why. This work proposes that Galois conjugation operating on the 600-cell's eigenvalues provides the answer.

Eric McLean · Independent Researcher, Edinburgh · Pentagon Physics · 27 April 2026 · DOI
2Forces derived
120Eigenvalues split
0Free parameters
1Axiom
Key Results

Galois conjugation as the boundary between static and dynamic

Standard physics distinguishes between numbers that change and those that remain fixed, yet doesn't explain why. This work proposes that Galois conjugation operating on the 600-cell's eigenvalues provides the answer. The framework's fixed sector (dimension 94) describes static structure, while the exchanged sector (dimension 26) governs dynamic processes. The Galois Boundary acts as both a selection rule for propagating gauge modes and a thermodynamic horizon. Two forces emerge: gravity from the scalar eigenvalue, electromagnetism from a conjugate pair. Predictions include gravitational coupling within 0.06% accuracy, viscosity-to-entropy ratios, a dark matter signature at 49.9 nanohertz, and gravitational-wave strain attenuation correlated with proton column density.

↗ Read on Zenodo doi:10.5281/zenodo.19816713