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Geometry & Algebra

The Eigenvalues of Reality

DOI
10.5281/zenodo.19016122
Read full paper on Zenodo →

This paper derives the dark energy equation of state from the frustration parameter of the 600-cell spectrum. The frustration ε(x) = 3(1−x)/[5(9+x)] characterises the degree to which the 600-cell's eigenvalue structure deviates from perfect balance. The dark energy equation of state w₀ ≈ −0.97 follows from the frustration at the axiom's fixed point. This is consistent with the DESI 2024 results suggesting w₀ slightly above −1. The paper also presents the complete eigenvalue structure of the 600-cell, the master level relations ℓ₁ℓ₃ = ℓ₂, ℓ₂ℓ₃ = 5 = Δ, and the four-level chain ×√5, ×φ, ×φ².

\[ w_0 \approx -0.97 \leftarrow \varepsilon(x) = \frac{3(1-x)}{5(9+x)} \]
Key Result
Dark energy equation of state w₀ ≈ −0.97 — consistent with DESI
Precision
DESI-consistent range