This framework demonstrates independent observables in particle physics and cosmology, suggesting new tests for CMB and dark energy.
We present the Six-Dimensional Geometric Field Theory (SDGFT), a unified framework for particle physics and cosmology derived from exactly two topological constants: Δ = 5/24 (Fibonacci-lattice conflict) and δ = 1/24 (lattice tension of the 24-cell polytope). From these two inputs, all other constants emerge through multiplication and exponentiation: the golden ratio φ = (1+√5)/2 arises because Δ/δ = 5, and the fractal attractor dimension D* ≈ 2.797 satisfies a self-referential fixed-point equation. We demonstrate that 16 independent observables in particle physics and cosmology — including the fine-structure constant, lepton mass ratios, CKM mixing angles, neutrino mixing angles, inflationary e-folds, dark energy density, and the Tully-Fisher exponent — are reproduced with zero free geometric parameters. The framework predicts β_iso = (1/6)² = 0.0278 for CMB isocurvature, testable by CMB-S4 in 2035, and w_DE = −D*/3 ≈ −0.932, testable by Euclid in 2030.
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David Besemer (2026) studied this question.
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