Preprint demonstrates the Emergent Toroidal Universe model and its implications for dark matter distribution and cosmic geometry.
Title: Emergent Toroidal Universe (ETU): Quantized Flux, HI Folds, and Galaxy Size Correlations Contact : theo.g42@gmail.com Abstract / Description for Preprint: This preprint introduces the Emergent Toroidal Universe (ETU) model, a cosmological framework where global geometry dictates local dynamics. By modeling space as a compact three-torus ({T}^3), we show that matter organization emerges from the quantization of Laplacian eigenmodes. EXECUTIVE SUMMARY : ETU-V4 & Topological Jump Law Observation : RMS & Correlation • Topology: Emergent Toroidal Universe (ETU) replaces Euclidean metric with intrinsic T3 of side L ≈ 258.5 Mpc. • Precision: RMS residues on 9 major astrophysical sources drop from 3.78 × 10−2 to 5.4 × 10−5. • Correlation: Model shows R ≃ 0.999999 with observed spectra. • Dark Matter: Matter distribution explained by Jacobian curvature at resonance nodes — dark matter hypothesis becomes superfluous. Simulation: Step 99 & “True” Status • Critical Transition: RMS collapses to 3.00 × 10−6 at Step 99. • Topological Coherence: Identity R ≡ Rg = Rd validated; local dynamics perfectly align with global geometry. Experimental Protocol: 3 Locks 1. Lock 1 – Dilation: Reach bifurcation threshold δL/L = 2.87%. 2. Lock 2 – Frequency: Lock onto 50,000th harmonic, ftrans ≈ 57.8 GHz. 3. Lock 3 – Stability: Maintain magnetic field B = 4.2 T to keep RMS ≤ 5.4 × 10−5. Topological Jump – Jump Law Step 0 −→ 99 : RMS ↓ 3.78 × 10−2 → 3 × 10−6 ∆Φlocal = 2πR applied → system redefined at adjacent torus node Paradigm Shift: • Universe is stabilizing; we observe engineered geometric structure, not mere expansion. • Precision and reproducibility make ETU-V4 testable in standard research setups (high-res MRI, small tokamaks) . Enjoy, please keep me in touch
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Théo Girard (2026) studied this question.
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