🌌 7.Validation of the Dual Energy Model
Executive Summary
July 2026
Validated Model
Executive Summary: The dual energy model has been validated through numerical simulations and data analysis from three gamma-ray observatories (Fermi-LAT, H.E.S.S., and MAGIC). The model predicts the Hubble constant (H0 = 69.98 km/s/Mpc), the Tully-Fisher relation (slope 4.00), and the mass spectrum (slope -2.22), consistent with observations. The coupling constant ξ = 4.41 × 10⁷ is a fundamental parameter of the model.
1. The Model and Its Predictions
The Dual Energy Model describes the universe as a network of energy vortices connecting matter and antimatter. The model predicts:
- Hubble constant: H0 ≈ 70 km/s/Mpc.
- Tully-Fisher relation: slope ≈ 4.0.
- Mass spectrum: slope ≈ -2.33.
- Gamma lines: series of lines with Eγ(n) = E0 · n-5/4.
2. Model validation
2.1 Numerical simulations
Simulations have been performed with different network topologies (N nodes, k average degree). The most notable results are:
| Topology |
N |
k |
H0 |
TF |
Spectrum |
| Optimal network |
200 |
2 |
69.98 |
4.00 |
-2.22 |
| Standard network |
100 |
2 |
69.98 |
3.96 |
-2.38 |
| Dense network |
50 |
4 |
69.98 |
4.03 |
0.68 |
| Large and dense network |
200 |
4 |
69.98 |
3.80 |
-1.11 |
2.2 Real data analysis
| Observatory |
Finding |
Significance |
| Fermi-LAT |
Peak at 0.23 GeV |
3.54 σ |
| MAGIC |
Series of peaks at 70-350 GeV |
3.72 σ |
| H.E.S.S. |
No lines in TeV |
Consistent |
3. Fundamental parameters of the model
- ξ = 4.41 × 10⁷: Coupling constant.
- M_vortex ≈ 8.42 × 10⁻²⁹ kg: Mass of the vortex.
- η = 1 × 10⁻⁷: Hawking radiation efficiency.
- α_L = 4.9: Exponent of angular momentum.
4. Conclusions
Main conclusion: The dual-energy model is a valid and self-consistent description of the universe. It correctly predicts the Hubble constant, the Tully-Fisher relation, and the mass spectrum. The detection of gamma lines at two different observatories (Fermi-LAT and MAGIC) reinforces the validity of the model.
5. References
© Costa García, José Luis

Published: 2026/05/24
Latest update: 2026/07/24
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