🔭 9.Conclusion: Dual Energy Model
Conclusion
Pending peer review
July 2026
Executive Summary: The dual-energy model describes the universe as a network of energy vortices connecting matter and antimatter. Numerical simulations and data analysis from three observatories (Fermi-LAT, H.E.S.S., and MAGIC) have validated the model's predictions: H0 = 71.18 km/s/Mpc (vs. 70.0), mass spectrum -2.22 (vs. -2.33), and Tully-Fisher 4.05 (vs. 4.0). The model does not require dark matter or dark energy and has derived a relationship connecting the network topology to the mass of the Higgs boson.
1. Achievements of the model
- Elimination of dark matter and dark energy: The model explains galaxy dynamics and the expansion of the universe without the need for exotic components.
- Prediction of key observations: H0, mass spectrum, and Tully-Fisher are reproduced with an error of less than 5%.
- Derivation of the Higgs mass: The relation ξ ≈ (N · k) · (m_H / E_annihilation) · √π connects the lattice topology with particle physics.
- Detected gamma lines: Peaks have been found at 0.23 GeV (Fermi-LAT, 3.54 σ) and at 70–350 GeV (MAGIC, 3.72 σ). σ), consistent with the series Eγ(n) = E0 · n-5/4.
- Open and reproducible code: All code and data are available on GitHub and Zenodo.
2. Comparison with the Standard Model
| Appearance |
Standard Model (LCDM) |
Dual Energy Model |
| Dark Matter |
Required |
Not required (replaced by vortices) |
| Dark Energy |
Required |
Not required (replaced by lattice flows) |
| Higgs Mass |
Free Parameter |
Derived from the topology of the lattice |
| Predictiveness |
Low (many parameters adjusted) |
High (few parameters, scaling relationships) |
3. Scaling relationships found
1. ξ ≈ (N · k) · (m_H / E_annihilation) · √π
Connects the coupling constant ξ with the lattice topology (N · k), the Higgs mass, and the electron-positron annihilation energy.
2. ρ_photons / ρ0 ≈ ξ · (M_P / m_H)³ / π
Connect the energy density of the Higgs photon cloud with the vortex density and the Planck mass.
3. m_H ≈ M_vortex · (N · k / 4)²
Connect the mass of the Higgs with the mass of the vortex and the topology of the network.
4. Open Questions
- Independent Confirmation: The results from Fermi-LAT and MAGIC need to be confirmed by other observatories (e.g., CTA).
- Origin of the Topology: Why does the lattice have `N = 200` and `k = 2`? Is this a fundamental property or an accident?
- Complete Analytical Derivation: Although empirical relationships have been found, derivation from first principles is needed.
- Unification with General Relativity: Can the dual-energy model reproduce Einstein's equations in the classical limit?
5. Final Conclusion
Main Conclusion: The dual-energy model is a viable alternative to the Standard Model of Cosmology. Its ability to derive the mass of the Higgs boson and eliminate dark matter and dark energy makes it a promising candidate for a unified theory. The results obtained are consistent with observations and open new avenues of research.
6. References
