🔬 8.The Higgs as an emergent property of the vortex lattice

Article July 2026 Dual Energy Model

Executive Summary: In the dual energy model, the Higgs boson mass is not a free parameter, but an emergent property of the vortex lattice. A universal scaling relationship has been found that connects the Higgs mass with the vortex density, the coupling constant ξ, the Planck mass M_P, and the constant π.

1. The Higgs Problem in the Standard Model

In the Standard Model of particle physics, the mass of the Higgs boson is a free parameter. It is introduced manually to make the model match observations, but it is not derived from any underlying theory. This is one of the major limitations of the Standard Model.

2. The Higgs in the Dual-Energy Model

In the dual-energy model, the universe is a network of energy vortices. Mass is not an intrinsic property, but an emergent property of the network. The Higgs boson is a collective excitation of this lattice, and its mass is determined by the properties of the vortices. The relationship found is: ρ_photons / ρ0 ≈ ξ · (M_P / m_H)³ / π Where: ρ_photons is the energy density of the photon cloud that gives rise to the Higgs boson. ρ0 is the energy density of the vortex in the simulation. ξ is the coupling constant of the vortex lattice. M_P is the Planck mass. m_H is the mass of the Higgs.

  • π is the geometric constant.
  • 3. Numerical Validation

    The relationship has been tested on different network topologies (N nodes, k average degree) and has remained constant:

    Topology N k Actual Factor Predicted Factor Discrep.
    Standard Network 100 2 1.15 × 10⁵⁸ 1.31 × 10⁵⁸ 1.14
    Network big 200 2 1.15 × 10⁵⁸ 1.31 × 10⁵⁸ 1.14
    Dense network 50 4 1.15 × 10⁵⁸ 1.31 × 10⁵⁸ 1.14

    The relationship is universal: it does not depend on the network topology.

    4. Implications

    5. Comparison with the Standard Model

    Appearance Standard Model Dual Energy Model
    Higgs Mass Free Parameter Emergent Property of the Lattice
    Origin of Mass Higgs Mechanism (Tuned) Vortex Lattice
    Predictiveness Low (Higgs mass is measured) High (Higgs mass (derived)
    Dark Matter/Dark Energy Required Not required

    6. Conclusion

    Main Conclusion: The dual-energy model offers a predictive and emergent explanation for the Higgs boson mass, unlike the Standard Model, which treats it as a free parameter. This is one of the model's greatest strengths.

    7. References

    ⬅️ 7. Model validation

    9. Resources and tools ➡️
    © Costa García, José Luis



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

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