Emergent Scalar Gravity and Particle Stability in a (3+1)-Dimensional Nonlinear Spinor Model
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2025
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| _version_ | 1866901246926913536 |
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| author | Sergey, A. Danilov |
| author_facet | Sergey, A. Danilov |
| contents | <p>Abstract<br>We investigate a (3+1)-dimensional field-theoretic model integrating self-confined spinor<br>matter and scalar gravitation. The system is defined by a nonlinear Dirac field coupled to<br>a dynamical scalar field via a Yukawa-type interaction, governed by the Soler Lagrangian.<br>Using spectral numerical methods, we demonstrate that the saturating nonlinearity serves<br>as a regularizing mechanism, stabilizing localized spinor solutions (breathers) against dis-<br>persive decay, thereby overcoming Derrick’s theorem in 3D. We examine the macroscopic<br>consequences of this coupling, showing that the scalar field mediates an effective attractive<br>interaction satisfying the relativistic wave equation. Numerical stress-tests confirm that<br>the model reproduces: (i) stable orbital dynamics; (ii) Lorentz contraction of potentials;<br>(iii) quantum tunneling; and (iv) galactic rotation curves consistent with a scalar-field dark<br>matter halo. Furthermore, we explicitly verify the fermionic nature of the excitations by<br>simulating the Stern-Gerlach effect via minimal coupling to an external electromagnetic<br>field</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17694515 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergent Scalar Gravity and Particle Stability in a (3+1)-Dimensional Nonlinear Spinor Model Sergey, A. Danilov Emergent Gravity Lattice Field Theory Scalar Gravity Soler Model Nonlinear Dirac Equation Breather Quantum Analogs FDTD <p>Abstract<br>We investigate a (3+1)-dimensional field-theoretic model integrating self-confined spinor<br>matter and scalar gravitation. The system is defined by a nonlinear Dirac field coupled to<br>a dynamical scalar field via a Yukawa-type interaction, governed by the Soler Lagrangian.<br>Using spectral numerical methods, we demonstrate that the saturating nonlinearity serves<br>as a regularizing mechanism, stabilizing localized spinor solutions (breathers) against dis-<br>persive decay, thereby overcoming Derrick’s theorem in 3D. We examine the macroscopic<br>consequences of this coupling, showing that the scalar field mediates an effective attractive<br>interaction satisfying the relativistic wave equation. Numerical stress-tests confirm that<br>the model reproduces: (i) stable orbital dynamics; (ii) Lorentz contraction of potentials;<br>(iii) quantum tunneling; and (iv) galactic rotation curves consistent with a scalar-field dark<br>matter halo. Furthermore, we explicitly verify the fermionic nature of the excitations by<br>simulating the Stern-Gerlach effect via minimal coupling to an external electromagnetic<br>field</p> |
| title | Emergent Scalar Gravity and Particle Stability in a (3+1)-Dimensional Nonlinear Spinor Model |
| topic | Emergent Gravity Lattice Field Theory Scalar Gravity Soler Model Nonlinear Dirac Equation Breather Quantum Analogs FDTD |
| url | https://doi.org/10.5281/zenodo.17694515 |