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| Format: | Recurso digital |
| Language: | English |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17845292 |
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| _version_ | 1866902032570384384 |
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| author | Cortina-Ceballos, Bernardo |
| author_facet | Cortina-Ceballos, Bernardo |
| contents | <p>We propose a Discrete Topological Field Theory (DTFT) in 3+1 dimensions to address the Hierarchy Problem and the Vacuum Catastrophe. By modeling the vacuum as a superfluid lattice governed by the Skyrme-Faddeev action, we investigate the emergence of particles as knotted solitons, termed <em>Planckeons</em> (<span>$\mathfrak{p}$</span>) in this discrete context. We demonstrate that fermionic mass arises from a <strong>geometric equilibrium mechanism</strong>—intuitively modeled as a pressurized elastic tube—where topological tension is balanced by internal repulsive pressure. Furthermore, we derive a <strong>Lattice Energy-Length Relation</strong> (<span>$E \approx \lambda/l_P^2$</span>) that regularizes the vacuum energy density. Finally, we propose a "Topological Precautionary Principle" for high-energy experiments near the vacuum nucleation threshold.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17845292 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Mass Generation and Vacuum Energy Density in a Discrete Skyrme-Faddeev Lattice Cortina-Ceballos, Bernardo Skyrme-Faddeev Model Topological Solitons Hierarchy Problem Vacuum Energy Research Ethics <p>We propose a Discrete Topological Field Theory (DTFT) in 3+1 dimensions to address the Hierarchy Problem and the Vacuum Catastrophe. By modeling the vacuum as a superfluid lattice governed by the Skyrme-Faddeev action, we investigate the emergence of particles as knotted solitons, termed <em>Planckeons</em> (<span>$\mathfrak{p}$</span>) in this discrete context. We demonstrate that fermionic mass arises from a <strong>geometric equilibrium mechanism</strong>—intuitively modeled as a pressurized elastic tube—where topological tension is balanced by internal repulsive pressure. Furthermore, we derive a <strong>Lattice Energy-Length Relation</strong> (<span>$E \approx \lambda/l_P^2$</span>) that regularizes the vacuum energy density. Finally, we propose a "Topological Precautionary Principle" for high-energy experiments near the vacuum nucleation threshold.</p> |
| title | Mass Generation and Vacuum Energy Density in a Discrete Skyrme-Faddeev Lattice |
| topic | Skyrme-Faddeev Model Topological Solitons Hierarchy Problem Vacuum Energy Research Ethics |
| url | https://doi.org/10.5281/zenodo.17845292 |