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| Hlavní autor: | |
|---|---|
| Médium: | Recurso digital |
| Jazyk: | angličtina |
| Vydáno: |
Zenodo
2025
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| Témata: | |
| On-line přístup: | https://doi.org/10.5281/zenodo.17845292 |
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- <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>