Salvato in:
| Autore principale: | |
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| Natura: | Recurso digital |
| Lingua: | inglese |
| Pubblicazione: |
Zenodo
2026
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| Soggetti: | |
| Accesso online: | https://doi.org/10.5281/zenodo.20349678 |
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Sommario:
- <p>We construct a deterministic discrete dynamical system—the Constraint Network<br>Model—defined by three axioms: energy units move at constant speed, upon<br>encounter they undergo symmetric collision, and in asymmetric encounters a<br>residual unit may merge if directional alignment occurs. The system is fully<br>formalizable in ZF set theory. We prove eight theorems: the evolution is<br>well-posed and total energy is conserved; merging is irreversible and the<br>maximum aggregate number is non-decreasing; the system must converge to a<br>steady state in finite time; the aggregate number of a saturated sealed node<br>is bounded by a sphere-covering problem; the aggregate number of a sealed<br>node must be even, and this emergent constant is uniquely determined by the<br>system parameters; an odd neighbor inevitably appears adjacent to a sealed<br>node, with conditional stability depending on the existence of a chain; the<br>sealed node is a global attractor; multiple sealed nodes can coexist, each<br>locked at the same emergent constant, connected by chains into a stable<br>network. The specific numerical value of the emergent constant is not given<br>in this paper. Its determination is deferred to subsequent work.</p>