Preliminary Analysis of Next-Generation Chemical Elements, Materials and Alloys for Medical and Scientific Applications

The Vectorial System SV, articulated on the governing equation 𝔘ˢᵛ_unif = 0 and the twelve typological families of the admissible TPA trajectory space, generates a catalogue of 443 structurally admissible chemical elements. The genesis process operates in two phases: a prequimic phase, which produces 675 admissible configurations from the 720 candidates generated on the canonical cell SV(3,9) through systematic variation of five activation parameters; and a chemical phase, which applies five additional transition criteria and reduces the set to 443 elements. The recognised periodic table constitutes a proper subdomain of the 443: the first 118 elements correspond to the currently detected elements. Elements k = 119…443 are structurally defined but empirically undetected candidates, carrying operational verdict U. Each element is characterised by 33 magnitudes across four property tables. The generation complies with the six constitutive prohibitions P.1–P.6 and remains subordinated to the universal governing equation 𝓔★(Γ_U; τ) = 0. --- Note: Canonical material source on GitHub: https://github.com/juantoniolloretegea/SV-matematica-semantica/tree/main/documentos/adendas/matematica-fisica-factual-contemporanea-sv/quimica-factual-y-ciencia-de-materiales-sv/elementos-materiales-nueva-generacion. Supplementary reproducible laboratory deposit on Zenodo: https://doi.org/10.5281/zenodo.20084771. These canonical sources are provided to facilitate direct consultation of the living textual record, reproducible laboratory verification and reader-side translation through standard browser translation tools when required.