The Periodic Table as a Pe Landscape: Atomic Constraint Architecture and Noble Gas Constraint Poles
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866901219692249088 |
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| author | Eckert, Anthony |
| author_facet | Eckert, Anthony |
| contents | The periodic table is a Pe landscape. For each of 118 elements, the void framework's Pe formula (Pe = O×R/α) maps onto atomic structure: Z_eff (effective nuclear charge) as opacity, electron affinity as responsiveness, and the Slater shielding constant as constraint capacity. Noble gases score Pe ≈ 0 or negative (constraint poles — full outer shell, zero engagement pull); halogens score Pe high (strong electron capture, approaching cascade); alkali metals are moderately reactive. Spearman ρ between Pe rank and ionization energy rank across all 118 elements provides the empirical validation — century-old data, zero noise. The octet rule is a constraint specification ritual. Pauli exclusion is the hardest prohibition in physics. Z=26 (iron) is the nuclear V* (already derived in §23G of the math apparatus). |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18832437 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Periodic Table as a Pe Landscape: Atomic Constraint Architecture and Noble Gas Constraint Poles Eckert, Anthony periodic table atomic structure Pe landscape noble gases constraint poles ionization energy electron affinity Slater shielding octet rule Pauli exclusion void framework Z_eff atomic opacity The periodic table is a Pe landscape. For each of 118 elements, the void framework's Pe formula (Pe = O×R/α) maps onto atomic structure: Z_eff (effective nuclear charge) as opacity, electron affinity as responsiveness, and the Slater shielding constant as constraint capacity. Noble gases score Pe ≈ 0 or negative (constraint poles — full outer shell, zero engagement pull); halogens score Pe high (strong electron capture, approaching cascade); alkali metals are moderately reactive. Spearman ρ between Pe rank and ionization energy rank across all 118 elements provides the empirical validation — century-old data, zero noise. The octet rule is a constraint specification ritual. Pauli exclusion is the hardest prohibition in physics. Z=26 (iron) is the nuclear V* (already derived in §23G of the math apparatus). |
| title | The Periodic Table as a Pe Landscape: Atomic Constraint Architecture and Noble Gas Constraint Poles |
| topic | periodic table atomic structure Pe landscape noble gases constraint poles ionization energy electron affinity Slater shielding octet rule Pauli exclusion void framework Z_eff atomic opacity |
| url | https://doi.org/10.5281/zenodo.18832437 |