First-Principles Automaton Engine

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First-principles proof sweep · Z −210 … +210 · both charge sectors

Every quantity is derived from atomic number alone. No element names, no property tables, no reference data of any kind is present in this file. Negative Z is the antimatter sector, where CPT requires identical magnitudes and reversed signs — computed both ways and checked, not assumed. Export the proofs and verify them against the periodic table externally.

First-principles automaton engine

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Z range −210 … +210 cycle 0 Z 0 proofs 0 checks 0/0

Radial density r²|R|² & potential

Binding energy levels

Emission spectrum

Waveform · ÷2⁴⁰

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Derivation log

Element ledger — derived from Z alone

Z	sector	blk	per	grp	term	Z_eff	n	IE Ry (exact)	IE eV	⟨r⟩ a₀	E_val Ha	A*	B/A MeV	E_ann GeV	Zα	lines	configuration

Unredacted first-principles proofs