Helium Atom
The τ-helium atom is the simplest two-electron composite: an α-particle nucleus (PG-O02) bound to two τ-electrons via the EM sector at E₁. It is the cleanest τ-native test of multi-electron filling — Pauli exclusion follows from T² shell occupancy and the ground state is a singly-closed shell (1s²). The first ionization energy 24.587 eV emerges from the calibration cascade.
τ-Definition
The τ-helium atom is the simplest two-electron composite: an α-particle nucleus (PG-O02) bound to two τ-electrons via the EM sector at E₁. It is the cleanest τ-native test of multi-electron filling — Pauli exclusion follows from T² shell occupancy and the ground state is a singly-closed shell (1s²). The first ionization energy 24.587 eV emerges from the calibration cascade.
Categorical invariant. Three-defect-bundle composite (one τ-α nucleus + two τ-electrons) on T² × R³ with EM-sector binding and T²-shell-driven Pauli exclusion.
Primary registry anchor:
IV.D496
τ-Derivation Chain
SI Translation
Calibration anchor: PG-P01-neutron
Calibration chain:
- m_n (anchor)
- m_e via Yukawa hierarchy from ι_τ
- m_α via PG-O02 calibration chain
- ι_τ-derived α_em (fine-structure)
- Two-electron screened Schrödinger → first ionization 24.587 eV
Manuscript reference: manuscript-sources/book-04/part06/ch48-multi-electron-atoms.tex
Lean Coverage
Status: Planned