Orientation without perturbation

Anthony F. J. Levi

Adam Sheldrick

A previous ECSM paper identified a minimal electron-like response packet as a finite-radius, occupancy-locked, unit-negative localised configuration with branch counts (N_+, N_0, N_-) ≃ (0,1,3) and q_eff ≃ -1. That result established an electron-like stability candidate within a toy ECSM stability-functional model, but did not test whether the packet can support an internal spin-like orientation. This paper tests whether the previously identified electron-like packet can consistently host a two-state internal orientation p=+1 and p=-1, represented by a two-component spinor basis with Pauli closure, SU(2) norm preservation, and perturbative recovery. Using the V4b internal-orientation notebook, the V3b-like packet remains close to the electron-like occupancy scaffold, with N_+ = 9.72e-4, N_0 = 1.000146, N_- = 2.998882, and q_eff = -0.999304. The two internal orientation states relax to p_+ = +1 and p_- = -1, with near-degenerate energies and relative energy difference ≃ 1.28e-16. The spinor basis states are orthogonal, have unit norm, and satisfy the Pauli algebra tests. SU(2) rotation preserves spinor norm to numerical precision, and perturbation recovery returns both p=+1 and p=-1 states to their original sectors. All fourteen final V4b verdict criteria pass. The result does not derive physical electron spin, the Dirac equation, magnetic moment, or QED. It establishes a narrower ECSM result: the previously identified electron-like response packet can consistently host a recovered two-state internal orientation satisfying orthogonality, Pauli closure, SU(2) norm preservation, and perturbative recovery.

І. І. Бондар, В. В. Суран

Two-photon transitions between the perturbed 6s21S0ground state and the perturbed 5d7s3D2state of a Ba atom have been experimentally investigated with different perturbing and exciting radiations. A strong dependence of the probability of two-photon transitions between these perturbed states on the mutual orientation of the electric vectors of the exciting and perturbing radiations has been found.

Francisco Soto, Braulio Misael Villegas-Martínez, H. M. Moya-Cessa

І. І. Бондар, В. В. Суран

Two-photon transitions between the perturbed 6s2 1S0 ground state and the perturbed 5d7s3D2 state of a Ba atom have been experimentally investigated with different perturbing and exciting radiations. A strong dependence of the probability of two-photon transitions between these perturbed states on the mutual orientation of the electric vectors of the exciting and perturbing radiations has been found.