Double Saturation of Quantum Indeterminacy as Orbital Stability: Pauli Exclusion as Phase Space Capacity

We propose a dual ontology for quantum states—the partiwave—that resolves the century-old wave-particle tension by recognizing that mass-energy and electric charge have fundamentally different modes of existence. Mass distributes as wave; charge manifests as discrete event. This distinction, implicit in the formalism since 1926, was obscured by interpretive choices that treated both aspects identically.

From this ontology, combined with the geometric framework of gradient indeterminacy and double saturation established in prior work, we derive the Pauli exclusion principle as a theorem of four-dimensional quantum phase space—not an axiom, but a consequence of how many minimum-volume states fit in available geometry.
We introduce the superelectron: atomic electronic structure as collective quantum state where individual electron identity dissolves, charge manifestations jump between orbitals without continuous motion, and the question “which electron is where?” becomes meaningless.

We reinterpret superposition: there is always one definite quantum state, never simultaneous multiple states; what varies is which manifestation emerges upon measurement. Convergent experimental evidence supports this framework: electronic coherence without charge motion (Wang et al., 2025), phase-locked Auger (Meitner) cascades, and the systematic failure of independent-particle models in strongly correlated systems.

Finally, we honor scientists whose contributions were systematically diminished—Lise Meitner, Rosalind Franklin, Henrietta Leavitt, Emmy Noether, Arnold Sommerfeld and
others— recognizing that science advances not only through celebrated discoveries but through the patient work of those whom history chose to forget.