What question did this study set out to answer?

The aim is to explain the arrangement of electrons in discrete shells around the nucleus using a geometric framework.

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January 23, 2026Open Access

Part V: Why Electrons Form Shells — A Geometric Explanation

Key Points

The aim is to explain the arrangement of electrons in discrete shells around the nucleus using a geometric framework.
Utilized the MID/QC framework to analyze electron arrangements.
Proposed a coherence-based model replacing traditional interpretations.
Explained electron shells as stable standing-wave surfaces influenced by proton coherence.
Demonstrated how shell capacities depend on phase-compatible modes at each radius.
Unified atomic structure and charge balance within the geometric framework.

Abstract

This paper explains why electrons arrange themselves in discrete shells around the nucleus, using the MID/QC framework to replace the traditional orbital and probability‑cloud interpretations with a geometric, coherence‑based model. Electron shells emerge as stable standing‑wave surfaces shaped by the proton’s coherence well, with shell capacities determined by the number of phase‑compatible modes the substrate can support at each radius. This geometric interpretation unifies atomic structure, shell capacities, and charge balance under a single, intuitive framework.

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