preprintOpen MINDJan 31, 2026GREEN OA

Atomic Orbitals as Icosahedral Interference Patterns

University of Southampton

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Abstract

We propose that atomic orbitals are interference patterns arising from the superposition of identical wave fields emanating from protons at icosahedral positions. This framework explains a striking pattern in binding energy corrections: coefficients are either pure integer ratios or integers multiplied by the golden ratio φ. KEY INSIGHT: Integers count identical superimposed wave sources (topology). The golden ratio encodes their geometric positions (vertices at coordinates 0, 1, φ). When electron occupation is symmetric, φ-contributions cancel, yielding pure integers. When asymmetric, position-dependent interference reveals φ. CENTRAL DERIVATION: Carbon's coefficient is exactly 1/φ = φ/(1+φ), derived as the…

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Topics & keywords

Keywords
  • Interference (communication)
  • Golden ratio
  • Superposition principle
  • Half-integer
  • Atomic orbital
  • Integer (computer science)
  • Icosahedral symmetry
  • Rectangle
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