Atomic Orbitals as Icosahedral Interference Patterns
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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
- Interference (communication)
- Golden ratio
- Superposition principle
- Half-integer
- Atomic orbital
- Integer (computer science)
- Icosahedral symmetry
- Rectangle
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