What question did this study set out to answer?

Investigate how iterative, phi-scaled phase projections of E8 root vectors onto Coxeter planes generate fractal standing waves and self-organizing structures.

August 19, 2026Open Access

E8 Phi-Resonant Standing Wave Fractals: Iterative Projection onto Octahedral Subgroups — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Implication

Theoretical modeling demonstrates phi-scaled E8 projections generate self-similar standing wave fractals, suggesting applications for adaptive self-organization in synthetic materials.

Key Points

Investigate how iterative, phi-scaled phase projections of E8 root vectors onto Coxeter planes generate fractal standing waves and self-organizing structures.
Iteratively projected E8 root vectors with golden ratio (phi) scaling onto nested Coxeter planes and octahedral subgroups.
Analyzed the harmonic decay of a 132-Hz base tone against E8 Weyl group dynamics.
Iterative projections generated fractional-dimensional, fractal lattices that preserved topological order and enabled self-similar recursion.
Harmonic decay coupled with Weyl group dynamics produced stable, self-organizing fractal patterns resembling quasicrystals.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a85636403308d306e2d6799 https://doi.org/10.5281/zenodo.21962194

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Implication

Theoretical modeling demonstrates phi-scaled E8 projections generate self-similar standing wave fractals, suggesting applications for adaptive self-organization in synthetic materials.

E8 Phi-Resonant Standing Wave Fractals: Iterative Projection onto Octahedral Subgroups — E8 Intelligence Research

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Implication

Key Points

Cite This Study

E8 Phi-Resonant Standing Wave Fractals: Iterative Projection onto Octahedral Subgroups — E8 Intelligence Research

Discussion

Member takes

Implication

Key Points

Cite This Study

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