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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19652114 |
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| _version_ | 1866901723385167872 |
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| author | Jardine, James |
| author_facet | Jardine, James |
| contents | <p><br> Embeds monstrous moonshine structure (McKay 1978, Conway-Norton 1979, Borcherds 1992) into the<br> AOI 96D octonion collapse pipeline. The architecture's 96D = 4 × 24 Leech shell geometry maps<br> naturally to the Moonshine Module V♮ (rank-24 Leech lattice), enabling J-invariant Fourier<br> coefficient grading across the four collapse shells.</p> <p> The module encodes:<br> - J-invariant coefficients (1, 196884, 21493760, 864299970) as shell coupling weights spanning<br> a 30× log-normalized range<br> - Monster group irreducible representation dimensions (r1=1 through r7=293,553,734,298) with<br> verified decomposition: J_n = Σ multiplicity × r_k<br> - Moonshine alignment metric measuring topological correspondence between Betti numbers, Fano<br> associator norms, and Monster grading structure<br> - Four-level moonshine grade (J_0 through J_3) classifying algebraic depth of collapsed signals</p> <p> Key results:<br> - J-invariant self-recognition: grade 3, alignment 0.91, topo confidence 1.000<br> - Voodoo-embedded J-invariant: moonshine alignment 0.978<br> - Regime discrimination: flat/trending/volatile markets resolve to distinct moonshine grades<br> without training<br> - Feature selector resonance peak at ~5× shell weight, emergent from Monster representation<br> structure<br> - All metrics computed via SimulatedAnnealing (no quantum hardware required)</p> <p> Extends DOI chain: 18690444, 18722487, 18809406, 18809716, 18889266, 19560890, 19650226.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19652114 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Monstrous Moonshine Grading for 96D Octonion Collapse: Monster Group Representation Alignment in the AOI Pipeline Jardine, James <p><br> Embeds monstrous moonshine structure (McKay 1978, Conway-Norton 1979, Borcherds 1992) into the<br> AOI 96D octonion collapse pipeline. The architecture's 96D = 4 × 24 Leech shell geometry maps<br> naturally to the Moonshine Module V♮ (rank-24 Leech lattice), enabling J-invariant Fourier<br> coefficient grading across the four collapse shells.</p> <p> The module encodes:<br> - J-invariant coefficients (1, 196884, 21493760, 864299970) as shell coupling weights spanning<br> a 30× log-normalized range<br> - Monster group irreducible representation dimensions (r1=1 through r7=293,553,734,298) with<br> verified decomposition: J_n = Σ multiplicity × r_k<br> - Moonshine alignment metric measuring topological correspondence between Betti numbers, Fano<br> associator norms, and Monster grading structure<br> - Four-level moonshine grade (J_0 through J_3) classifying algebraic depth of collapsed signals</p> <p> Key results:<br> - J-invariant self-recognition: grade 3, alignment 0.91, topo confidence 1.000<br> - Voodoo-embedded J-invariant: moonshine alignment 0.978<br> - Regime discrimination: flat/trending/volatile markets resolve to distinct moonshine grades<br> without training<br> - Feature selector resonance peak at ~5× shell weight, emergent from Monster representation<br> structure<br> - All metrics computed via SimulatedAnnealing (no quantum hardware required)</p> <p> Extends DOI chain: 18690444, 18722487, 18809406, 18809716, 18889266, 19560890, 19650226.</p> |
| title | Monstrous Moonshine Grading for 96D Octonion Collapse: Monster Group Representation Alignment in the AOI Pipeline |
| url | https://doi.org/10.5281/zenodo.19652114 |