Formal mathematical work, computational notebooks, and research sketches for the NUMO Field
Complete formal treatment covering axioms, operators, toroidal geometry, emergent behavior, and applications. Sections I–VI with proofs and examples.
Comprehensive catalog of applications across three tiers: definite, formal, and fringe (hard-science + symbolic/esoteric). Includes 19+ use cases and research directions.
Short research concepts that could be expanded into formal papers or technical notes
10D Hilbert space with D₈×ℤ₂ representation for teaching finite quantum symmetries. Full decomposition into irreps with example problem sets.
10-state coding for trajectories of logistic/tent maps. Operator-frequency histograms and comparison to random encodings.
QCA on chain of NUMO qudits. Conservation laws, light-cone structure, and comparison to known QCA examples.
Explore NUMO concepts through live code and visualizations
Interactive Jupyter notebooks and Observable notebooks will be available here, allowing you to experiment with NUMO operators, visualize state transitions, and explore applications in real-time.
We're leveraging multiple AI assistants (ChatGPT, Gemini, Grok) to develop comprehensive computational examples.
Interested in expanding one of the research sketches into a full paper? Have ideas for new applications? We welcome collaboration from mathematicians, physicists, computer scientists, and creative practitioners.
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