# Non-Commutative Probability in Competitive Dynamics > Speculative research monograph from Project Blue Joker proposing a quantum-probability framing of wagering markets and a Quantum Kelly allocation rule. Tips welcome. ## Author - Jakub Rybaczuk — Windsor, Ontario, Canada. "System / Context Architect". - X: https://x.com/TCGUnc · Hugging Face: https://huggingface.co/HeelerFishback - AI co-authors credited: Gemini Spark, Claude, Grok, OpenAI. ## Related pages - [Project Blue Joker — Methods Overview](https://huggingface.co/spaces/HeelerFishback/blue-joker-methods): high-level methods and governance of a quantitative sports-forecasting framework (Shin de-vigging, Dixon-Coles, copulas, Quarter-Kelly sizing, Wald SPRT "Observation Mode"). - [Non-Commutative Probability in Competitive Dynamics](https://huggingface.co/spaces/HeelerFishback/non-commutative-probability): speculative research monograph proposing a quantum-probability framing of wagering markets and a "Quantum Kelly" rule. Exploratory theory; includes a simulated peer-review exercise and some reconstructed data. ## Support Tips are welcome and voluntary. Bitcoin (BTC): 12hSpkTxK3xSrrWtosct6kgEk7JmmYTpgS Thank you, with love — Jakub. ## Notes Not betting or financial advice. © 2026 Jakub Rybaczuk. All rights reserved.