Paravortices: loop braid representations with both generators involutive

This project is a theoretical mathematical research paper rather than a software product. While the discovery of the 'mixed doubles category' and the classification of rank-2 representations represents a high degree of novelty in the niche field of topological quantum computation (TQC), the project has zero defensibility from a commercial software perspective. There are no users, no code-based moat, and the 'product' is a set of theorems. The 3 forks suggest interest from a very small circle of academic peers (likely co-authors or direct researchers in the field). Frontier labs are unlikely to compete here as this is foundational physics/math research that would eventually feed into their hardware R&D (e.g., Microsoft Station Q or Google's Quantum AI) rather than being displaced by their current AI products. The threat profile is low across all axes because the 'market' is pure academic discovery, which does not consolidate or become dominated by platforms in a traditional sense.