research library
122 papers · 27 collections
Our research program applies category theory — the Yoneda lemma, presheaf semantics, Kan extensions, cohomological obstructions — to open problems in physics, mathematics, and AI. Every paper is hosted here as a free PDF.
physics & quantum
Physics & Quantum
16 papers
Quantum Perspectivism & Foundational Problems
8 papersCondensed Representation Theory of Physics
13 papersMathematical Representations of Quantum Gravity
6 papersTopological Phases of Matter
1 papersThe Yoneda Constraint: Universal Formulation
1 papersThe Minimal Runtime Axiom
12 papersTopological & Categorical Quantum Error Correction
11 papersDerived Functors & Teleological QEC
3 papersProof as Code: Functorial Quantum Engineering
2 papersQuantumFlow & Derived Hamiltonians
4 papersMathematical Physics: Frameworks & Duality
1 papersFunctorial Fission
1 papersType-Safe Physics
ai & computation
AI & Computation
10 papers
The Joule Standard: Energy Economics of Intelligence
4 papersFerrous Bridge: Verified C-to-Rust Migration
2 papersFibered Sheaf Memory for AI
2 papersHomotopical Semantics & AI Hallucination
5 papersQuantum Database Theory
4 papersTopos-Theoretic Database Theory
1 papersAI Code Generation
1 papersThe Time Compression Paradox
interdisciplinary