MATLAB codes for the 2018 arXiv paper discussing synthesis of logical Clifford operators for stabilizer codes.
Symplectic nonlinear beam-dynamics simulator with TPSA, Lie algebra, normal forms, resonance analysis and 6D particle tracking.
Research framework for Hamiltonian evolution, phase space, symplectic structure, quantum systems and invariant validation.
This bachelor thesis shows that two 2n-simplices Δ, Δ' are equal up affine symplectomorphism if and only if the symplectic areas of their 2-dimensional subsimplices coincide.
PyTorch implementations of geometric learning algorithms and architectures. Subset of CAMOC.
Independent Comparator/Lean audit of two OpenAI mathematical results, with bilingual evidence, scope notes and an essay on verification and explanation.
Certified geometric interpretability & industrial verification harness for frontier models, agents, and robotics via symplectic Stiefel manifold retractions.
Déconstruction unifiée des énergies cinétiques et topologiques. Un framework "Lichen-Collective" redéfinissant l'énergie mécanique comme un échange dynamique de symétrie et d'information à travers le treillis structurel de la réalité. 🌀🧬
Exact classification of the local maxima of the moment-map norm on a unitary orbit (= local minima of minimal interaction in quantum mereology) and of mutual information: a root-block sign test, Klyachko's cubicles, and proofs identifying the McConnell-Jennings counts. Paper, proofs, exact algorithms, independent implementations.
Landing page for the Frohmanian Symplectic Tether program — geometric approach to 3D Navier–Stokes global regularity. Formalization: BenFrohman/NS_Millennium_Proof
Lean 4 encoding of the Frohmanian Symplectic Tether proof of 3D incompressible Navier–Stokes global regularity
Bounded three-paper Principia Physica pilot with a synthesis paper and representative Lean and Haskell artifacts.
Master study curriculum, curated textbook library, and Olympiad/PhD problem archives for mastering Classical Mechanics — from Newtonian foundations to Symplectic Geometry & Chaos.
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