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Notebook

Short, often unfinished notes on software, mathematics, and things I keep thinking about.

• Exact Residual-Stream Mixing 27 August 2026

  A mathematical guide to exact doubly stochastic residual-stream mixing through generalized orthostochastic matrices.

• Defect-engineered topological qubits 25 August 2026

  A complete reader on crystal defects, quantum control, anyons, topological models, and the limits of a proposed architecture.

• Fibonacci quasicrystals 3 August 2026

  A mathematical route into Fibonacci tilings: irrational rotations, a dense orbit on a torus, and a clearly hypothetical diamond-based quantum architecture.

• Δ-Nets 1 August 2026

  A diagram-led guide to encoding lambda terms as Δ-Nets, following their interactions, and calculating replicator levels and port deltas.

• Adversarial reasoning 17 June 2026

  I built an adversarial reasoner. The model named it dialectic. It kept rescuing stuck LLMs, which is awkward, because I am a positivist who thinks Hegel is rubbish.

• Concurrent state evolution 13 June 2026

  How a vehicle-animation bug, a paper on loops and recursion, and the Redux pattern collided into one way of evolving state across a channel.