Core papers and books
Visual guides
Explore all twelve core papers, Quantum and Circuits, and the Large Signal Model. Choose a subject or work for original diagrams, selectable mathematics, and links to the text. Search all visual pages.
14 guides
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Paper I 22 visuals
Operator systems and packet coordinates
Start with operators, their compositions, and the coordinates needed to recover them.
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Paper II 24 visuals
Refinement and integral separation
See how refinement, weighted transfer, and integral constraints fit together.
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Paper III 24 visuals
Nonlinear transfer and obstructions
Follow typed transfers, nonlinear packets, and the obstructions to gluing local data.
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Paper IV 26 visuals
Cyclic functions and spectral zeros
Explore roots of unity, cyclic analytic families, and reciprocal and spectral data.
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Paper V 40 visuals
Signals and multiresolution
Move between samples, packets, and multiresolution signal coordinates.
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Paper VI 42 visuals
Transfer semigroups and memory
Track time, transfer, and memory in finite operator models.
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Paper VII 40 visuals
Quantum seeds and dynamics
Distinguish quantum seeds, finite representations, and effective dynamics.
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Paper VIII 32 visuals
Algorithms, compilation, and GPUs
Follow packet operators from exact factorizations to compiled algorithms and GPU models.
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Paper IX 23 visuals
Euler congruences
See normalization, divisibility gains, exact periods, and worked lifting examples.
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Paper X 30 visuals
Residual seeds and recovery
Separate residual roots, compatible branches, and occupied packets through worked examples.
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Paper XI 47 visuals
Tame and wild packet geometry
Follow finite packet geometry into restricted constructions and the open realization boundary.
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Paper XII 27 visuals
Patching, support, and Hecke packets
Use explicit local models to study support, Hecke packets, and conditional completion.
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Quantum and Circuits 50 visuals
Quantum arithmetic and circuit diagrams
Two complete visual sequences: 25 pages of quantum arithmetic and 25 pages of circuit obstructions.
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Large Signal Model 18 pages
Predictive state, memory, and probability
Seventeen plates and an orientation page, with original diagrams, proof routes, and an exact closure explorer.
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