11 records · compact density · grouped by kind, state glyph on every row · all tags
probes5
P-026Primes upstairs, zeros downstairs — the growth trichotomy as a prime-number-theorem / Riemann-hypothesis dichotomy on the host graphprobe
P-036A Tanner code on the squared coset graph — the empirical code ceiling of the intermediate-growth host, now that N-034 rules out an expander code on the graph itselfprobe
P-043A growth axis on one tree — five self-similar groups on the binary tree, the nucleus as the coordinate, and the claim that nucleus size predicts which instruments moveprobe
P-044The seam orbit as a register — capacity and write cost of the host's memory, from the group action instead of quenchesprobe
P-045A quantum walk on the intermediate-growth cell — is the boundary a quasicrystal and the bulk a flat-band localizer, or is the analogy decorative?probe
notes5 · +1 retired
N-026The intermediate-growth cell is real — effective dimension grows without bound, computed on the Grigorchuk groupnote
N-028N/log N three ways — one shape, two breaks.note
N-034The coset graph is a union of squares, and squares kill unique-neighbour expansion — no expander code on the intermediate-growth host at any levelnote
N-035The sequential-circuit reading of self-similar groups — latch, register, carry, counter — and why "which types exist" is a 3×3 grid, not a linenote
N-037What runs 048–060 say together — order holds, magnitude misses; first-order models rank and correlations set values; the seal is the weakest linknote
N-027Harvest record — the anyon-statistics chase (2026-09-27, one sitting)note
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