kalmantorsion

null resultshipPython · NumPyModel behavior & reasoningJuly 24, 2026

the question

Can KLA's Moebius precision scan be the source of its claimed A5 permutation-composition state tracking?

what came out

KLA's 2x2 Moebius precision transition is torsion-free: it is entrywise non-negative with det=a_bar^2>0, so every finite product has real positive eigenvalues and no non-trivial finite order. A5 requires an order-5 rotation (complex eigenvalues, negative entries), which no such matrix realizes, refuting the paper's attribution of A5 to the Moebius non-linearity. The scan itself is exact.

method & receipts

Result: null result — an honest negative, reported as it came out.
Reproducible — one script re-runs the whole thing from scratch.
Tested — a correctness/benchmark suite ships alongside the code.

→ read the code and re-run it

github.com/v-code01/kalmantorsion