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v0.1.0 — Initial release

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@consigcody94 consigcody94 released this 20 May 01:46

First public release of the quaternion-monoid algebra: a compositional algebra over fixed-width quaternionic-symbolic state packets.

What's included

  • Reference implementation (CPU + GPU) of the closed associative binary operation with two-sided identity
  • 14 automated tests: 8 algebraic-property tests + 6 stress tests, all passing
  • GPU bit-exact correspondence to the CPU reference (max diff 0.00e+00 on RTX 5070)
  • White paper covering the construction, properties, and three application classes
  • Three worked examples: agent state evolution, multi-source composition, algebraic chain verification
  • Real-data validation against the TUM RGB-D Pioneer 360 sequence (SHA-256 verified)

Properties verified

  • Closure, two-sided identity, associativity (monoid structure)
  • Topology preservation under iterated composition
  • Long-horizon stability, avalanche sensitivity, distinguishability

MIT licensed.