v0.1.0 — Initial release
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.