SMRTR Science & EngineeringNov 3, 2025Hacker News

Geonum – geometric number library for unlimited dimensions with O(1) complexity

SMRTR summary

Geonum introduces a revolutionary geometric number library that stores numbers as length-angle pairs instead of traditional scalar coordinates, reducing computational complexity from exponential O(n³) or O(2^n) to constant O(1) time regardless of dimensions. This breakthrough enables million-dimensional geometric algebra operations in just 31 nanoseconds using only 2 values, while traditional methods become impossible beyond 30 dimensions due to requiring over a billion components.

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