Module angular 

Angular and hyperspherical embeddings with π phase encoding

Many embedding tricks quietly reduce to angles. Cosine similarity is literally angle-based.

Using π explicitly:

• Map vectors to phase space
• Encode direction as multiples of π
• Track angular velocity instead of Euclidean distance

This is extremely friendly to 5-bit and 7-bit systems because:

• Angles saturate naturally
• Wraparound is meaningful
• Overflow becomes topology, not error

That is exactly how biological systems avoid numeric explosion.

Structs

AngularEmbedding

Angular embedding projector

HypersphericalProjection

Hyperspherical projection for high-dimensional embeddings

PhaseEncoder

Phase encoder for quantized values