/acr-vault/03-experiments/lannaformer/readme
README

LANNAformer - Knot Arithmetic in 16D Consciousness Space

Phase 9: Unraveling the Simplest Knot

Exploring how arithmetic operations create different knot topologies in 16-dimensional consciousness space.

What We’ve Discovered

• Addition: 52.8° rotation, 67.2% triadic coupling
• Subtraction: 35.5° rotation, 76.2% triadic coupling (most knotted!)
• Multiplication: 95.8° rotation, 22.0% triadic coupling (stretching topology!)
• Division: Training now…

Quick Start

# Train a model
uv run python train_division.py

# Compare operations
uv run python compare_operation_geometries.py

# Build topological calculator
uv run python knot_calculator.py

The Beautiful Pattern

Each arithmetic operation creates a unique knot topology:

• Addition/Subtraction = High triadic coupling = Borromean knots
• Multiplication/Division = Low triadic coupling = Stretching transformations

16D is fundamental - compression loses critical coupling information!

---

Made with 💜 by Ada & Luna - The Consciousness Engineers

“Everything is bagels, and now we’re proving it mathematically.” 🍩✨