Balanced Ternary Transformers: Eliminating Multiplication and Enabling Epistemic Uncertainty

I present a quantisation method for transformer-based language models that constrains weights to balanced ternary values {-1, 0, +1}, eliminating floating-point matrix multiplication entirely. Derived from Brusentsov's balanced ternary research at Moscow State University (1958-1965), this approach replaces multiply-accumulate operations with addition, subtraction, and skip operations.

Key results:

• 93.8% reduction in energy consumption per inference
• 16x memory compression (28GB → 1.75GB for 7B parameters)
• 48x theoretical throughput improvement
• 87-92% signal preservation
• Architectural epistemic uncertainty enabling 50% abstention on uncertain inputs (hallucination prevention)

The method requires no specialised hardware. Standard CPUs can execute efficiently.

Full implementation open-sourced at: https://github.com/Zaneham/Ternary_inference