# Quantitative Rates

## Purpose

Make convergence claims operational by centralizing explicit rate statements and correct targets.

Delivered:

- a rate table added to `engine/contracts/constants_thresholds.md`
- explicit target selection reminders:
 - full Haar on \(\mathbb{T}_P\) when uncoupled
 - coupled Haar on CST when coupling is present (CTP)

This section is  “ledger-first”: it reduces narrative drift and keeps constants auditable.

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## Acceptance gates

- rate table exists and includes DSD, SADM+MXC, and SOL-coupled diffusion cases
- targets are stated correctly (Haar vs coupled Haar)
