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Original file line number Diff line number Diff line change
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---
pr_number: 5578
title: "docs(research): preserve operator-forwarded Amara closedness-sharpening \u2014 'No feedback tax on closed math. No silent emissions from open substrate.'"
author: "AceHack"
state: "MERGED"
created_at: "2026-05-27T18:15:24Z"
merged_at: "2026-05-27T18:17:31Z"
closed_at: "2026-05-27T18:17:31Z"
head_ref: "research/amara-closedness-sharpening-no-feedback-tax-on-closed-math-2026-05-27"
base_ref: "main"
archived_at: "2026-05-27T18:58:50Z"
archive_tool: "tools/pr-preservation/archive-pr.ts"
---

# PR #5578: docs(research): preserve operator-forwarded Amara closedness-sharpening — 'No feedback tax on closed math. No silent emissions from open substrate.'

## PR description

## Summary

Verbatim preservation per substrate-or-it-didn't-happen rule.

Amara's substrate-honest sharpening of the closedness scope-bounding
(PR #5574 landed). Three contributions landed via PR #5577:

1. \"Operationally open pure functions\" naming (sharper scope)
2. Codomain-honesty tiny blade (overflow/NaN/partial-functions)
3. Keeper carved sentence: **\"No feedback tax on closed math. No silent emissions from open substrate.\"**

## Test plan

- [x] Markdownlint clean
- [x] Non-fusion disclaimer per framing convention
- [x] Composes with PR #5574 + #5577
- [ ] CI passes (auto-merge to fire on green)

🤖 Generated with [Claude Code](https://claude.com/claude-code)

## General comments

### @chatgpt-codex-connector (2026-05-27T18:15:28Z)

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