# v2.0 Milestone Audit

Status: passed

## Scope Closed

- Phase `174`: Formal-Theory Real-Topic Natural-Language Dialogue Proof
- Phase `174.1`: Toy-Model Real-Topic Natural-Language Dialogue Proof
- Phase `174.2`: First-Principles Real-Topic Natural-Language Dialogue Proof And Cross-Lane Report

## Requirements Coverage

Score: `5/5` requirements satisfied

- `REQ-E2E-01` satisfied by Phase `174` through one fresh natural-language
  formal-theory topic that preserved the Jones / von Neumann request across
  runtime steering artifacts and still landed
  `theorem:jones-ch4-finite-product`.
- `REQ-E2E-02` satisfied by Phase `174.1` through one fresh natural-language
  toy-model topic that preserved the HS-like chaos-window request across
  runtime steering artifacts and still landed
  `claim:hs-like-chaos-window-finite-size-core`.
- `REQ-E2E-03` satisfied by Phase `174.2` through one fresh natural-language
  first-principles topic that preserved the bounded `LibRPA QSGW` request
  across runtime steering artifacts and still landed
  `claim:librpa-qsgw-deterministic-reduction-consistency-core`.
- `REQ-E2E-04` satisfied by Phase `174.2` through one durable comparative
  report that records where the three dialogue-proof lanes are honestly ready
  and where bounded operator intervention or non-claims still remain.
- `REQ-E2E-05` satisfied by Phase `174.2` through explicit next-routing notes
  for the remaining widening blockers in all three lanes.

## Verification Evidence

- three-lane dialogue slice:
  - `pytest-three-lane-real-topic-dialogues.txt`: `3 passed`
- formal lane:
  - `formal-real-topic-dialogue-acceptance.json`: `status = success`
- toy-model lane:
  - `pytest-toy-model-real-topic-dialogue.txt`: `3 passed`
  - `toy-model-real-topic-dialogue-acceptance.json`: `status = success`
- first-principles lane:
  - `first-principles-real-topic-dialogue-acceptance.json`: `status = success`
- additional parity slice:
  - `python -m pytest research/knowledge-hub/tests/test_runtime_scripts.py -k "formal_real_topic_dialogue_acceptance_script_runs_on_isolated_work_root or toy_model_real_topic_dialogue_acceptance_script_runs_on_isolated_work_root or first_principles_real_topic_dialogue_acceptance_script_runs_on_isolated_work_root or librpa_qsgw_positive_l2_acceptance_script_runs_on_isolated_work_root" -q`
  - result: `4 passed`

## Cross-Phase Integration

- Phase `174` proved that the public front door can steer the bounded formal
  theorem lane from real dialogue without hiding the original request.
- Phase `174.1` mirrored the same public-front-door proof on the bounded
  HS-like toy-model lane and preserved compatibility with the human-gated
  promotion route.
- Phase `174.2` mirrored the same pattern on the bounded `LibRPA QSGW`
  first-principles lane, then compared all three lanes in one shared readiness
  report instead of leaving the multi-lane conclusion in chat memory.

## Audit Notes

- This milestone follows the same audit convention as `v1.97` through `v1.99`:
  it is audited from phase `SUMMARY.md` files plus fresh replay receipts rather
  than from separately-generated per-phase `VERIFICATION.md` files.
- No unsatisfied requirement remains in the `v2.0` traceability table.
- The milestone stayed honest: each lane proves bounded real-dialogue entry
  fidelity only, not broad scientific or deployment closure.

## Accepted Open Gaps

- The formal lane still relies on an isolated-kernel workaround around the
  Jones closure path.
- The toy-model lane is still bounded to the robust finite-size
  `0.4 <= alpha <= 1.0` core and does not justify larger-system or
  thermodynamic widening yet.
- The first-principles lane is still bounded to deterministic-reduction thread
  consistency on `H2O/really_tight iter=10`; it does not close broader QSGW
  convergence or whole-stack workflow claims.
