.. meta::
   :description: The StayC maturity lifecycle defines seven stages from MockupModel through StableSource, with NimbleNonfunctional as the death valley every innovation must cross.
   :keywords: StayC, stability codes, maturity lifecycle, MM, NN, OO, PP, QQ, RR, SS, MockupModel, NimbleNonfunctional, OperatesOddly, PathProbing, QualityQuest
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and Spirit of Boolean Truth
   :og:card:title: StayC Maturity Lifecycle<br>--- MM through SS
   :og:card:description: Seven maturity stages from first intuition to global acceptance, with the NN death valley every innovation must cross to reach its MVP at OO.

.. _compiler-stayc:

*********************************************************************
StayC --- Stability Codes for Maturity Tracking
*********************************************************************

StayC codes track the maturity of any formal claim through seven stages,
from first intuition (MM) to global community acceptance (SS). The codes
are the core of the :ref:`StayVS <compiler-stayvs>` system.

**Key insight:** NN (NimbleNonfunctional) is not a graveyard --- it is the
**death valley** that every innovation must cross to produce its minimum
viable product at OO. The actual graveyard is KK (KnownKiller) in the
POST system. NN carries hope of rescue; KK does not.


The Seven Stages
==================

.. list-table::
   :header-rows: 1
   :widths: 6 14 11 5 34 30
   :class: longtable

   * - Code
     - Full Name
     - Math Stage
     - Pict
     - Definition
     - Analogy and Example
   * - **MM**
     - MockupModel
     - **Intuited**
     - ---
     - Idea exists informally as back-of-envelope reasoning or verbal
       sketch. No formal statement yet. The mathematical intuition is
       present but has not been cast into precise language. Most people
       tend to completely reject ideas at this microscopic stage.
     - "I think there's a way to prove that any society without periodic
       structural reset eventually self-destructs... let me think about
       how to formalize that."
   * - **NN**
     - NimbleNonfunctional
     - **Death Valley**
     - |refuted|
     - The innovation's **death valley**: the idea has been stated but does
       not yet function. It needs feeding --- resources, refinement, and
       iteration --- to grow into a minimum viable product (OO). Most
       innovations die here, not because they are worthless, but because
       they run out of energy before crossing the valley. **NN carries
       hope of rescue.** A claim at NN is not dead; it is starving. Feed
       it and it may reach OO. If the problem is proven terminal, the
       claim moves to KK (KnownKiller), not NN.

       NN also occurs as a **rejection event** at any later stage: a claim
       at OO, PP, or QQ can fall back to NN when a flaw is found. The
       rejection is documented with reasons. Revised versions re-enter
       the pipeline.
     - The "valley of death" in startup funding: most startups die
       between seed and Series A, not because the idea is bad but because
       they cannot sustain operations long enough to prove it works.
       Newtonian mechanics was not killed (KK) by Einstein --- it was
       shown to be an approximation valid in a limited domain (NN), and
       it remains useful within that domain.
   * - **OO**
     - OperatesOddly
     - **Conjectured / MVP**
     - ?
     - A minimum viable product exists. Formal statement is present,
       believed true based on evidence or pattern recognition, but no
       proof has been attempted. The MVP is somewhat wobbly --- it works,
       but not much more. Much refinement is required. Analogous to a
       mathematical conjecture or a startup that has its first paying
       customer but no repeatability.
     - Goldbach's Conjecture (1742): precisely stated, universally
       believed true, unproven for 284 years. In this project: a new
       axiom stated formally but without derivation or proof sketch.
   * - **PP**
     - PathProbing
     - **Proposed / Monopoly**
     - |draft|
     - Formal statement accompanied by a proof or structured argument.
       A stable core exists --- successful enough to dominate its niche,
       like a monopoly. But monopolies generate blindness: they solve
       80+% of problems while ignoring the 20% that cause great pain
       to everyone else. PP claims are not yet adversarially tested and
       may harbor hidden weaknesses invisible from inside the monopoly's
       perspective. Analogous to a preprint or to IBM in the era of
       "nobody ever makes a mistake for buying IBM."
     - ax15--ax25 and th5--th11 as first written in OOv1: formally stated
       with proof sketches, before any critique round. The Catholic
       Church in the European Middle Ages: dominant, functional,
       solving most questions of meaning --- but blind to the 20% that
       would eventually drive the Reformation.
   * - **QQ**
     - QualityQuest
     - **Contested / Reformation**
     - |partial|
     - Subjected to adversarial review (quest). The monopoly is broken
       up by faster, better iteration --- feeding innovation. Objections
       have been raised; some resolved, some remain open. The claim is
       under active defense, increasingly refined but still fluid.
       Like the Protestant Reformation: the breaking-up of intellectual
       monopoly through critique, counter-critique, and competition
       among formulations.
     - ax15--ax25 and th5--th11 after OOv1's 3 critique rounds: C1
       (bistability unproven) rebutted; C2.1 (causal gap) partially
       addressed; feasibility critiques remain open.
   * - **RR**
     - ReviewedRelease
     - **Defended**
     - |checkmark|
     - All critical objections resolved through the quest process.
       Proper stability for very broad use begins here. The author
       judges the claim publication-ready. Remaining objections (if any)
       are classified as non-critical or as scope limitations.
       Comparable to a peer-reviewed and accepted paper.
     - ax1--ax14, th1--th4: poster PPv1r1p1. Note: assessments differ ---
       Claude (dv_ClaOp46Max_RR) deems ax1--ax14 defended; LLoL
       (iv_LLoL_PP) retains PP pending broader feedback.
   * - **SS**
     - StableSource
     - **Established**
     - |star|
     - Widely accepted by the relevant intellectual community after
       broad global review and adoption. Multiple independent checks
       exist. The result has been tested against diverse objection
       traditions and survived. Comparable to an internationally stable
       standard --- or, in the strongest case, like quoting "the Bible"
       on a topic: the reference is so widely accepted that citing it
       settles the question for the community.
     - The Pythagorean Theorem. In this project: no axiom or theorem
       has yet reached SS. SS requires extended community engagement
       beyond the author and AI reviewers.

.. |checkmark| unicode:: U+2713
.. |partial| unicode:: U+25CB
.. |draft| unicode:: U+25A1
.. |refuted| unicode:: U+00D7
.. |star| unicode:: U+2605
.. |rarrow| unicode:: U+2192


Lifecycle Paths
=================

**Forward path (the normal journey):**

::

  MM ──→ NN ──→ OO ──→ PP ──→ QQ ──→ RR ──→ SS
  idea   death   MVP    proof   quest   reviewed  established
         valley         sketch  /reform  release

**The three fast iteration cycles:**

1. **OO (OperatesOddly):** Rapid iteration on the MVP. The claim is
   wobbly; each cycle makes it slightly less wobbly. Many small
   revisions, quick feedback loops.

2. **PP (PathProbing):** Iteration on the proof/argument. The core is
   stable but blind spots exist. Each cycle probes a new path,
   potentially revealing monopoly-blindness.

3. **QQ (QualityQuest):** Adversarial iteration. External critics
   find weaknesses; the author responds. The fastest refinement happens
   here because the feedback is adversarial, not sympathetic.

**The two slower cycles** (RR and SS) involve broader community review
and adoption. These operate on longer timescales and are not the primary
concern during model development.

**Rejection events (can occur at any stage past MM):**

::

  OO ──→ NN    (flaw found in MVP)
  PP ──→ NN    (proof attempt fails)
  QQ ──→ NN    (adversarial review finds fatal flaw)

  From NN:
    ├── feed and grow ──→ re-enter at OO (revised version, incremented)
    ├── fundamental rethink ──→ return to MM (new approach)
    └── proven terminal ──→ KK (KnownKiller, via JJ if intermediate)

**NN is not the end.** Most successful innovations pass through NN
multiple times. Each passage documents what failed and why, building
the knowledge needed to eventually cross the death valley.


Iteration Cycles at Every Stage
==================================

The iteration cycle is **not specific to QQ**. It applies at every
stage transition where a claim is being refined. The same
version/rejection/revision machinery works wherever a claim currently
sits:

**OO iteration (refining the MVP toward PP):**

- ``OOv1`` --- first formal statement.
- ``NN_OOv1`` --- flaw found (e.g., formalization error, missing case).
- ``OOv2_NN_OOv1`` --- revised statement addressing the flaw.
- Continue until a proof or structured argument is attempted → PP.

**PP iteration (refining the proof toward QQ):**

- ``PPv1`` --- first proof sketch.
- ``NN_PPv1`` --- gap found in proof (e.g., unstated assumption, circular
  reasoning).
- ``PPv2_NN_PPv1`` --- revised proof addressing the gap.
- Continue until adversarial review begins → QQ.

**QQ iteration (adversarial refinement toward RR):**

- ``QQv1`` --- first version under adversarial quest.
- ``NN_QQv1`` --- objection succeeds (documented with specific failure).
- ``QQv2_NN_QQv1`` --- revised version addressing the objection.
- ``NN_QQv2_NN_QQv1`` --- further objection; chain continues.
- Continue until all critical objections resolved → RR.

**RR iteration (broad review toward SS):**

- ``RRv1`` --- first reviewed release.
- ``NN_RRv1`` --- community reviewer finds issue.
- ``RRv2_NN_RRv1`` --- revision addressing the issue.
- Continue until broad global acceptance → SS.

**MM** is typically too informal to carry formal version numbers, though
an innovator who systematically journals their intuition development
could in principle track ``MMv1, MMv2, ...``.

**Rules (apply at every stage):**

1. Each version at a given stage gets a monotonically increasing number.
2. Each NN explicitly names the version it refutes.
3. Each responding version names the NN it addresses.
4. If refutation cannot be overcome, the claim stays at NN (and may
   eventually move to JJ or KK if the block is structural).
5. If a fundamentally new approach is needed, start a new claim at MM
   rather than incrementing the version at the current stage.


Advancement Authority: Human Decides, Machine Advises
=======================================================

**Stage advancement is a human decision.** An AI auditor (or any
machine-based assessor) may *propose* that a claim has reached the
criteria for the next stage, but the human author decides whether to
accept the proposal. This asymmetry is deliberate:

- The **machine track** (``dv_`` regime) provides advisory assessments.
  Claude may say "this claim meets PP criteria" or "this claim should
  fall to NN." These are recorded as ``dv_`` VVNs.

- The **human track** (``iv_`` regime, or other human regimes) provides
  authoritative assessments. LLoL (or any human assessor) may agree or
  disagree with the machine assessment. Their VVN is recorded
  independently.

- **For publication and advancement decisions, the human track governs.**
  If Claude assigns ``dv_ClaOp46Max_PPv1`` but LLoL retains
  ``iv_LLoL_OOv3``, the claim is at OO for publication purposes.

- **Disagreement is valuable, not a bug.** When the two tracks diverge,
  the disagreement itself is data: it identifies claims where human
  intuition and machine analysis see different things. These claims
  deserve extra scrutiny.

- **The machine may insist.** If Claude believes a claim is at a
  different maturity level (higher *or* lower) than the human
  assessment, Claude should say so clearly and maintain the divergent
  ``dv_`` VVN. The human is free to override, but the machine
  assessment remains in the record. Future reviewers can see both.

**The 2-track system in practice:**

.. list-table::
   :header-rows: 1
   :widths: 15 20 20 45

   * - Claim
     - Human VVN (iv\_)
     - Machine VVN (dv\_)
     - Implication
   * - ax15
     - ``iv_LLoL_OOv2``
     - ``dv_ClaOp46_QQv2``
     - Machine sees more maturity than human.
       Claim stays at OO for publication.
       Divergence flags ax15 for review.
   * - th8
     - ``iv_LLoL_PPv1``
     - ``dv_ClaOp46_NNv1``
     - Machine sees a flaw human missed.
       Human should investigate the NN reason.
       May accept (→ NN) or rebut (→ maintain PP).
   * - ax1
     - ``iv_LLoL_PPv1``
     - ``dv_ClaOp46_RRv1``
     - Machine more confident than human.
       Human retains PP pending broader feedback.
       Both assessments are valid and recorded.


Connection to POST Pipeline
==============================

See :ref:`compiler-stayvs` for the full JJ/KK integration. In brief:

- **JJ (JammedJob):** known problem, hope of fix. Can rescue NN claims.
- **KK (KnownKiller):** proven terminal. The actual graveyard. Unlike NN,
  KK carries no hope --- but it carries understanding of *why* this fails,
  which prevents others from repeating the same error.

The distinction matters: calling something NN when it should be KK gives
false hope. Calling something KK when it could be rescued (JJ → NN → OO)
kills innovation prematurely.
