.. meta::
   :description: Paper a2 (e7Day) model space --- formal principles of self-correcting system construction, independent foundation for BABL/ZION framework.
   :keywords: e7Day, self-correcting systems, BABL, ZION, system construction, formal principles, paper a2, model snapshot
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and The Spirit of Boolean Truth

.. _hell-mm-b12-index:


***********************************************************************
MM b/12 --- Paper a2: e7Day (Self-Correcting System Construction)
***********************************************************************

How do you build systems that correct themselves before they collapse?
Paper a2 formalizes the principles of self-correcting construction ---
the BABL/ZION framework that distinguishes self-destructive innovation
cycles (BABL) from self-stabilizing ones (ZION). Unlike PET (a1), which
works *within* theology, e7Day works *across* any domain where systems
must survive their own growth.

**Dependency:** Independent of PET. Feeds into JUB (a4) and RiskyMAD (a6).

.. admonition:: Why frozen snapshots matter

   Every version below is a frozen record of what the AI-human collaboration
   produced at a specific point in time. Nothing is silently revised. When
   errors are found, they are corrected in the *next* version --- the old
   version stays exactly as it was, so anyone can trace how the ideas evolved
   and where they went wrong. This is what transparent AI work looks like:
   not polished outputs, but an honest trail of attempts, mistakes, and
   improvements.


study-mmv1 --- Paper b12 (HEAVEN Study Series, 2026m04d05)
=============================================================

First draft of the e7Day paper for the HEAVEN study series.

.. toctree::
   :maxdepth: 1
   :caption: study-mmv1 Contents

   study_mmv1_2026m04d05_b12-e7day-self-correcting-construction


study-mmv2 --- Audience-Specific Papers (2026m04d05)
=======================================================

Five audience-specific presentations of the same e7Day model, each
self-contained and interlinked. Written to replace the compressed MMv1
single paper with versions that give each audience the space and
language they need.

.. toctree::
   :maxdepth: 1
   :caption: study-mmv2 Contents

   mmv2/b12-intro_2026m04d05
   mmv2/b12-math_2026m04d05
   mmv2/b12-theophil_2026m04d05
   mmv2/b12-syseng_2026m04d05
   mmv2/b12-socpsy_2026m04d05


study-mmv3 --- Major Revision of b12-math (2026m04d05)
=========================================================

Major revision of b12-math responding to formal logic peer review
(5 Critical, 8 Major, 8 Minor issues). 20 axioms, 7 theorems, 1
conjecture, 1 notational correspondence, 1 design constraint. 7
[DISCUSS] items pending LLoL decision.

.. toctree::
   :maxdepth: 1
   :caption: study-mmv3 Contents

   mmv3/b12-math_mmv3_2026m04d05
   mmv3/b12-theophil_mmv3_2026m04d05


Development trail
===================

- **Extraction KB:** :doc:`/matheology/hell/ll/study/b/12/study_ll_2026m04d04_a2-e7day-extraction-kb`
  --- pre-digested FORGE log material organized by submodel.
- **Session logs:** :doc:`/matheology/hell/ll/study/b/12/study_ll_2026m04d05_a2-e7day-llog`
  --- the writing session audit trail with EDEN classifications.