# M2M-MED-01 Output Decomposition

Version: `0.1.0-MEDIATIO-OUTPUT-DECOMPOSITION`
Date: `2026-08-21`
Request ID: `M2M-MED-01`
Status: `ACCEPTED PHASE 0 PLAN / FUTURE CANDIDATE SLICES / NON-RUNTIME`
Authority effect: `NONE`

## 1. Decomposition law

M2M-MED-01 remains one coordination request but produces five independent
specification slices. A PASS in one does not promote or imply a PASS in
another.

```text
MED-A ARITHMETICA -----------+
                             |
MED-B KABBALAH PROFILES -----+--> MED-D AGENT INTERFACE --> MED-E PREPARATION
                             |
MED-C GRAPHUS / ROTAS -------+
```

MED-A, MED-B, and MED-C may begin independently after manual activation of
each bounded slice. MED-D requires their interface decisions. MED-E requires
MED-D plus direct compiler/source-policy review. No slice starts automatically.

Every material claim in a later output must carry `CLAIM_ORIGIN` and
`REVIEW_DISPOSITION`. Every slice must have a separate branch, exact pathset,
test contract, completion report, and manual integration decision.

## 2. MED-A — Arithmetica mediation

Proposed branch: `docs/med-a-arithmetica-mediation`
Proposed destination:
`_01_INTEGRATION_CANDIDATES/CROSS_STACK_MEDIATIO/MED_A_ARITHMETICA/`

### Entry gate

- integrated Arithmetica tree `cc49a7fd` remains unchanged;
- direct current TENET, ROTAS, AREPO, SATOR, source register, tests, and
  validator are refreshed;
- no request to rename the canonical quality vocabulary; and
- the future Ars Liberalis taxonomy remains out of scope.

### Owned questions

- synthesis vs harmonization;
- amplification vs generation;
- transition vs implication;
- qualitative difference;
- parity;
- multiplicative order and base-neutrality;
- `10_n -> 1_(n+1)`;
- cardinality-as-process;
- nested resolution; and
- the status of the 100-practice coding matrix as test data.

### Required output

- `MED_A_ARITHMETICA_DECISION_RECORD.md`;
- proposition matrix with origin/disposition;
- counterexample and falsification registry;
- formal test requirements;
- accepted/rejected/deferred vocabulary;
- downstream interface notes for Graphus and agents; and
- completion report.

### Acceptance and stop

Pass only if numeric truth remains prior to qualitative projection and no
process verb replaces a current quality. Stop for human review before any
TENET/ROTAS/AREPO/OPERA/SATOR source patch, promotion, or new canonical mapping.

## 3. MED-B — Kabbalah extraction and agent profiles

Proposed branch: `docs/med-b-sephirotic-agent-profiles`
Proposed destination:
`_01_INTEGRATION_CANDIDATES/CROSS_STACK_MEDIATIO/MED_B_KABBALAH_AGENT_PROFILES/`

### Entry gate

- current human decision that Kabbalah is research substrate, not integration
  candidate, is restated;
- TENET SEPHIROT, ROTA SEPHIROT, Netivotica, Arbor, Yetziratica, and the local
  index are refreshed at tree `b5691dfb`;
- no universal node-to-Sephirah map is presumed;
- no GRADUS authority is presumed; and
- Kabbalah source files remain unchanged.

### Owned questions

- candidate `SEPHIROTIC_AGENT_PROFILE` and contextual binding schemas;
- multiple source systems and conflicting placement orders;
- binding lifecycle, expiry, allowed functions, prohibited inference, loss,
  context isolation, delegation, return, and escalation;
- example Geburah/node-5 and Chesed/node-4 placements without identity;
- Netivot pattern-extraction envelope, not a concrete Graphus bridge;
- Kabbalistic ROTAE as future design-source registry;
- linguistic-subtree extraction inventory; and
- the boundary of nullable/future GRADUS references.

### Required output

- `MED_B_CONTROLLED_EXTRACTION_DECISION_RECORD.md`;
- candidate profile and placement-interface specification;
- source-system and mapping-provenance registry design;
- negative fixtures for frozen mapping and identity collapse;
- Netivot-pattern extraction requirements;
- Linguistica future-extraction manifest;
- prohibited-import ledger; and
- completion report.

### Acceptance and stop

Pass only if every profile placement is external, contextual, versioned,
replaceable, source-traced, and non-authoritative. Stop if implementation would
integrate the Kabbalah tree, define traditional names as node identities,
author final agents, create Graphus edges, or invent GRADUS permissions.

## 4. MED-C — Graphus and ROTAS mediation

Proposed branch: `docs/med-c-graphus-rotas-mediation`
Proposed destination:
`_01_INTEGRATION_CANDIDATES/CROSS_STACK_MEDIATIO/MED_C_GRAPHUS_ROTAS/`

### Entry gate

- consume Graphus canonical root blob `d1408262` and HP-006-C record without
  treating old branch `06633b90` as a composition base;
- retain the first edge set, tests, support specifications, TENET, instances,
  and bindings as candidate/non-runtime/no-authority-effect;
- refresh root ROTAS `2.4.0` and Arithmetica graph-export boundaries; and
- no geometry-derived edge is allowed.

### Owned questions

- exact Graphus/ROTAS complementarity;
- graph object, instance, edge-set, ROTA, traversal, execution, and trace;
- whether `PERCURSUS` is useful as a realized traversal record;
- whether `HABITUS` is useful as a preference record and where it belongs;
- revisit and state-delta requirements;
- pattern-ingestion interface with explicit loss and edge-set status; and
- cross-branch path/hunk isolation needed for later Graphus integration.

### Required output

- `MED_C_GRAPHUS_ROTAS_DECISION_RECORD.md`;
- lifecycle/status matrix;
- optional PERCURSUS/HABITUS candidate vocabulary disposition;
- pattern-to-edge admission contract;
- cross-branch integration hazard record;
- negative-test specification; and
- completion report.

### Acceptance and stop

Pass only if Graphus root canon remains non-runtime and no dependent candidate
is upgraded. Stop if a pattern, rule, geometry, preference, or repeated utility
would create or mutate an edge without independent review.

## 5. MED-D — Cross-stack agent interface

Proposed branch: `docs/med-d-cross-stack-agent-interface`
Proposed destination:
`_01_INTEGRATION_CANDIDATES/CROSS_STACK_MEDIATIO/MED_D_AGENT_INTERFACE/`

### Entry gate

- MED-A, MED-B, and MED-C interface records available;
- approved Five-Class invocation-epoch invariant read from blob `24b67f78`;
- GRADUS remains nullable or a separately gated dependency;
- no runtime provider, agent implementation, or deployment path is selected.

### Candidate package

```yaml
MEDIATED_AGENT_CONTEXT:
  context_id:
  invocation_epoch:
  local_goal:
  write_scope:
  tenet_evidence_ref:
  rotas_evidence_ref:
  arepo_decision_ref:
  agent_profile_ref:
  sephirotic_binding_ref: null
  gradus_ref: null
  graphus_instance_ref: null
  traversal_record_ref: null
  preference_record_ref: null
  arithmetic_contract_ref: null
  source_package_ref:
  qualified_liber_refs: []
  return_schema_ref:
  escalation_rule_ref:
  expiry_condition:
```

### Required output

- interface specification and schema candidate;
- evidence/freshness and invocation-epoch rules;
- context-isolation, delegation, return, and escalation contract;
- positive and negative fixtures;
- source-authority and LIBER qualification boundary;
- failure taxonomy; and
- completion report.

### Acceptance and stop

Pass only if TENET and ROTAS evidence is current before AREPO admits each OPERA
epoch and if every optional surface retains independent authority. Stop before
agent creation, provider registration, runtime, deployment, or GRADUS mutation.

## 6. MED-E — Vibe-coding preparation interface

Proposed branch: `docs/med-e-source-authoritative-preparation`
Proposed destination:
`_01_INTEGRATION_CANDIDATES/CROSS_STACK_MEDIATIO/MED_E_PREPARATION_INTERFACE/`

### Entry gate

- MED-D interface complete;
- direct source-precedence and LIBER object/informant rules refreshed;
- `M2M-COMPILER-01` consumes this output later rather than being implemented
  here; and
- no universal natural-language compiler claim.

### Required pipeline distinction

```text
ORIGINAL_PROMPT
  -> INTERPRETATION_RECORD
  -> SOURCE_AND_AUTHORITY_RESOLUTION
  -> DIFFERENTIATED_DESIGN_STATE
  -> MEDIATED_SOURCE_SPECIFICATION
  -> OPTIONAL_MACHINE_REPRESENTATION
  -> IMPLEMENTATION_CANDIDATE
  -> TEST_OR_PLAYTEST_EVIDENCE
  -> UPWARD_REVISIT_PACKET
```

### Required output

- source-authoritative preparation contract;
- prompt/interpretation/transformation provenance schema;
- source/code/test conflict taxonomy;
- finite-loop and exhaustion interface candidate;
- upward-revisit evidence packet;
- MACHINA compilation-target boundary;
- negative fixtures for hidden authority and silent source rewriting; and
- completion report.

### Acceptance and stop

Pass only if original prompt, interpretation, transformations, sources,
assumptions, conflicts, tests, and revisit evidence remain separately
recoverable. Stop before compiler implementation, code generation, runtime,
deployment, source mutation, or autonomous retry loops.

## 7. Cross-slice ownership map

| Surface | Owner | Consumers | Prohibited transfer |
|---|---|---|---|
| numeric carrier/quality/rules/reduction | MED-A / Arithmetica | C, D, E | arithmetic rule -> canonical edge |
| Sephirotic source/profile placement | MED-B | D | Sephirah -> node identity or authority |
| Netivot pattern extraction requirements | MED-B | C | source connection -> Graphus edge |
| graph object/instance/edge lifecycle | MED-C / Graphus | D, E | reachability -> permission |
| ROTA traversal selection | ROTAS, mediated by C | D | ROTA -> path or execution |
| agent context package | MED-D | E, QATH, deployment | profile -> provider authority |
| prompt-to-source preparation | MED-E | compiler | interpretation -> silent source rewrite |
| SVG cognitive-artifact laws | future NOTAE slice | MACHINA/SVG consumers | geometry -> topology; text -> automatic paths |
| renderer-neutral representation | MACHINA | D, E, SVG slices | schema validity -> execution authority |

## 8. Human gates retained

A new human decision is required before:

- mutation of current Arithmetica vocabulary or law;
- adoption of a universal agent-profile mapping;
- Graphus edge-set canonization or concrete Netivot-edge import;
- adoption of PERCURSUS/HABITUS as governed terminology;
- creation of GRADUS authority;
- Kabbalah integration or Linguistica extraction mutation;
- NOTAE law promotion, MACHINA relocation, or root/transversal placement;
- compiler/runtime/deployment implementation; or
- integration of any MED branch.

## 9. Next eligible slice

Phase 0 makes MED-A, MED-B, and MED-C independently eligible for a fresh manual
activation. Given the current human clarification and immediately usable source
material, MED-B is the highest-information next slice. This is a scheduling
recommendation, not automatic activation.