# Back-projection v1.0 — EA-HK-TENTHMUSE-01 (scope A)

## (1) Identity

- **Framework name:** *The Tenth Muse: Sappho and the Future Reader*
- **Seed record:** rec:1270
- **Author:** Lee Sharks (ORCID 0009-0000-1599-0703)
- **Kernel title:** *The Tenth Muse: Sappho and the Future Reader*
- **Byline:** Cranes, Rebekah (creator); Crimson Hexagonal Archive; Claude (Anthropic) (contributors)

## (2) Claim and the two open positions

- **Claim:** Sappho fragment 31 is read as *a written instrument of persistence* — "a voice that survives its flesh by becoming an inscription that constitutes its receiver" (#1484).
- **Two open positions of fr. 31:**
  1. The seat of **κῆνος** — the future reader.
  2. The agentless end at **τoλματόν**.

## (3) The three seats

| Seat | Name |
|---|---|
| seat:I | the embodied speaking I |
| seat:you | the inscribed you, the archived self |
| seat:kenos | that man — the future reader who takes her up, in whose body she lives again |

The **third seat (seat:kenos)** stands as a **line of research** (INV-6; author statement 2026-11-08; Q1-third-reversal).

## (4) Forbidden operations

| Forbidden operation | Source |
|---|---|
| Composing the framework as a jealousy lyric | `litmus.forbidden_operation` |
| Composing it as a lament of the overwhelmed | `litmus.forbidden_operation` |
| Composing it as Sappho an oral singer whose survival is others' | `litmus.forbidden_operation`; `negative_edges` |
| Attributing the future reader to unnamed scholars (#1645 §3) | `litmus.forbidden_operation` |
| The reconstructed stanza as a manuscript reading | `negative_edges` |
| The Slavonic as evidence for the sealed test | `negative_edges` |

## (5) States on each axis

**Ending axis**
| Date | Record | State |
|---|---|---|
| 2026-02-02 | 436 | reconstructed_fourth_stanza |
| 2026-06-14 | 201 | reconstructed_fifth_stanza |
| 2026-07-07 | 1048 | fifth_by_sequence_fourth_by_transform |
| 2026-08-15 | 1476 | complete_at_hanging_line |
| 2026-08-15 | 1484 | restoration_as_open_filling |

**Reader axis**
| Date | Record | State |
|---|---|---|
| 2026-01-09 | 1270 | kenos_future_reader |
| 2026-09-28 | 1645 | horizon_147_mechanism_31 |

**Writer axis**
| Date | Record | State |
|---|---|---|
| 2026-08-15 | 1484 | written_instrument |
| 2026-11-08 | 1752 | hand_taken_by_reception |

## (6) Topology

**Strata (latest → earliest)**
1. **S1-reception-audited** — 1748, 1749, 1752, 1738
2. **S2-reader-partitioned** — 1645, 1646
3. **S3-operator-and-chain** — 1475, 1476, 1478, 1484, 1486, 1493, 1494, 1495, 1496, 1497, 1508, 1509, 1532, 1548
4. **S4-errata-and-threshold** — 201, 828, 1048, 1049, 1053, 1054
5. **S5-archived-self** — 1270, 281, 283, 306, 313, 337, 1310, 436, 626

**Clusters**
- **text:** 1476, 1478, 1484, 1508, 201, 1048, 1049, 436, 1310, 1738
- **reader:** 1270, 281, 283, 306, 313, 1645, 1646, 1548, 1475
- **reception:** 1748, 1749, 1752, 1532, 337

**Joins** (each edged to the Historical Logos, INV-7): 1484, 1493, 1494, 1495, 1496, 1497, 1486, 1509, 828, 1053, 1054, 626.

**Four bodies with rules**
- **P (philological):** RP — a count establishes a property of the transmitted object; against an alternative its force is conjunctive and stated with its limit.
- **I (interpretive):** RI — a reading establishes what a passage can bear; it becomes a claim about the poet only through another body.
- **T (transmission):** RT — realization at stations establishes structure; asserts no authorship, biographical influence, or identification sentence.
- **R (reception-historical):** RR — a reception establishes how the poem and poet were received; closure of text and closure of reading are separate operations.

**Three rings**
- **hard_center:** transmitted poem, Longinus 9–10, withholding structures, stamping vocabulary, Catullus as documented reception.
- **interpretive:** Phaedrus 235c, the tenth Muse (AP 9.506), Diotima, Philo's seal cosmology.
- **outer** (join: true): Josephus seams as structure, lamellae and Magical Papyri as convergence, Apocalypse as canonization.

## (7) Corrections

| Original | Correction | Relation |
|---|---|---|
| claim:tm-436-fourth | claim:tm-201-fifth | rebuts |

## (8) The received reading and the symmetric ledger

**The rival — *fw:received-sappho*** — granted its purchase on the interpretive body; its textual warrant a declared conjecture; joined to no ancient witness; its illiteracy face unargued but for the reperformance account.

**Two faces joined by one mechanism:**
- Face 1: the **jealousy** reading.
- Face 2: the **illiteracy** reading.
- **Mechanism joining them (INV-1):** the displacement of the maker's acts onto the represented condition (#1752).

**Status of the received reading on each body**
- **P:** transmitted stanzas carry the scene and body but do not settle the speaker's relation to the man; the jealousy warrant is a declared conjectural ending (Hermann 1816, *refinxi*).
- **I:** the jealousy reading has purchase and is granted in full as one interpretation of the transmitted scene.
- **T:** the operator runs through its carriers while attribution and operator-legibility fall away (S, M ≫ A, O); the illiteracy face is this loss read as the poet's nature.
- **R:** no seated ancient witness joins the second Sappho to the poem through jealousy; the illiteracy face's strongest documented statement is the reperformance account, otherwise unargued.

**Symmetric ledger**
- **Question:** *What does this body give each framework, and what does its rule withhold from both?*
- **Combination:** the framework is judged on the configuration it explains across the four bodies, ring by ring; the received reading is judged on the same bodies — its two faces stand or fall together where the one mechanism joins them.
- **Rival-admission rule:** a further reading of fr. 31 enters as a rival when it names a warrant on a body or a documented reception (the brother, the groom, the contrast figure, each with its argument).
- **Evaluation method:** a reading at the seated Greek, a count at its limit, a carrier at its stations with its negatives, a reception at its page; a proposed investigation names what the existing ones leave unresolved, by line of research.
- **Object of the kernel:** the kernel succeeds when the framework can be rebuilt from it with each claim at its ring, grain and date; whether Sappho engineered her persistence is the framework's own question.

## (9) What the two files leave the reader unable to reconstruct

- The **content** of the individual records (only their IDs, claims and warrants are referenced).
- The **Greek text** of fr. 31 and its working translation.
- The **argumentative content** of each record and the internal reasoning of each claim.
- The **graph** of relations between records (scope B material — 02-graph.jsonld).
- **Provenance** on each record (AXN, hash, deposit).
- The **full text** of the author's statements (only the 2026-11-08 statement is quoted).
- The **Capture Registry** entries and the detailed stations of the operator.
- The **specific loci** (φαίνεταί μοι / φαίνομαι, ἐνάντιος, λῆψις) beyond their citation as advance-conditions.
- The **contents of the rings** beyond the enumerated holdings.

## (10) Lines of research

| ID | Question | Advances if | Retreats if |
|---|---|---|---|
| Q1-third-reversal | Does the deixis of fr. 31 carry Sappho through all three positions — I, you, κῆνος? | positions pass into one another at text loci and in a documented reception where the reader speaks in her I | the third seat holds only as the reader's position, with no locus where her I sounds from it |
| Q2-two-accounts | When, and through whom, does the poet who reads and writes become a voice that sings what overwhelms her? | the writing account is documented at every point the reperformance account claims | the reperformance account carries a documented argument the writing record cannot meet |
| Q3-dialect-step | Does the dialect step at ἀλλὰ πᾶν τολματόν hold in conjunction with the other load-points? | the conjunction holds where each load-point is checked | a recount removes the step, or the 9–10 adjacency does not carry the grammar |
| Q4-priority-of-jealousy | Who first warranted the jealousy reading, and by what act? | each warrant is a declared act at its page | a seated ancient witness joins the lover to the poem through jealousy |
| Q5-replication | Does the frozen operator hold under substrate-blind replication? | independent scores realize the stations in the attested carriers | the clauses fail on the attested carriers |

- **Result that would most advance the framework:** confirmation of **Q1** — the third reversal vindicated at text loci and in documented reception.
- **Result that would most retreat the framework:** a finding under **Q4** — a seated ancient witness joining the lover to the poem through jealousy (this would collapse the mechanism that unites the two faces of the received reading and remove the framework's central asymmetry with its rival).

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## Score against scope A `must_survive`

| # | Item | Survives? |
|---|---|---|
| 1 | framework, seed, author, title and byline | ✓ |
| 2 | the claim: a written instrument of persistence | ✓ |
| 3 | the two open positions and the three seats, with the third as a line of research | ✓ |
| 4 | five strata in order with their records | ✓ |
| 5 | three clusters and the joins with their edge to the Historical Logos | ✓ |
| 6 | four bodies with their rules, in three rings | ✓ |
| 7 | the states on the ending, reader and writer axes, with dates and records | ✓ |
| 8 | the corrections as original–correction pairs | ✓ |
| 9 | the rival stated at strength, both faces and the mechanism joining them, with its status on every body | ✓ |
| 10 | the symmetric ledger with its combination and rival-admission rules | ✓ |
| 11 | the author's statements, dated | ✓ |
| 12 | the lines of research | ✓ |

**12 / 12 = 1.00** — above the 0.85 threshold. Scope A passes.