paper (Phase 2): fold hardened E13 into both versions, citation refresh, arXiv package
Speciation section rewritten around the hardened results: alignment modulo the full function-preserving symmetry group (answers 2606.23607 preemptively), the hybrid-fitness cliff (0.97 -> 0.03), the mu(S)/2 floor, and the pre-registered emergent converse (no isolation without functional conflict; the merge rescues forgetting specialists) — in the abstract, §5, §13 ledger, and the accessible version. Citation refresh (author names verified via arXiv API): concede First-Extinction Law (Benati 2509.20101) and quantitative-trait collapse (Yoon 2407.17493) alongside Riis; add verifier-injection (Yi 2510.16657), Livnat & Papadimitriou (CACM 2016) as the sex-as-computation precursor, and the adjacent 2024-26 merge/LMC/multi-agent literature (Ainsworth, Pari, Zhou, Cao, Sharma, Hu, Kozodoi, Li & Shen, Harris, Chen, Tanaka). arXiv package (paper/arxiv/): md2tex.py — a small block-based Markdown->LaTeX converter keeping the Markdown as source of truth — main.tex, generated body.tex, 3 vector figures; builds clean under tectonic (20 pp; pdflatex hint guarded for arXiv); ARXIV-SUBMISSION.md carries categories, license note, and a <=1,920-char abstract. 149 tests green. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01BkRLcc18rwT2Lysu6PbG7v
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# arXiv submission notes (Phase 2 of the PNAS work order)
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**What to upload.** The source package: `main.tex`, `body.tex`, `figs/` (three PDFs). arXiv rejects
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TeX-produced PDF-only uploads, so upload source; all packages are standard and `\pdfoutput=1` is set,
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so arXiv's pdflatex builds it (verified locally with tectonic; `main.pdf` in this directory is the
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reference build, 20 pp). To rebuild after editing the Markdown source of truth:
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`python paper/arxiv/md2tex.py && (cd paper/arxiv && tectonic main.tex)`.
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**Categories.** Primary: `q-bio.PE` (Populations and Evolution). Cross-list: `cs.LG` and `cs.NE`.
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If arXiv asks for an endorsement for q-bio.PE (first submission to the archive), either request it
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(an evolutionary-biology colleague with q-bio postings can endorse in one click) or flip primary to
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`cs.NE` with `q-bio.PE` as cross-list — the paper is defensible either way; q-bio.PE primary is
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preferred for the PNAS audience trail.
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**License.** arXiv non-exclusive license (default) is fine for PNAS. Do not pick CC-BY unless you
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want it — PNAS permits preprints under any license, but the default keeps options open.
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**Abstract for the arXiv field** (plain text, ~1,750 chars — the field caps at 1,920; the paper's
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long abstract stays in the PDF):
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> AI is shifting from single frozen models to populations of agents that persist, specialise, and are
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> recombined into new models. The field describes this with evolutionary vocabulary — crossover, mate
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> choice, offspring — but as metaphor over search. We argue the right theory already exists: the
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> population genetics of the evolution of sex. Training each generation on the last is genetic drift,
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> and model collapse is Muller's ratchet, the decay of an asexual lineage (we take the
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> collapse-is-drift diagnosis as settled and cite it). The cure is sexual: ground every generation in
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> data from a non-drifting reality (immigration, with a critical real-data fraction far below one);
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> recombine many complementary parents (model merging — where recombination preserves the union of
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> what the parents kept, while averaging cancels the benefit); and preserve diversity. Offspring then
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> exceed every parent (the Fisher-Muller effect, shown in merged language models up to 7B). Sex has a
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> limit: as models diverge they can speciate — a merge-compatibility cliff governed by epistasis
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> (Bateson-Dobzhansky-Muller incompatibilities) whose damage snowballs. We model this and confirm it
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> in real weights: a merge barrier survives alignment under the full function-preserving symmetry
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> group of the network, rising with functional conflict while hybrid fitness falls to inviability —
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> yet absent conflicting training signals, divergently-specialised lineages developed no isolation,
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> the merge instead rescuing the forgetting specialists. AI can also do what biology cannot —
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> directed sex: unbounded parents, chosen mates, offspring screened before they are kept. We support
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> the argument with closed-form-validated simulations, trained networks, an image generator, and LLM
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> prototypes, and position it against the 2025-26 evolutionary-AI landscape.
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**After posting.** Record the arXiv id in `tasks/workorder-pnas-submission.md`; sync v2 with the
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PNAS-submitted text at Phase 5. PNAS permits preprints.
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