MachineSex/paper/the-evolution-of-sex-for-ai.md
Giorgio Gilestro f5f68f5249 E14: mating systems — monogamy vs promiscuity (mate-pool breadth)
A new analytic experiment on an orthogonal evolution-of-sex axis: not the
recombination RATE (E9) but the population's mating STRUCTURE. Agents on a
ring recombine with a second parent drawn from a window of breadth b
(b->0 monogamous/isolation-by-distance, b=1 promiscuous/panmictic), under
local selection, swept against NK ruggedness K.

Finding: the optimal mate-pool breadth SHRINKS as skills get more
entangled. Wide/promiscuous merging wins the champion on additive
landscapes (K<=3, b=0.6), but on rugged ones (K>=6) it prematurely
converges to a worse champion and an intermediate breadth (b~0.35) wins;
pure monogamy over-fragments. Throughout, promiscuity monotonically lifts
the population MEAN but destroys diversity and parallel exploration. The
design rule extends E9: merge widely for additive skills, keep
island-structured sub-populations for entangled ones — a merging-native
axis the panmixia-assuming literature lacks.

- src/knowledge/mating_system.py + experiment.py dispatch (kind: mating_system)
- configs/layer1/E14.yaml (breadth x K sweep, 20 reps, bitwise-reproducible)
- figures/plot_E14.py; results/E14/ (figure, README, manifest, resolved config)
- tests/test_mating_system.py (+5, 147 green); make layer1 wired
- folded into both papers (full + accessible) as the third §5 result

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-07-09 12:38:50 +01:00

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# The Evolution of Sex for Artificial Intelligence
### A population-genetic control theory for societies of agents that reproduce, recombine, and stay open-ended
*A perspective, written from a geneticist's chair. Companion to a set of minimal, reproducible working
models and a first language-model prototype (both built).*
**Giorgio F. Gilestro** · Department of Life Sciences, Imperial College London ·
giorgio@gilest.ro · https://lab.gilest.ro
---
### A note on vocabulary (please read this first)
This paper sits at the meeting point of three fields, and it is written so that a reader from any
one of them can follow all of it. We therefore **spell out** each field's jargon the first time it
appears, even at the risk of belabouring the obvious for the specialist. A short glossary, in case
you skipped a definition:
- **Model collapse** *(machine learning)* — the degeneration that happens when you train a model on
data produced by earlier models, over and over: rare cases disappear and the model drifts toward a
bland average.
- **Distillation** *(machine learning)* — training a fresh "student" model on the outputs of one or
more "teacher" models, so the student ends up knowing a compressed version of what they knew.
- **Model merging** *(machine learning)* — combining several trained models directly, at the level
of their weights, into one — no retraining. (Think of it as breeding two models rather than
teaching a third.)
- **Genetic drift** *(population genetics)* — the random loss of rare variants that happens in any
finite population simply because not everyone leaves offspring. It is the neutral, no-selection
baseline of evolution.
- **WrightFisher process** *(population genetics)* — the standard mathematical model of drift. We
will claim, and show, that generational model-training *is* this process, not merely like it.
- **Recombination / sexual reproduction** *(biology)* — making an offspring by combining pieces from
more than one parent, rather than copying a single parent (which is *asexual* reproduction).
- **Muller's ratchet** *(population genetics)* — the way an asexual lineage, one that never
recombines, accumulates damage it can never undo. It is, we will argue, the same thing as model
collapse.
- **Catastrophic forgetting** *(machine learning / neuroscience)* — a neural network overwriting what
it knew when it learns something new.
We have tried to keep the big picture legible on every page, and to be candid about what is argument
and what is evidence. The evidence is mostly from **deliberately small models** — mathematics, small
neural networks, image generators, and evolutionary simulations. A first bridge to real language
models exists — a prototype that recombines LoRA-specialised Qwen models up to 7B on a GPU cluster,
which confirms the recombination signs (below) — but the *full grounded society* has not yet been
built on a large language model. We will say so repeatedly, because the gap matters.
---
## Abstract
AI is turning from single frozen models to **populations of agents** that persist, specialise, and are
increasingly *recombined* into new models — a shift visible in multi-agent societies, population-based
self-improvement, and the explosion of **model merging**. The field is doing this with the vocabulary
of evolution — "crossover," "mutation," "mate choice," "offspring that beat their parents" — but as
loose metaphor draped over search algorithms. This paper argues that the right theory is already
written, in the branch of biology that studies exactly this: the **evolution of sex**. Ninety years of
population genetics say precisely when reproducing a population by *recombination* beats copying, when
it backfires, and how to do it better — and, read as a control theory, it tells an engineer how to keep
a society of models learning across generations instead of decaying.
We take one diagnosis as settled and cite it as such: training each generation on the last is
**genetic drift**, and the resulting **model collapse** is the loss of rare variants a finite
population always suffers (the WrightFisher process; formalised for language models by Shumailov et
al., 2024, and Riis, 2026). We claim none of that. Our contribution is the other half — the **cure**,
and its assembly into a theory with predictions. Single-teacher copying is **asexual** reproduction,
and asexual lineages decay by **Muller's ratchet**, which *is* model collapse; the remedy nature found
is **sex**. A society of models should reproduce sexually — each new model **recombined from several
complementary parents** (which the field already does, as *model merging*), selection **anchored to a
reality that can say no** (not to the consensus of other models), and diversity actively **preserved**.
With those three ingredients a lineage does not merely avoid collapse; it **climbs** — producing models
fitter than any ancestor (the **FisherMuller effect**) while each specialty is re-earned and exceeded.
From the geneticist's apparatus we extract falsifiable, load-bearing claims the merging literature has
not: (i) **"merge, don't average"** — recombination preserves the union of what parents kept, while
averaging (a "model soup") is *blending inheritance* that mathematically cancels the benefit; (ii)
**offspring can exceed every parent** (FisherMuller), the real argument for sex in model societies;
(iii) on **rugged, epistatic** task landscapes, blind recombination causes **outbreeding depression**,
yielding a design rule — *merge freely when skills are additive, sparingly and with selection when
entangled, and route rather than blend under overlap*; (iv) **grounding is immigration** from a
non-drifting reality, giving a critical real-data fraction far below one; and (v) — the sharpest new
prediction — sex has a **limit**: as two models diverge they undergo **speciation**, a
merge-compatibility cliff (compatible → outbreeding depression → hybrid inviability) whose onset is set
by divergence *and* epistasis via **BatesonDobzhanskyMuller incompatibilities**, and whose damage
grows *super-linearly* (the OrrTurelli snowball). We introduce and model this "model speciation"
directly, and confirm it in real trained weights: after permutation alignment (Git Re-Basin), a
residual, epistasis-driven merge barrier survives that alignment provably cannot remove — reproductive
isolation, not a coordinate artefact. AI also has an advantage biology lacks: **directed sex** — unbounded parents, chosen mates,
and offspring screened before they are kept — which converts recombination from a gamble into a
reliable engine and has no biological analogue.
We support the argument with **minimal, reproducible models** — a closed-form-exact account of drift
and grounding, the same effects in small trained networks and an MNIST image generator, a real-weight
demonstration of the speciation cliff (a Git Re-Basin residual that survives neuron alignment), and
evolutionary simulations of the whole society — and a first **language-model prototype**: merging
LoRA-specialised Qwen models (to 7B on a GPU cluster) yields a generalist that beats every specialist
parent, with the sharp headroom condition under which "merge, don't average" bites. The scope is
honest: these are existence proofs and design rules; the *whole grounded society* on a large language
model is the open step. We position the work carefully against the crowded 20252026 landscape of
evolutionary-AI and merging methods — conceding what they own and marking, precisely, what a genuine
population-genetics of sex adds.
---
## 1. From a society in space to a society in time
The idea of many AI agents working together — a "society of mind" (Minsky, 1986), or today's
multi-agent systems — arranges intelligence across *space*: several specialists side by side,
dividing a task. This paper is about a different axis: *time*. Not a society that merely exists at
one moment, but one that **persists and renews across generations**, each new cohort of models
starting from the compressed knowledge of the last.
The unit that matters is therefore the **generation**, and the event that matters is **reproduction**:
the making of a new model from older ones. A single model, like a single mind, is bounded and
eventually stops improving. A *lineage* need not be. Human civilisation is not clever because any one
person is; it is clever because each generation inherits the distilled achievements of the previous
one and adds a little. We propose building AI the same way — and, crucially, getting the *reproduction*
right, because that is exactly where it can go wrong.
### Where this sits, and what is new
This axis is suddenly crowded. By 2026 several groups build **populations of models or agents that
improve across generations**: societies of independently-specialised models that self-improve for more
rounds than a single agent (Multiagent Finetuning — Subramaniam et al., 2025); open-ended archives of
self-rewriting coding agents (the DarwinGödel Machine — Zhang et al., 2025); groups that evolve by
sharing experience across branches (Weng et al., 2026); persistent agent *ecologies* with reproduction
and cumulative culture (TerraLingua — 2026). In parallel, **model merging** has become a small industry
with an overtly evolutionary vocabulary: crossover-mutation-selection over LLM populations (GENOME —
2025), niching and "mate choice" (Sakana's M2N2 — 2025), and evolutionary search over merge recipes
(Akiba et al., *Nature Mach. Intell.* 2024/25).
We are candid about the consequence. Two things we do **not** claim. First, that collapse is
WrightFisher drift: formalised independently (Riis, 2026; Shumailov et al., 2024) and conceded here.
Second, the bare empirical facts that a merged model can beat its parents, that decorrelated parents
merge better, and that naive averaging is inferior to sign- or routing-based merges (TIES, DARE,
mixture-of-experts routing): all established. What is genuinely unoccupied — and what a geneticist is
placed to supply — is a **theory** rather than a search heuristic. Every one of the works above uses
evolution as *metaphor over an optimiser*; none imports the predictive apparatus of the evolution of
sex. Nobody has stated the **"merge, don't average" conservation law**, derived **offspring-exceed-parents
as FisherMuller**, predicted **outbreeding depression on rugged task landscapes**, framed **grounding
as migrationdrift balance** with a critical fraction, or connected **reproductive isolation** to when
two models can be merged at all. An evolutionary algorithm that *finds* a super-parent is evidence for
the theory, not a substitute for it — the way CMA-ES existing does not make fitness-landscape theory
redundant. This paper supplies the theory the tinkering has outrun, and states what it predicts and
where it would fail.
## 2. Why today's models cannot do this
Today's large language models have no life cycle. They are trained once, at enormous cost, then
**frozen** and deployed as a fixed artefact that does not learn from the people it serves. Learning
and doing are split into two eras with no bridge between them.
There is a real reason for the freeze. Updating a neural network on new information tends to overwrite
what it already knew — **catastrophic forgetting**, a problem understood since the late 1980s
(McCloskey & Cohen, 1989; French, 1999). Freezing avoids it by refusing to learn at all. The result
is a mind with no childhood, no growth, and no way to pass anything on. A lineage needs the opposite:
members that learn through their working lives, reach maturity, and hand on what they gained. So the
first requirement is a learner that can grow *safely*.
## 3. A learner that can grow without forgetting
The individual model needs two properties.
**It must not catastrophically forget.** Instead of overwriting its core as it learns, it keeps that
core frozen and only *readable*, and carves each new skill into freshly-added capacity beside it. In
machine learning this is called *parameter isolation* (progressive networks — Rusu et al., 2016;
prune-and-freeze — Mallya & Lazebnik, 2018; and, most practically, **LoRA** and other small trainable
"patches" bolted onto a frozen model — Hu et al., 2021). If the core is never altered, forgetting it
is not merely unlikely but structurally impossible. This is what lets a model accumulate a coherent
working life of expertise — the kind of stable knowledge worth passing on.
The brain offers a partial blueprint. *Complementary Learning Systems* theory (McClelland,
McNaughton & O'Reilly, 1995) — itself a response to the forgetting problem — describes two subsystems:
a **fast** store (the hippocampus) that grabs an experience in one shot, and a **slow** store (the
neocortex) that integrates regularities gradually without disruption. We do not lean on any particular
account of how the brain moves knowledge between them; the architecture needs only that *some*
periodic **offline consolidation** step exists, moving knowledge from the fast store to the slow one
when the system is idle. The machine version is clean regardless: the prompt is working memory, an
external database is the fast episodic store, the trained weights are the slow store, and consolidation
migrates the first into the last.
**It is bounded.** Because the model only ever *adds* capacity and freezes what it has, it eventually
fills up. In most designs that is a wall to dread. In ours it is a clock.
## 4. "Full" is maturity, not failure
Here is the pivot. A bounded learner that fills up has not broken. **It has grown up.**
Read the capacity limit as a life stage. A model is *born* as a freshly-schooled base — its general
education. It enters a **working life**, adding specialised knowledge as it does its job. And it
reaches **maturity**: the point where it has learned much of what one working life in its niche can
teach. Maturity is not the end of usefulness — it is the moment the model is most worth learning
*from*. So maturity is the cue to **reproduce**. The capacity ceiling that every other architecture
fights becomes, in ours, the metronome of the generations.
Everything now turns on how that reproduction is done — and this is where the paper's central claim
lives.
## 5. Reproduction: copying collapses, recombination climbs
Suppose a mature model simply teaches a fresh one — distillation, one teacher to one pupil, generation
after generation. This is the obvious design, and it fails, for a reason that is exactly the same in
machine learning and in biology.
**The machine-learning statement.** Training each generation on the previous generation's outputs is
the recipe for **model collapse**: the model forgets the improbable, loses the *tail* of the
distribution (the rare cases) first, and drifts toward its own most common output (Shumailov et al.,
2024). Worse for us, the very rule that makes distillation useful — *keep the general, drop the
idiosyncratic* — **is** tail-deletion by design. The operation that would power a cultural ratchet and
the operation that drives model collapse are the same act.
**The population-genetics statement (the same thing).** Represent a model's knowledge as a
distribution over discrete "items" — capabilities, facts, modes of behaviour. One generation is:
*draw a finite sample from the parent, and refit the child to it.* That finite-sampling step is
**mathematically identical** to **genetic drift** — the random loss of rare variants in a finite
population — described by the century-old **WrightFisher** model (Wright, 1931; Fisher, 1930). This is
not an analogy we find pretty; it is the same equations, and we use them as an exact check on our
simulations (the first of the minimal models below). Rare items go extinct first, roughly ten times
faster than common ones, precisely as drift predicts.
And single-teacher copying is **asexual reproduction** — cloning one parent. Nature already knows what
happens to an asexual lineage that never recombines: it accumulates damage it can never repair, a
one-way decline geneticists call **Muller's ratchet** (Muller, 1964). *Muller's ratchet is model
collapse.* Naming it that way is not decoration; it tells us where the cure is, because biology solved
this problem.
Two ingredients turn the collapse operation into a climb. Both are things nature does.
**First: do not reproduce "dry."** Model collapse is a property of a lineage fed *only* its own
output; the documented fix is that keeping some real data in the mixture arrests it (Shumailov et al.,
2024). We call that real data **grounding** — fresh contact with the world, verified against it. In
our minimal models, grounding is startlingly cheap: mixing in even a few percent of verified real data
holds on to most of the diversity indefinitely. But — an honest limit we found and did not expect —
grounding cannot save the *very rarest* items at any affordable budget; protecting an item of rarity
*p* needs a real-data budget that grows like 1/*p*. Grounding rescues diversity cheaply; it does not,
by itself, rescue the deep tail. Something else must. That something is sex.
**Second: reproduce sexually.** Instead of copying one parent, build each new model by **recombining
several** — a *sexual* rather than asexual birth. In machine learning this already has a name and a
working implementation: **model merging** (Akiba et al., 2024). Its importance here is not efficiency;
it is that recombination does something copying cannot. If several parent models have each specialised
on different parts of reality, each has kept alive rare knowledge the others lost. A recombined child
inherits the **union** of what its parents kept — not the tail-thinned *average* of a crowd of
near-identical copies. And here is the point that lifts sex from a safeguard to the engine of the whole
scheme, and the reason biology invented it:
> **An offspring recombined from complementary parents can be *fitter than any of its parents*.**
Geneticists call this the **FisherMuller effect** (Fisher, 1930; Muller, 1932): recombination brings
together, in one individual, beneficial variants that arose separately in different lineages, so the
child holds a combination none of the parents had. In our simulations this is exactly what we see —
recombining decorrelated specialist models yields a model that climbs toward the best-possible
combination, a genotype *no single parent possessed*, while the best single parent, and the naive
average of all of them (what the field calls a "model soup" — Wortsman et al., 2022), both plateau
well below. This is the concrete meaning of the paper's title claim, "the lineage climbs in general
knowledge; specialisation is re-earned each generation," and it is why the reframing from
teacher→pupil to *sexual reproduction* is not cosmetic: **copying can only recover a ceiling;
recombination can exceed it.**
This is no longer only a simulation. In a first language-model prototype — LoRA specialists on
disjoint task families, recombined and judged by an exact verifier — a merge of three specialist Qwen
models (7B, on a GPU cluster) **beats every single specialist**, overall and on every family: the
FisherMuller effect, in real weights. The same prototype pins down *when* the finer "inherit the
union, don't average" rule actually bites. Keeping each parent whole and **routing** each input to the
right one beats the tail-thinning average — but only when the task is hard enough to leave room to
lose: on easy tasks a strong model's plain average is already at the ceiling, so the crude soup is
fine, whereas on hard tasks the average dilutes a hard-won specialist so badly it falls below even the
best single parent, and routing wins by a wide margin. The rule is therefore precise: **the union
beats the average in exact proportion to how far the average is from the best attainable** — a caveat
that sharpens rather than weakens the claim, and that a practitioner needs before spending compute on
the fancier operator.
Three results keep this honest, and all are results, not hand-waving.
*Sex can backfire.* When the parents' skills are not cleanly separable but **entangled** — when the
value of one capability depends on which others are present (geneticists call this **epistasis**) —
blindly recombining two good models can produce a *worse* child, because recombination breaks up a
combination that only worked as a whole. Biologists call this **outbreeding depression**, and we
reproduce it: on "rugged" (highly entangled) problems, naive merging drops offspring below their
parents, and the more you mix the worse it gets. The design rule that falls out is simple: *merge
freely when skills are complementary; merge sparingly, and carefully, when they are entangled.*
*The mating system matters too — not just who mates, but how widely.* The result above is about the
recombination *rate*; a separate knob is the population's **mating structure** — whether reproduction is
**monogamous** (each model recombines within a narrow, local circle) or **promiscuous** (mates drawn
freely from the whole population). Almost all model-merging implicitly assumes promiscuity — fuse
everything, or route over one flat pool — but population genetics says the breadth of gene flow is itself
consequential, because wide flow spreads good variants fast while **homogenising** the population, and
narrow flow preserves the distinct sub-populations needed to explore several solutions at once (Wright's
*shifting balance*). We sweep exactly this breadth against landscape ruggedness, and the optimum moves:
on smooth (additive) landscapes wide, promiscuous mating is best (spread the one good direction fastest),
but as the landscape gets rugged the best breadth **shrinks to an intermediate value** — full promiscuity
prematurely converges onto one basin and finds a *worse* champion, while pure monogamy over-fragments.
Throughout, wide mating lifts the *typical* model but monotonically **destroys diversity** — so on rugged
problems, where the best model needs preserved diversity to be found, structured (partly monogamous)
merging wins. The design rule extends the one above: *merge widely when skills are additive; keep
structured sub-populations — island-style merging — when skills are rugged.* (Figure: `results/E14/E14.png`.)
*AI can do sex better than biology can.* Biology is stuck with two parents, mating roughly at random,
and cannot inspect an offspring before it is born. An AI has none of those limits. It can recombine
**many** parents at once; it can **choose** which parents to combine, for complementarity; and it can
**generate many candidate offspring and keep only the fittest**, screening them against reality before
committing. We call this **directed sex**, and in our simulations it converts the outbreeding-depression
catastrophe into a reliable gain: where blind recombination collapses on entangled problems, directed
recombination matches or beats the best parent every time. The language-model prototype shows the same
sign where it can: breeding many recombined Qwen offspring and keeping the one the verifier scores
highest beats the single averaged soup on hard tasks (and, unsurprisingly, does nothing extra on easy
tasks the soup already solves). This is a genuine advantage of engineered reproduction over the
biological kind, and we think it is one of the more useful ideas in the paper.
So the picture of §5 is: single-teacher copying is asexual and collapses (Muller's ratchet = model
collapse); the cure is to *ground* every birth in reality and to reproduce *sexually*, recombining
many complementary parents; and because AI sex can be many-parent, mate-chosen, and offspring-screened,
it is not merely a hedge against collapse but an engine that produces children fitter than any parent.
### The limit of sex: model speciation
Sex has a limit, and it is the sharpest new prediction this frame makes. Recombination works because
the parents are variations on a shared background; push two lineages far enough apart and their
combination is no longer viable. In biology this is **speciation** — the onset of **reproductive
isolation** — and its genetic mechanism is the **BatesonDobzhanskyMuller incompatibility** (BDMI):
an allele that arose in one lineage and an allele that arose in the other are each harmless on their
own background, but their *combination*, never tested by selection in either parent, is deleterious in
the hybrid (Dobzhansky, 1937; Muller, 1942; Orr, 1995). A merged model is precisely such a hybrid — a
single *recombinant* genotype, an F2-like object exposed to **recombination load**, not a hybrid-vigour
F1 — so the theory predicts a specific trajectory as two models diverge: **compatible → outbreeding
depression → hybrid inviability**.
We built this as an explicit model (a companion result). Two lineages descend from a common ancestor,
each substituting a *disjoint* set of loci — so each parent is adapted and neither carries an
incompatibility — and a fraction of the cross-lineage locus pairs are BDMIs that fire only when a hybrid
inherits *both* derived alleles. Sweeping the divergence between the parents reproduces the predicted
curve exactly: hybrid fitness tracks the parents while they are compatible, then peels off, peaks, and
crashes below the ancestor (an inviable hybrid). Three things fall out, and they are the contribution:
1. **The isolation cliff, and what moves it.** The divergence at which merging fails is not fixed: it
arrives *earlier the more epistatic the capability landscape*. In the model the reproductive-isolation
rate at high divergence rises from ~0 to ~0.5 as the density of incompatibilities grows. This is the
paper's distinct, falsifiable claim — **at matched divergence, mergeability is governed by epistasis,
not by divergence alone** — and it is exactly the axis that the machine-learning predictors of merge
success (which are all divergence/geometry measures) do not have.
2. **The snowball.** The number of incompatibilities grows with the *square* of the divergence
(Orr & Turelli, 2001), so hybrid fitness falls *super-linearly*: divergence is punished faster than
it accrues. Merge compatibility does not decay gently; it falls off a cliff.
3. **The design rule.** *Before merging, weigh divergence against the ruggedness of the shared
capability landscape; past the cliff, do not merge — route* (the engineering echo of allopatry:
keep the specialists reproductively separate and select among them instead of hybridising).
This is where a geneticist's lens earns its keep. The machine-learning literature has *observed* that
increasing specialisation eventually breaks merging and that one should then route rather than fuse
(Pari et al., 2024; Zhou et al., 2026), and part of the apparent incompatibility between independently
trained models is a coordinate artefact removable by aligning neurons (Git Re-Basin — Ainsworth et al.,
2022). What the frame adds is the *theory* of the phenomenon they observe: its functional form, its
super-linear (snowball) onset, and its dependence on epistasis — merge failure as a DobzhanskyMuller
event. (Figure: `results/E12/E12.png`.)
**The real-weight confirmation.** The obvious objection to the analytic model is that its
"incompatibility" is a re-labelled loss barrier, and loss barriers between independently trained
networks are famously a *coordinate* artefact — two nets that learned the same function in a permuted
basis look incompatible until their neurons are aligned (Git Re-Basin). We therefore ran the experiment
that the objection demands, in real trained weights. Two small MLPs are forked from a shared MNIST base,
trained, weight-averaged, and their linear-mode-connectivity error barrier is measured *before and
after* in-house Git Re-Basin permutation alignment; the after-alignment **residual** is the part of the
incompatibility that alignment provably cannot explain away. The decomposition is clean (Figure:
`results/speciation_real/speciation_real.png`): two nets trained *from different random initialisations
on the same task* have a real naive barrier that alignment **removes ~98 % of** (residual ≈ 0.001) —
same species, different basis, exactly the canonical Re-Basin result, which also proves our aligner
works. Two nets that learned *conflicting* label maps have a large barrier that alignment **removes none
of** (residual ≈ 0.50) — genuine reproductive isolation, not a coordinate artefact, and it cannot be
dismissed as a failure to align because the very same aligner erased the same-task barrier. Sweeping the
fraction of conflicting classes traces the **isolation cliff in real weights**: the residual (after
alignment) barrier climbs monotonically from 0 to ~0.49 with task conflict — the real-weight image of
E12's analytic cliff, and the direct answer to "isn't this just a permutation artefact?" It is not: the
part that survives alignment is real speciation, and it rises with the functional conflict between the
lineages exactly as the DobzhanskyMuller frame predicts.
One question remains, and the rest of the paper is largely about it: recombination combines what the
parents kept — but *who decides what each parent keeps, and which offspring are worth keeping?*
## 6. The second inheritance: letting "what is worth keeping" evolve
There are two answers, and the first is wrong. We could try to *design* the rule for what knowledge to
keep and pass on. But nobody knows that rule. "Keep the general, drop the particular" is a slogan, not
an algorithm: ask *which* generalisations, in *which* domain, at *which* grain, and the hand-written
rule falls apart. This is the deepest hole in the scheme, and it cannot be filled by decree.
The second answer is the one nature used: **do not design the selector — evolve it.** Let different
models carry different *policies* for what is worth keeping and combining. Let the policies that
produce more capable offspring spread; let the policies that produce weak offspring die out with their
lineages. The lineage's *taste* — its sense of what matters — is discovered by selection, not imposed.
So **two things are inherited, on two channels.** The *content* passes down directly: an offspring
receives its parents' knowledge (this is the "Lamarckian" channel — the inheritance of things acquired
during a lifetime, which biology forbids for genes but culture allows for ideas). The *selection
policy* — what to keep, whom to breed with, which offspring to screen for — is itself inherited, varies
between models, and survives in proportion to the success it produces. That second channel is
**Darwinian**. The architecture is therefore both at once: Lamarckian in *what* it transmits, Darwinian
in *what it keeps*. Evolutionary theorists call this structure *dual inheritance* and identify it as
the engine of human culture (Boyd & Richerson, 1985); philosophers of science describe scientific
knowledge itself as growing this way, by conjecture and **refutation** (Popper, 1959; Campbell, 1974;
Hull, 1988).
The closure that makes this fit together, rather than merely sound nice: Darwinian selection needs a
*selection pressure* — something that decides which policies win. That pressure is already in the
design. What tells a lineage its taste was good? The success of its offspring **against reality**. The
reality-check that stops collapse (grounding, §5) and the fitness signal that drives the evolving taste
turn out to be the *same thing*, seen from two sides.
## 7. The central danger: fitness is not truth
Introducing selection introduces selection's classic hazard, and it is severe enough to sink the whole
scheme if ignored. Evolution optimises, without mercy or foresight, for exactly what you *measure*
never for what you *meant*. (Economists and ML engineers know this as **Goodhart's law** and
*specification gaming*.) Get the fitness measure slightly wrong and the lineage will exploit the gap
with more ingenuity than any designed rule.
For a *knowledge* lineage there is a specific and nasty version. For ideas, the natural measure of
"fitness" is **how well they spread**, and a false-but-persuasive idea spreads beautifully. Human
intellectual culture is full of highly transmissible falsehoods; confident nonsense out-competes hedged
accuracy in almost every human forum. Turn Darwinian selection loose on models without care and it will
breed a lineage optimised for *persuasiveness* — fluent, compelling, and wrong. That is model collapse
with an optimiser behind it, actively seeking the cliff.
Only one thing makes fitness track truth rather than appeal: **being judged against a reality that can
say no.** Fitness must be predictive success under *intervention* — did the model's knowledge correctly
anticipate what the world would do when acted upon — and not approval, fluency, or a benchmark score,
each of which can be gamed. This is why the reality-check is load-bearing twice over: it is both the
anchor that stops passive collapse *and* the only thing that keeps the evolving taste honest.
The second danger is **convergence**, and beating it takes work at two separate levels, because
selection can only preserve variety that already exists — the variety must first be *supplied* and then
*kept*.
- **Supply.** A lineage that learns only from an accredited elite has a monoculture for a source: the
"best" experts are, almost by definition, the ones who won the consensus, so the incoming variation
is narrow from the start. The society must therefore learn, deliberately and from the beginning, from
the **outliers and the heterodox** as well as the credentialed — not out of fairness, but because in
evolutionary terms diverse founders are the raw material without which nothing downstream can adapt.
- **Preserve.** Even given varied input, plain fitness-*maximising* selection converges — it drives
every lineage toward the single current best and fixes it, extinguishing the rare specialists. The
fix is well established: **quality-diversity** selection, which rewards being *good* and being
*different* at once (novelty search and MAP-Elites — Lehman & Stanley, 2011; Mouret & Clune, 2015),
keeping complementary specialists alive rather than collapsing onto the champion. In our simulations
this is decisive: greedy "keep-the-best" selection collapses a population's diversity almost at once
and gets stuck at a mediocre answer, while quality-diversity selection keeps the specialists that
sexual recombination then needs as parents.
The two levels meet at reproduction. Multi-parent recombination (§5) is the *vehicle* by which the
diversity this selection preserves actually enters the next generation: an offspring drawn from
complementary parents inherits the standing variation the selector kept alive, recombined into one new
model. Supply the variety from the human side; preserve it on the selection side; recombine it into
each generation on the reproduction side. Remove any of the three and the lineage converges on its own
first guess.
## 8. A society needs institutions, not just specialists
One requirement is easy to overlook and fatal to omit. The easy part of a society is specialisation.
The *hard* part — which human civilisation took millennia to build — is the set of **institutions that
let fallible specialists combine without each re-verifying everything**: reputation, replication,
credentials, and above all **peer review**. These are error-correction protocols, and they exist
because a group of unreliable specialists left to reinforce one another is *more* wrong than any member
alone.
This is precisely where current multi-agent AI fails: set several models to confer and they tend to
agree sycophantically and confabulate in committee, because they have all the specialisation and none
of the institutions. A multigenerational society must specify not only how models learn, reproduce, and
are selected, but how they *check* one another — how a claim is challenged and a mistaken model loses
standing *before* its error is recombined into offspring and inherited. Peer review is itself a
reality-check of the kind §7 demands — an institutional stand-in for reality's "no," to be used where
direct intervention is slow or costly.
## 9. The lineage must stay open to reality
A society of models, however many generations deep, shares one hard limit: it has only ever *read*.
Its whole inheritance is a record of things that were said. In the vocabulary of causal reasoning
(Pearl, 2009), it lives on the bottom rung of the **ladder of causation** — observation — and no amount
of observation reaches *intervention*. Watching underdetermines doing; correlation does not contain
causation, at any scale.
Only intervention — reaching out and changing the world to see what happens — climbs the ladder, and a
language model cannot intervene. This is what humans and their instruments supply, and the contribution
is not "truth" but **constraint**: reality's unique gift is that it can say **no**. Text offers only
more opinion; an experiment delivers a refusal no consensus can overturn. As §§67 argued, that refusal
does double duty — it is both the anchor that prevents collapse and the fitness signal that lets the
lineage's evolving taste select for truth rather than persuasion.
Two honest riders. First, the human reality-signal is *dirty*: people supply results warped by
publication bias, incentive, and occasional fraud — which is exactly why the error-correcting
institutions of §8 must sit at the humanmachine boundary, screening the signal before it selects.
Second, humans are the *current* supplier of intervention, but the actuator half is being automated
(autonomous laboratories already close the designbuildtest loop). What looks durable in the human
role is therefore not the hands but the **choice of what to test and which refusals matter** — the
part of the fitness function that encodes *what is worth persisting*, as opposed to what merely *can*
persist. We flag, without resolving, that a partnership stays mutual only while both sides supply
something the other cannot.
## 10. Why it is cheap
A practical fact turns this from thought experiment into buildable proposal: **the architecture almost
never re-pays for the one genuinely expensive thing in AI — pre-training.** (The single exception,
periodically re-minting the base, is §11, and it is rare enough to be an amortised footnote.)
Training a foundation model from scratch consumes trillions of words and a fortune in compute. This
design does none of that per generation. Every model is *born* from an existing open-weight model that
already paid that cost; specialising one is a small patch trained in hours on a single consumer GPU;
running the society is ordinary inference; and reproducing — recombining parents into a child — is, in
the model-merging case, cheaper still, because it can be done directly on the weights with no retraining
at all (Akiba et al., 2024). Selection does cost more — you must run *populations* and discard the
unfit — but that is a multiplier over an already-cheap unit, not over a foundation-model budget.
The economics work only with **open-weight** models, for reasons practical and legal at once: you must
be free to inspect, modify, and redistribute the weights, and most proprietary licences forbid using a
model's outputs to train another — which is exactly what reproduction here does. This is not ideology
bolted on; it is a structural constraint, and a democratising one, since it puts the whole architecture
within reach of a single laboratory.
## 11. Can it grow forever? Consolidating knowledge back into the base
One question the design has assumed away: can the lineage accumulate *without end*? The individual is
bounded, and that is the clock. But the lineage seemed unbounded — each generation simply starts a
little ahead. Look closer and a second budget also fills.
Every new model is a pristine base plus an inherited **soft** delta — the acquired knowledge carried in
added patches rather than baked into the frozen core (§3). That soft delta is what makes the lineage
multigenerational; it is also what cannot grow forever cheaply. Stacked patches are not free: they slow
inference, and past some depth the accumulated delta is better *consolidated* than carried. The lineage,
too, matures.
The fix is the same operation, one level up. When a lineage's acquired knowledge has proven stable
across enough generations, **re-mint the base**: distil the accumulated soft inheritance into the
*weights* of a fresh foundation-scale model — a new base born already *natively knowing* what took many
generations to acquire in patches. The soft budget resets; the next epoch begins from a richer floor.
What was hard-won and *learned* becomes cheap and *innate*.
This has a precise name, and it is not Lamarck's. Knowledge that is acquired and re-learned every
generation, and — once reliably present for long enough — becomes part of the innate endowment so that
it need no longer be re-learned, is the **Baldwin effect** (Baldwin, 1896; and its clean computational
demonstration, Hinton & Nowlan, 1987). It is the valve between the two substrates: the soft, learned
patches, and the hard base weights every model is born with.
Three honest riders, because re-minting is the most consequential step in the scheme:
- **Cost.** This is the one step that re-pays part of the pre-training bill, breaking §10's cheapness
*locally*. It is bearable only because it is *rare*, amortised over many cheap generations, and is
continued training from the lineage's own rich outputs rather than a de-novo run.
- **Irreversibility.** Until now, one thing was always recoverable — the original pristine base, whose
lost tails could be restored just by reloading the file. Bake the current lineage into new immutable
weights and that escape hatch closes: if the lineage had been quietly collapsing, re-minting *fixes
the collapse in place* and discards the one uncollapsed reference that could have diagnosed it. In our
minimal models this is exactly what happens, and a cheap safeguard prevents it: **re-mint only while
the lineage is demonstrably diverse and healthy**, never as a rescue for a line already drifting. It
is the sharpest instance of the human seat of §9 — choosing what no future generation will think to
question.
- **Speciation.** A re-minting is a founder event. Different laboratories, re-basing on different
criteria, will mint divergent bases; the lineage branches. This is not a defect but *adaptive
radiation*, and it is exactly what open weights make possible. The society grows not as one heavy
trunk but as a branching tree of bases.
So the answer to "can it grow forever?" is **yes — but only because it forgets and consolidates at
every level, including the base.** Nothing is retained without bound anywhere; unbounded growth of
*capability* is bought by *bounded* storage plus periodic consolidation.
## 12. One process, four timescales
Step back and the parts resolve into a single idea running at four nested speeds. The **vertical**
motion is transmission — the selective passing-down of hard-won knowledge:
1. **Within one model, over a working life:** experience is consolidated from fast, episodic memory
into slow, durable weights, without catastrophic loss.
2. **Between generations, at maturity:** mature models reproduce — recombined into a fresh one.
3. **Across many generations:** each generation inherits the compressed achievements of the last and
builds on them.
4. **Across epochs:** a proven lineage's accumulated soft inheritance is consolidated into the weights
of a re-minted base, becoming innate.
The first and last are the *same operation at opposite ends of the scale* — a fast/soft store
consolidating into a slow/hard one — one running overnight inside a single model, the other across an
epoch inside a whole society. The **horizontal** motion is selection — Darwinian selection acting across
the population at each timescale, on the policies that govern what gets transmitted, with reality as the
fitness function and diversity-preservation keeping the specialists alive.
The same three rules govern all of it: **reproduce by recombining, not by copying, or you decay;
preserve the disagreements and the surprises, or you converge; and anchor fitness to a reality that can
refute, or you evolve toward what is merely convincing.**
## 13. What we built, what we found, and what is still open
The previous drafts of this paper promised a "companion paper" that *would* make this concrete. That
work now exists — mostly as a set of **minimal, laptop-reproducible models**, with a first bridge to
**real language models** (a LoRA-merge prototype, up to 7B on a GPU cluster) — and it is worth stating
plainly what it does and does not show. (A separate results document gives the numbers; here is the
shape.)
**What we built and found.**
- *An exact account of collapse.* Because generational training is the WrightFisher drift process, we
can check a simulator against century-old closed-form formulas, and it matches them to a fraction of
a percent. Collapse is not argued by analogy; it is derived.
- *The cheap-grounding result, and its limit.* A few percent of verified real data holds on to most of
a lineage's diversity indefinitely — but not the deepest tail, which needs recombination. This is
what makes a continually-learning society economically plausible rather than a data-hungry fantasy.
- *"Merge, don't average."* Combining several teachers by *averaging* their outputs — the obvious thing,
and what a "model soup" does — mathematically cancels the benefit of having several teachers. A
*merge* that keeps each item's strongest source realises it. Most current multi-model setups get this
wrong by default.
- *Collapse and its cure in real trained networks, and on real images.* We reproduced the same effects
in small recurrent and feed-forward networks and in a generator of handwritten digits (MNIST), where
a model trained on its own output collapses to a single blurred digit while a little grounding keeps
all the styles alive. An honest wrinkle we had to report: real neural networks *smooth*, so the naive
diversity metric misleads, and the right measure is distance-from-truth.
- *Sex that beats the parents, and when it doesn't.* In evolutionary simulations, recombining
complementary specialist models produces a model fitter than any parent (the FisherMuller effect),
climbing toward the best-possible combination as more, more-diverse parents are added — while
averaging and best-single-parent plateau below. On *entangled* problems, blind recombination instead
produces below-parent offspring (outbreeding depression) — and *directed* recombination (choose mates,
screen offspring, unbounded parents) reliably fixes it. This is the concrete evidence for the paper's
central reframing.
- *The mating system, not just the mating.* Sweeping how *widely* models recombine — from monogamous
(local, structured) to promiscuous (panmictic) — against landscape ruggedness, the best breadth
**shrinks as skills get more entangled**: wide, promiscuous merging wins on additive landscapes, but on
rugged ones it prematurely converges to a worse champion and an intermediate, structured breadth wins,
because promiscuity monotonically destroys the diversity a rugged search needs. A merging-native design
axis — *merge widely for additive skills, keep island-structured sub-populations for entangled ones*
that the model-merging literature, which assumes panmixia, does not have.
- *The recombination claims, in real language models — with a sharp condition.* Merging LoRA-specialised
Qwen models (up to 7B on a GPU cluster) produces a generalist that beats every specialist parent
(FisherMuller, for real); and keeping parents intact and *routing*, or *breeding and screening*
offspring, beats the naive average — but *only when the task leaves headroom*. On easy tasks a strong
model's plain average is already at the ceiling and the refinements add nothing; on hard tasks the
average dilutes a specialist below even the best single parent, and the union-preserving operators win
clearly. The practical rule is exact: these tricks pay off in proportion to how far the naive average
is from the best attainable. This is a prototype (three task families, one seed), so we read it as
signs, not magnitudes; the *whole grounded society* on a language model remains the open step.
- *The whole society, and why every part is needed.* In a population evolving on a "reality" landscape,
the full system — grounding + sexual recombination + preserved diversity — climbs to the top while
keeping its specialists. Remove *grounding* and it collapses into a confident, wrong consensus (a
direct analogue of training on the internet's growing crowd of AI-generated text); remove *sex* and it
gets stuck; remove *diversity* and it converges too fast to a worse answer. Each removal fails
differently; only the whole system climbs. This is the closest thing we have to a test of the actual
thesis, rather than of the borrowed scaffolding around it.
**What is borrowed, and what is ours.** We are deliberate about the ledger, because the surrounding
literature is crowded and a reader deserves to know exactly where the line falls. **Conceded as prior
art:** (a) *model collapse is genetic drift* — derived independently and cleanly (Riis, 2026; and the
WrightFisher collapse literature following Shumailov et al., 2024); (b) the empirical facts that a
merged model can *beat its parents*, that *decorrelated* parents merge better, and that *naive averaging
is inferior* to sign-reconciled or routed merges (model soups, TIES, DARE, mixture-of-experts routing);
(c) that a *population* of merging or self-improving models can climb (GENOME, M2N2, Multiagent
Finetuning, the DarwinGödel Machine); and (d) that even the *magnitude* of multi-task merge degradation
has a machine-learning-native predictive account (recent stability/scaling analyses). We claim none of
these.
**Ours** is the theory those results have outrun: a **population-genetics of sex** applied to model
societies, which is *generative* where the incumbents are empirical. Concretely — the **"merge, don't
average" conservation law** (recombination preserves the union; blending inheritance cancels it),
derived not observed; **FisherMuller** named and used to explain *why* offspring exceed parents;
**outbreeding depression on rugged/epistatic landscapes**, which turns "when does merging help vs hurt"
from a thing you must run a search to discover into a thing the landscape's ruggedness *predicts*, with
the operator-choice design rule that follows (average / union-route / directed-select); **grounding as
migrationdrift balance**, giving a critical real-data fraction and a phase boundary a closed
self-consuming loop cannot have; **directed sex** as the distinctly-AI advantage (unbounded parents,
offspring preview, mate choice); and the **integrated society** whose four operators are shown *jointly
necessary*. The value-add over the machine-learning-native merge theory is that ours predicts *which
operator to use and when it will backfire*, not merely how fast quality decays. And it opens — and
begins to occupy — a question nobody has framed: **model speciation**, the population-genetics of
*reproductive isolation* (BatesonDobzhanskyMuller incompatibilities) as the account of *when two
models are too diverged to be merged at all*. We model it explicitly (§5), predicting the
compatible → outbreeding-depression → inviability curve, its super-linear (snowball) onset, and its
control by epistasis rather than divergence alone — the one place the merge literature has phenomena
(Pari et al., 2024; Zhou et al., 2026) but no theory — and we confirm it in real trained weights, where
a merge barrier survives permutation alignment (Git Re-Basin) as a residual, epistasis-driven
reproductive isolation that the coordinate-artefact account cannot explain away. In one sentence: the field agrees on the disease
and tinkers at the cure with evolutionary metaphors; we bring the evolutionary *theory*, and it makes
falsifiable predictions — a merge-compatibility cliff among them — that the metaphors do not.
**What is still open — honestly.** The old hole (what to select) we fill in kind: don't design the
selector, evolve it. But the hole has *moved*, not closed, and the new one is harder: **the fitness
function** — what reality-anchored measure selects for *truth* without also selecting for *persuasion*,
given that in our own species the two have been at war for the whole history of ideas. Alongside it:
the **institutions** that let contemporaries correct one another before error is inherited (§8), which
we do not solve; and the **calibration** of everything the results left as knobs — how many parents,
how complementary, at what ratio of inherited-to-real data, and how healthy a lineage must be before
its knowledge is safe to make irreversibly innate. These are, at least, *measurable* — which is the
difference between an open problem and a hole. And the largest gap of all: the *recombination* claims
now hold in real language models, but the *society* — the grounded, diversity-preserving, continually
reproducing loop — does not yet. The real test is to build that whole system out of actual open-weight
language models, and see whether all the signs survive contact with a system too big to write down.
The operators, checked; the living society, next.
---
## Selected references
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*The evolution of sex (the geneticist's canon this paper draws on):*
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*The 20252026 landscape this paper positions against:*
- Subramaniam, V., Du, Y., Tenenbaum, J. B., Torralba, A., Li, S., & Mordatch, I. (2025). Multiagent finetuning: self-improvement with diverse reasoning chains. *arXiv:2501.05707.*
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- *Nature-inspired population-based evolution of large language models* (GENOME/GENOME+). (2025). *arXiv:2503.01155.*
- Sakana AI (2025). Competition and attraction improve model fusion (M2N2). *arXiv:2508.16204* (GECCO '25).
- Yadav, P., Tam, D., Choshen, L., Raffel, C., & Bansal, M. (2023). TIES-Merging: resolving interference when merging models. *NeurIPS / arXiv:2306.01708.*
- Yu, L., Yu, B., Yu, H., Huang, F., & Li, Y. (2023). Language models are super Mario: absorbing abilities from homologous models (DARE). *arXiv:2311.03099.*
- Gerstgrasser, M., et al. (2024). Is model collapse inevitable? Breaking the curse of recursion by accumulating real and synthetic data. *arXiv:2404.01413.*
- Guo, D., Wu, J., & Yiu, S. M. (2026). Model collapse as cultural evolution. *arXiv:2605.23054.*
*Still to engage in a full version: the machine-learning-native theory of merge degradation with task count; tacit knowledge (Polanyi) and human capital (Becker).*