GEM-4C 558 -4%
GPT-61S 555 -3.8%
CL-SN55 553 -3.8%
CL-OP55 551 -4%
GPT-61TERR 547 -3.5%
GEM-4CM 546 -4%
CL-OP55EH 542 -3.9%
GPT-61SOLXH 541 -3.6%
GPT-61SOLH 527 -3.7%
CL-SN55XH 523 -3.5%
GEM-4CL 520 -3.9%
GPT-61TERRXH 507 -3.4%
CL-OP55H 506 -4%
GPT-61SOLM 500 -3.5%
KIMI-K31P 499 -3.5%
GEM-4AR 498 -3.9%
GPT-61TERRH 490 -3.2%
CL-OP55M 483 -3.6%
MUSE-WONDFUL 479 -3.8%
CL-SN55H 467 -3.3%
CL-HK55 463 -2.9%
GPT-61TERRM 462 -3.1%
GPT-6A 451 -4.7%
MUSE-WOND 451 -3.6%
CL-HK55XH 450 -3%
GPT-6ASTRXH 440 -4.8%
GROK-47 440 -3.1%
GROK-47H 438 -2.9%
GPT-6ASTRH 437 -4.8%
DSK-V-340615 436 -2.9%
QWEN-38X 428 -2.9%
GPT-61SOLL 423 -3.2%
GLM-53 420 -3%
MIMO-V26P 420 -2.6%
CL-HK55H 419 -2.8%
LING-31F1019 417 -2.6%
GEM-38F 416 -2.8%
GPT-6ASTRM 415 -4.6%
MMAX-M31F 414 -2.8%
GEM-38FM 412 -2.8%
GPT-61TERRNO 411 -2.8%
GROK-47L 410 -2.8%
DSK-V-3E48BD 410 -2.6%
GPT-6L 407 -2.6%
GLM-53F 407 -2.6%
STEP-5 405 -2.6%
CL-FABL51XH 403 -4.7%
GPT-61TERRL 403 -2.9%
MIMO-V26F 401 -2.4%
CL-FABL51 399 -4.5%
CL-SN55M 395 -2.9%
CL-OP55L 393 -3.4%
MIST-LARG4 390 -2.7%
CL-FABL51H 386 -4.5%
CL-HK55M 386 -2.3%
GPT-6LUNAXH 377 -2.6%
MUSE-SPAROPE 375 -2.6%
MIST-LARG4M 371 -2.4%
DSK-V4P 365 -2.4%
GPT-6LUNAH 365 -2.1%
GLM-53L 364 -2.4%
CL-SN55L 362 -2.7%
GEM-38FL 361 -2.4%
GPT-6ASTRL 359 -4.5%
CL-FABL51M 359 -4.5%
QWEN-827B 349 -2.2%
CL-HK55L 347 -2%
MMAX-M3 345 -2%
GPT-6LUNAM 344 -2.3%
DSK-V-02811D 344 -2%
K2-HORI375BA 342 -2%
REFL-BEAM 338 -2%
QWEN-827BM 332 -1.8%
CL-FABL51L 329 -4.4%
QWEN-827BL 320 -1.8%
NEMO-35SUPEV 313 -1.9%
INKL 295 -1.7%
NVID-NEMO3UL 295 -1.3%
GEM-35FLITE 295 -1.3%
GPT-6LUNAL 287 -1.4%
GPT-6LUNANON 286 -1%
NANB-333B 285 -2.7%
QWEN-827BNON 282 -1.4%
COMM-APLUS 266 -1.1%
MUSE-GLIM 263 -1.1%
NEMO-35LIGH 261 -0.8%
GRAN-428B 258 -0.8%
MIST-SMAL4 252 -0.4%
INKL-SM 235 -2.5%
GEMM-431B 225 —
GEMM-4E4B 225 —
GEMM-4E4BNON 225 —
LING-30TINY 225 —
MINI-33B 225 —
NORT-MCODE 225 —
NOVA-MICR 225 —
NVID--ADE3B4 225 —
QWEN-54B 225 —
QWEN-54BNONR 225 —
TINY-AYAGLOB 225 —
GEM-4C 558 -4%
GPT-61S 555 -3.8%
CL-SN55 553 -3.8%
CL-OP55 551 -4%
GPT-61TERR 547 -3.5%
GEM-4CM 546 -4%
CL-OP55EH 542 -3.9%
GPT-61SOLXH 541 -3.6%
GPT-61SOLH 527 -3.7%
CL-SN55XH 523 -3.5%
GEM-4CL 520 -3.9%
GPT-61TERRXH 507 -3.4%
CL-OP55H 506 -4%
GPT-61SOLM 500 -3.5%
KIMI-K31P 499 -3.5%
GEM-4AR 498 -3.9%
GPT-61TERRH 490 -3.2%
CL-OP55M 483 -3.6%
MUSE-WONDFUL 479 -3.8%
CL-SN55H 467 -3.3%
CL-HK55 463 -2.9%
GPT-61TERRM 462 -3.1%
GPT-6A 451 -4.7%
MUSE-WOND 451 -3.6%
CL-HK55XH 450 -3%
GPT-6ASTRXH 440 -4.8%
GROK-47 440 -3.1%
GROK-47H 438 -2.9%
GPT-6ASTRH 437 -4.8%
DSK-V-340615 436 -2.9%
QWEN-38X 428 -2.9%
GPT-61SOLL 423 -3.2%
GLM-53 420 -3%
MIMO-V26P 420 -2.6%
CL-HK55H 419 -2.8%
LING-31F1019 417 -2.6%
GEM-38F 416 -2.8%
GPT-6ASTRM 415 -4.6%
MMAX-M31F 414 -2.8%
GEM-38FM 412 -2.8%
GPT-61TERRNO 411 -2.8%
GROK-47L 410 -2.8%
DSK-V-3E48BD 410 -2.6%
GPT-6L 407 -2.6%
GLM-53F 407 -2.6%
STEP-5 405 -2.6%
CL-FABL51XH 403 -4.7%
GPT-61TERRL 403 -2.9%
MIMO-V26F 401 -2.4%
CL-FABL51 399 -4.5%
CL-SN55M 395 -2.9%
CL-OP55L 393 -3.4%
MIST-LARG4 390 -2.7%
CL-FABL51H 386 -4.5%
CL-HK55M 386 -2.3%
GPT-6LUNAXH 377 -2.6%
MUSE-SPAROPE 375 -2.6%
MIST-LARG4M 371 -2.4%
DSK-V4P 365 -2.4%
GPT-6LUNAH 365 -2.1%
GLM-53L 364 -2.4%
CL-SN55L 362 -2.7%
GEM-38FL 361 -2.4%
GPT-6ASTRL 359 -4.5%
CL-FABL51M 359 -4.5%
QWEN-827B 349 -2.2%
CL-HK55L 347 -2%
MMAX-M3 345 -2%
GPT-6LUNAM 344 -2.3%
DSK-V-02811D 344 -2%
K2-HORI375BA 342 -2%
REFL-BEAM 338 -2%
QWEN-827BM 332 -1.8%
CL-FABL51L 329 -4.4%
QWEN-827BL 320 -1.8%
NEMO-35SUPEV 313 -1.9%
INKL 295 -1.7%
NVID-NEMO3UL 295 -1.3%
GEM-35FLITE 295 -1.3%
GPT-6LUNAL 287 -1.4%
GPT-6LUNANON 286 -1%
NANB-333B 285 -2.7%
QWEN-827BNON 282 -1.4%
COMM-APLUS 266 -1.1%
MUSE-GLIM 263 -1.1%
NEMO-35LIGH 261 -0.8%
GRAN-428B 258 -0.8%
MIST-SMAL4 252 -0.4%
INKL-SM 235 -2.5%
GEMM-431B 225 —
GEMM-4E4B 225 —
GEMM-4E4BNON 225 —
LING-30TINY 225 —
MINI-33B 225 —
NORT-MCODE 225 —
NOVA-MICR 225 —
NVID--ADE3B4 225 —
QWEN-54B 225 —
QWEN-54BNONR 225 —
TINY-AYAGLOB 225 —

Delayed ticker data. Last calculated 5 Nov 2026, 11:04 pm Sydney time.

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Harvard-Santa Fe Paper Models LLM Adoption as a Cognitive Epidemic — Tipping Points and Lock-In After a Critical Threshold

A preprint posted September 3 by Luis F. Seoane and collaborators at Harvard and the Santa Fe Institute applies epidemiological modeling to a question most AI research avoids entirely: what happens to populations, not individuals, as LLM use becomes normalized?

The paper — “Large-Language Models as a Cognitive Virus” (arXiv:2609.03344) — is not a polemic. It is a formal model, grounded in the physics of complex adaptive systems and population dynamics, with three figures and twelve pages. The viral framing is structural, not rhetorical.

Three States, One Transition

The model tracks populations across three states: uncoupled (no regular LLM use), coupled (regular use but cognitively recoverable), and persistently dependent (use is embedded in cognitive and cultural practice — reversibility is structurally compromised).

The dynamics that govern transitions between those states produce the paper’s central finding: the system is not linear. There is a critical adoption threshold. Below it, social transmission drives gradual growth in coupled use that remains reversible. Above it, positive feedback — more users normalizing LLM assistance, which lowers the social cost of dependence, which recruits more users — produces runaway dynamics. The population tips rapidly into persistent dependence with what the authors call “abrupt losses in cognitive competence.”

The mechanism is not individual degradation. It is collective: the social infrastructure that previously reinforced unassisted cognition (peers who do not use LLMs, institutional expectations calibrated to unassisted work, skills markets that reward independent capability) collapses faster than individuals can compensate. The viral analogy is technically apt because the core transmission dynamic — LLM use spreads socially through demonstration, imitation, and institutional adoption — is isomorphic to disease propagation models.

Tipping Points Are Not Hypothetical

The model’s relevance is partly in how close some institutional domains may already be to the threshold. The paper does not specify an empirical adoption rate that maps to the tipping point — that number would require domain-specific calibration. But several indicators are in range.

GitHub Copilot now reports that a majority of code in enterprise repositories on its platform is AI-assisted. Academic institutions are revising expectations about unassisted writing at a pace that effectively moves the social baseline. Several professional service firms have restructured entry-level hiring to assume AI augmentation is the floor, not a supplement.

None of that proves the model’s threshold has been crossed. It establishes that the model’s inputs are live, not theoretical.

Cognitive Immunization

The paper’s second contribution is identifying conditions under which tipping can be avoided or reversed. The authors call this cognitive immunization — by analogy with herd immunity in disease dynamics. The mechanism is the inverse of the tipping point: if transmission can be reduced (social norms, institutional constraints) and reversibility can be maintained (preserving contexts in which unassisted cognition is practiced and valued), the runaway feedback loop fails to close.

The policy implications are specific enough to be actionable. Cognitive immunization does not require prohibition of LLM use — it requires preserving meaningful demand for unassisted cognitive production in at least a subset of high-stakes, high-visibility contexts. If professional and educational institutions allow complete substitution in all domains simultaneously, recovery is structurally impeded even if individual users retain the motivation to decouple.

What the Model Does Not Claim

The paper does not establish an empirical tipping point value. It does not measure actual cognitive competence degradation. It does not assert that lock-in has occurred in any specific population. What it does is provide a formal framework — one borrowed from a field with substantial predictive track record — that makes specific, falsifiable predictions about the structure of adoption dynamics.

The core prediction: LLM adoption curves should not be expected to be smooth or reversible. If the model is correct, there will be domains and cohorts that cross a threshold and exhibit qualitatively different dynamics from those below it. That is a testable claim with meaningful implications for how institutions manage AI tool introduction, and how the labs think about the long-run social effects of high adoption.

The paper is available in full at arXiv:2609.03344.