Islands of Stability Most ways a complex system could be run do not work.
The ones that do occupy small, bounded regions of the settings available, from atomic nuclei and planetary orbits to ecosystems, companies and AI agents. Staying inside a region costs continuous effort, and whatever pays that cost becomes the weak point.
Persistence proves nothing. Only the response to a push shows a system is stable.
The theory is also written up as a paper, Islands of Stability, a draft preprint at bitandbeing.com/research.
The site's logo: two settings of a system, the point where it holds, and rings of depth out to the shore. Proposition 1: most settings do not work. Proposition 2: only a push shows how deep an island is. Proposition 3: for islands of the same depth, age says nothing about the time left.
The theory →The chart of every known nucleus, from the published evaluation: the island the site is named after, and the table's errors, corrected.
The chart of nuclides →The first instrument: where an agent keeps doing its job as it gets more tools and its tools start failing. Snapshot 1, three models, 18,720 runs.
The Map →Rules for a technology whose frontier moves every few months: how long a compute record lasts, against the years the EU's AI Act took to make. Proposition 6's ratio, with real numbers.
Two clocks →The standard model of a lake that can be clear or murky. Push it in your browser. Three tests of propositions 2 and 3, run once, with their verdicts.
The lake →The asteroid belt from 895,910 real orbits: gaps and islands at Jupiter's resonances, and a test of where proposition 3 stops applying, which ran twice: the first run was invalid, and the corrected run was void because its own control failed.
Orbits →Gaia's chart of 228,623 nearby stars: where stars spend their lives, and an island paid for by burning fuel beside one that costs nothing.
Stars →The ice-age flips in Greenland's ice: did the cold spells end at random or on a clock? Two tests on the real record, run once. The cold spells look memoryless, and there was no clock.
Ice-age flips →23,191 marine genera from the Paleobiology Database: Van Valen's law of constant extinction, the mass extinctions, and a re-run of published work, under rules fixed in advance, that kills proposition 3 here.
The fossil record →US Census data on firm deaths by age, and why a falling death rate cannot say whether firms grow safer or the fragile die first.
Firm survival →US business cycles since 1854, the calm before 2008, a currency peg you can run to its end, and the incomes of 141 countries since 1950. A test of expansions in 42 countries, run once. Its verdict is unresolved.
The economy →The US death rate by age, the glucose tolerance test as a push that finds what watching misses, and herd immunity as an island paid for by every birth cohort. A test of the measles runway, country by country, run once. Its verdict is unresolved.
Health →Supercooled water and diamond: states that persist without being stable. Real droplets freezing in a wind tunnel, and a tray of droplets to freeze in your browser, where frailty imitates memory.
Metastable water →This site states that idea precisely enough to be wrong, and runs one experiment that could show it is. It is named for the island of long-lived superheavy nuclei that physics predicted decades before anyone measured its shore. The principle is meant to hold across the sciences. The first instrument measures AI agents only, and its results say nothing on their own about the other domains.
Six propositions, and where each one stands.
The Theory page states each one precisely, names what would kill it, and defines three technical senses of ‘island’. Every use on this site says which sense it means.
Propositions and their falsifiersIf stability is local, ‘it works’ is incomplete information.
Adding a dependency, scaling up, changing the environment, or reorganizing can move a system across a boundary even when each step looks reasonable. The useful questions become where a system works, what keeps it there, and how far it sits from an edge.
One framing proposition sharpens this for the present moment: AI is shortening how long each business regime lasts, while review, compliance and hiring move at the old speed. That is the motivation for the research, not a result of it.
The idea did not start with companies or computers.
Wherever a system can be set many ways, stable behavior tends to hold only in bounded regions, with instability between them, and the regions can shift. A few places where science has mapped them:
Nuclear physics
The name’s origin. Superheavy nuclei are predicted to live far longer inside a small region of proton and neutron numbers, an island beyond the sea of fast decay. The chart of every known nucleus, from the published table.
Astronomy
Trojan asteroids share Jupiter’s orbit around two stable points, and resonances clear the Kirkwood gaps. Measured from 895,910 real orbits. On the same chart, stars that burn to stay stable beside ones that cost nothing.
Chemistry
Diamond is metastable at the surface of the Earth: it persists only because the barrier to becoming graphite is high. Supercooled water does the same, until a speck of ice arrives. Real droplets freezing in a wind tunnel show the wait.
Biology and ecology
A shallow lake can stay clear or turn turbid under the same nutrient load, and switch abruptly when pushed past a threshold. The standard lake model runs in your browser. Push it and watch.
Evolution
Van Valen’s 1973 law says a genus’s age tells you nothing about its chance of dying out: proposition 3, fifty years early. 23,191 fossil genera test it. Published work finds it fails where depth is measured, and a re-run of that work under fixed rules kills it here.
Geology and climate
A slope holds until rain pushes it past a threshold. In the last ice age, Greenland’s climate flipped between two states again and again. Two tests asked whether the cold spells ended at random or on a clock, and found no clock.
Organizations
Companies pass through temporary equilibria. What holds one in place becomes, in time, the thing that fails. Census data show young firms dying far more often than old ones, and why that alone cannot say whether firms grow safer.
Economics
Booms end, currency pegs break, and a few countries cross from poor to rich. US business cycles since 1854, a peg you can run to its end, and a test of expansions in 42 countries, run once.
Health
A life is not memoryless: the death rate by age is a bathtub. A glucose drink finds diabetes that fasting tests miss, and herd immunity is an island paid for by every birth cohort. A test of the measles runway, country by country, ran once, and its verdict is unresolved.
AI governance
Rules for a technology whose frontier moves every few months. How long a compute record lasts, against the years the EU's AI Act took to make: proposition 6's ratio, with real numbers.
AI agents
Maps where an AI agent keeps doing its job as it gets more tools and its tools start failing. Snapshot 1 is in: three local models, 18,720 runs.
See the Map →Each domain needs its own instrument. A result in one says nothing on its own about another. The site keeps the domains apart and names the one each claim is about. Where each proposition stands in each domain →
The Theory
Six propositions, each with its prior owners, its strongest objection, and the observation that would kill it. Two of the six are framing propositions with no test yet, and say so. Versioned. The changelog records survivals as well as revisions.
Read specification v2.0The Map
Sweep an AI agent across two dials, inject faults, and see whether its working region is a band with an edge or a continent with a slope. Snapshot 1, on three local models: a continent with a slope.
See the Map and snapshot 1The Cases
Five draft cases: systems that were called stable and were not, each with the evidence that existed before the failure. Plus four open forecasts with probabilities and named resolvers.
Read the false islandsThe Newsletter
Each issue is one of three things: a new snapshot, a new case, or a resolved forecast. Nothing else.
Subscribe or see the planned issuesPick the door that fits you.
- 26 Sep 2026Deposit · donePre-registration r4 deposited on Zenodo, DOI 10.5281/zenodo.22982434
- 26–27 Sep 2026Measurement · doneNoise floor measured: 18,000 runs, every identical rerun reproduced exactly
- 27–29 Sep 2026Snapshot · doneSnapshot 1 swept and analyzed: 18,720 runs on three local models
- 30 Sep 2026Deposit · doneFour more pre-registrations and snapshot 1's results bundle deposited on Zenodo
- 30 Sep 2026Tests · doneThe lake, orbits, ice-age and expansions tests run once, after their deposits
- 30 Sep 2026Tests · doneThe corrected orbits test (void, its control failed) and the measles test of proposition 4 (unresolved), each deposited and run once. Specification v2.0
- 8 Oct 2026Deposit · doneThe evolution re-run's pre-registration deposited on Zenodo, DOI 10.5281/zenodo.23248063
- 8 Oct 2026Test · doneThe evolution re-run of Finnegan, Payne and Wang (2008), run once: killed. Specification v3.0
- Oct 2026Publication · plannedNewsletter issue 1: snapshot 1 and the four tests
- Dec 2026Case · plannedCase 1 coded, with two controls
- Sep 2027Forecast resolution · plannedResolution day 1
Budget. Snapshot 1 ran on a local workstation GPU, about two GPU days for the sweep and the noise floor, at no API cost. An exploratory trial of five larger models through OpenRouter, outside the snapshot, cost about 2 dollars.
The draft banner at the top of every page stays until all seven hold.
- ✓The noise floor and rerun jitter measured and published.met · measured 26–27 Sep 2026, published 30 Sep 2026 in the results bundle
- ✓The pre-registration deposited with a DOI.met · 10.5281/zenodo.22982434, 26 Sep 2026
- ✓The objection intake live, as GitHub issues, so the version rule has an input.met · 30 Sep 2026: the objection form
- One case fully sourced, and two controls coded blind to outcome by two independent coders, with an agreement statistic published.not met · case 1 due Dec 2026
- ✓The harness repository public, before snapshot 1.met late · public since 30 Sep 2026, after snapshot 1, not before it. The lock deposited before the runs identifies the exact code that ran, and the code on the main branch still matches it
- Two named human reviewers from outside AI have filed objections, accepted or not.not met
- ✓The changelog RSS feed live, and full citations with DOIs for every prior owner.met · 30 Sep 2026: the changelog feed, and 35 works cited in full, 26 with DOIs checked against Crossref
Suggested citation, and every deposit with its DOI: how to cite.
Not a blog, not a score for your company, not a certification, not a tracker that needs weekly updates, and not a promise that islands exist. Snapshot 1 found a continent for all three models it measured, with no upper tool edge between two and six tools, and says so on the Map page.
A new snapshot, a new case, or a resolved forecast. Nothing else.
Robert Encarnação. Twenty-five years in technology, AI transformation programs at the executive level. Essays live at bitandbeing.com and consulting at encarnacao.net. What lives here is the part that can lose.
Objections and corrections are welcome. Accepted ones move the version number and are attributed.