PolymathML

Everything that works, works like something else.

Our engine decomposes systems into mechanistic code rather than words, then recomposes that code wherever else it belongs. A protein and a power grid can turn out to be the same machine in different contexts.


Approach

Words are a poor index for mechanism.

Retrieval sorts the world by topic and keyword, and these are the wrong sorts for discovery. The correspondences worth finding are between systems that share structural mechanisms and nothing else — not a field, not a vocabulary, not one term in common.

Read semantically

The neighbours of a mitochondrion are other cell-biology terms: chloroplast, cytoplasm, ATP synthase.

You get a better encyclopedia.

Read functionally

The neighbours of a mitochondrion are everything that turns a gradient into stored work. A hydroelectric dam qualifies.

You get a candidate you would not have thought of.


Four machines that work the same way and share no words.

In white, a mechanism coded the way our engines represent them — no nouns from any field. In blue, the same four lines as they occur in a real system. Change the system; the left column doesn’t move.

The mechanismAs it occurs in a geyser
01
Takes in input at a rate it does not control.
02
Holds the whole store back while it builds.
03
Past a threshold, releases everything at once — never a part of it.
04
Empties to nothing and begins again.

None of these four is a discovery; each is well understood on its own. What is uncommon is holding them as a single object — and that shape is what an engine produces for the things nobody has noticed yet.

Find the right axis and the data stops mattering.

1941

A Swiss engineer picked burrs out of his dog's fur, put one under a microscope and found a hook. That is where Velcro came from.

1986

Two stacks of medical papers — one on fish oil, one on a painful circulation disorder called Raynaud's — described the same mechanism but had never cited each other. A librarian named Don Swanson noticed. Fish oil turned out to help, and the prediction held up when doctors ran the trial.

1996

Japan's bullet train emerged from tunnels with a bang loud enough to draw complaints a quarter-mile away. The engineer who fixed it was a birdwatcher. He gave the train the beak of a kingfisher, a bird that enters water without a splash.

Each of those needed one person standing in an improbable place on the right day. There are a few thousand specializations and millions of pairs between them.

No mind can traverse that search space. Our Discovery Engine can.

1869

Mendeleev laid the known elements out by weight and noticed that their properties repeated. That grid is the periodic table on every classroom wall. Three squares sat empty. He described the missing elements before anyone had seen them, and all three were found within twenty years. The table outlived every fact that built it.

Our engines hunt both: the connection nobody has drawn, and the table nobody has arranged.

A demonstration

The engine went looking for a chip, and came back with a heart.

While mapping a semiconductor lithography patent, we flagged a candidate that is a 1993 filing for measuring myocardial impairment. The two documents share not a single term of art, but they do share many working functions.

No keyword search could surface that pair, because there is no keyword to share; no classification system could either, because the two sit in different branches by construction. The engine found it because it encodes what things do.

1993 cardiac assay 2002 lithography control Same machine, no shared words Same field, same words Shared vocabulary → Shared mechanism →

The same reach is why it will catch the filing that matters to you when it arrives wearing another industry's vocabulary.

Sampled document pairs. The upper left is sparse because it is unexplored, not because it is empty.
Read the sample report
Work in progress

Same engine, pointed somewhere new.

Once a field is encoded by function, it can be searched by function, and discovery stops being luck. It becomes a manufacturing process. These are the directions we are furthest along in — a handful of the places the method obviously goes.

Life sciences

Design the pathway before the bench.

Regulatory circuits and protein assemblies read as mechanisms, not sequences. The engine proposes designs whose control logic is already proven somewhere else — often somewhere with no biology in it.

Control theory and queueing discipline → gene regulatory design
Early work
Materials

Properties from geometry, not chemistry.

A lattice that steers sound and a lattice that steers light are the same object in different units. We search structures by the behaviour they produce, physics already identified.

Acoustic bandgaps ↔ photonic and thermal lattices
Live
Electronics & photonics

Topologies with a record elsewhere.

Every circuit is a set of functions: hold, compare, correct, isolate. Read that way, a scheme from another discipline becomes a live candidate for a problem it was never drawn for.

Mechanical damping → analog stability compensation
In development
Software systems

Where a proposal can be run the same day.

Schedulers, caches, consensus and retry logic are mechanisms long before they are code. When the engine returns one borrowed from elsewhere, nothing has to be argued: it gets implemented, benchmarked, and kept or killed by the afternoon.

Freight yard scheduling → task queue policy
Early work
Intellectual property

The entire granted record, compared by function.

Millions of patents decomposed into what they do. Holders get a fingerprint of their invention, its nearest relatives in any industry, and an alert the week anything close publishes.

A 1993 cardiac assay ↔ a 2002 lithography control loop
Live
Energy & infrastructure

Failure cascades don't care what is failing.

A grid shedding load, a clearing house unwinding and an outbreak crossing a threshold share one skeleton. A hardening strategy proven in one network can be tested against another.

Epidemic threshold models → grid cascade containment
Exploratory
Working together

Start with one question.

Not a dataset, not a roadmap — one question worth answering, and the material you already have.

We work with a small number of partners at a time, and the first thing you are likely to learn is which of your problems has already been solved somewhere you were never going to look. Finding it takes no special knowledge of your field — only a refusal to stop at its edge. We think in systems, and systems don’t stop at the edge either.

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Fingerprint reports, corpus pilots and research collaborations are arranged directly.