§dynaxity.world
Twenty years from book to working platform

Where complexity
becomes dynaxity.

Twenty years of one architect's work on how organisations behave when nothing stays still. Today it's a working platform — the foundation underneath leadership development, formation work, and the software that supports both.

Patrick Hamilton Springer · 2006 drhamilton · sw-arc · ELI
begin the descent
I · The Work
I

The Work.

IAbout
Twenty years on complexity, on leadership development, and on how to build organisations that can actually keep up with both.

dynaxity.world is where Patrick Hamilton's twenty years of work come together — the research, the writing, and the platforms built from it. It began in 2006 with a book published by Springer, called Dynaxity, which gave a name to what most organisations were already living through: situations changing faster than the rules built to handle them. The work continued through two decades drawing on brain science, leadership development, and software architecture. Today it is something organisations can actually use.

Four things grow from this work. drhamilton is the architect's own practice — the consulting and design work itself. sw-arc is the technical foundation underneath everything else, the part that makes the platforms possible. ELI — the European Leadership Institute — is the first organisation using the formation platform in real life. u-rise is the public face of the writing and ideas. They aren't separate companies. They're four windows onto the same body of work.

What makes this different from most software work isn't any single product. It's a belief — that the most durable thing you can build isn't a tool. It's something closer to a body. Something that learns its environment by living in it, rather than being told all the rules in advance.

BeliefThe most durable thing to build isn't a tool — it's a body.
II · Convergence
II

Convergence.

IITwo lineages
Two lines of thought, developed separately over four decades by different thinkers in different places, end up pointing at the same way to build.

Complexity Tradition

1962Douglas EngelbartAugmenting Human Intellect
1979Alfred N. WhiteheadProcess and Reality
1999Dave SnowdenCynefin · making sense of complexity
2003Karl J. FristonHow the brain predicts
2026

Formation Tradition

2006Patrick HamiltonDynaxity · Springer
2011Brain ResearchMemory, attention, decision-making
2018NAVIGATEA method for personal growth
2024Formation PlatformDynactic · ELI
III · The Operating Ontology
III

The Operating Ontology.

IIIThe foundation
Five basic kinds of things. Connections that remember what happened. A simple tag on every connection saying what kind of situation it belongs to. A foundation that knows what it's looking at before it tries to act.

Most software has a data model — a list of the things it knows about, and the ways those things connect. That is necessary. It is also not enough.

Our operating ontology adds two ideas that change what the platform can do. First, every connection between things carries a tag answering one question — what kind of situation is this? Routine and predictable? Complicated but knowable? Complex and shifting? Or chaotic? With that tag in place, the platform can tell the difference between a standard administrative step and a delicate coaching moment, and respond accordingly. Second, every connection is a record of something that happened — between specific people, at a specific time. Not a static fact. The platform doesn't describe the world; it keeps the ongoing record of what the world has done.

Five basic categories are enough to cover everything we need to track: people, things, projects, products, documents. Anything you would want the platform to know about fits somewhere in these five. The interesting part isn't the categories — it's the connections between them.

HUMAN MATERIAL PROJECT PRODUCT DOCS i ii iii iv v
SimpleComplicatedComplexChaotic
i
Human
people in the system
ii
Material
things and resources
iii
Project
ongoing efforts
iv
Product
platforms and tools
v
Documentation
agreements and records
I
Five categories are enough to describe anything people do together.
II
Every connection is a record of something that happened, not a permanent statement.
III
Every connection says what kind of situation it belongs to and how fast it changes.
IV
One place holds the truth. Every part of the platform reads from there. No copies.
V
When something changes, we add a new entry. We don't erase the old one. History stays.
VI
Different organisations using the platform are kept apart by cryptography, not by trust.
VII
What you can see depends on what you are ready for, not on permission alone.
The Dynaxity matrix. Two questions, asked of every connection in the platform. What kind of situation is this — clear, complicated, complex, or chaotic? And how fast does it change — not at all, slowly, normally, or unpredictably? Sixteen possible cells. Every connection lives in exactly one. The cell decides how the platform reads the connection, how often it checks on it, and what kind of intelligence is allowed to act on it.
IV · The Learning Ontology
IV

The Learning Ontology.

IVHow it learns
Building something that organises complexity is the first half of the job. Building something that learns from being used is the second.

A platform that only describes the world is doing half the work. The matrix above shows how complexity gets named. What it doesn't yet show is how the platform learns from being used.

The idea is older than software. Watch a beginner learn anything — driving, playing piano, even typing. Every step is slow, conscious, effortful. After enough practice, the same skill becomes automatic — the body has learned to do it without thinking. We call it muscle memory. A part of the brain called the cerebellum takes over from the conscious part, doing what the conscious part no longer needs to.

Plastic deliberation
Conscious effort
Shadow candidate
Tested quietly
Frozen procedure
Automatic
Unfreeze on drift
Back to conscious
A platform that turns the wrong things into habits is rigid. One that turns the right things into habits is wise.— architectural principle

Our platform learns the same way. Every process begins as scaffolding — the smallest version we can build that actually runs. The platform watches: what gets used, what gets skipped, what people keep asking for, where they slow down. Buttons appear when they are needed. Questions appear when they are being asked. Steps form around the way the work actually flows. After enough repetition, a process settles into a shape that fits — closer to how the work really happens than anything we could have planned in advance.

Biology stops there. That is its limit. Once a habit is locked in, it is hard to undo — golfers with bad form know this, and so do pianists with locked technique. We built the part biology forgot: the ability to notice when a habit has stopped working, and the discipline to unlearn it.

The hardest skill is knowing which habits to keep and which to never form. Simple, repeating situations should be turned into habits, and the platform does so gratefully. Complex, shifting situations should never become routine, and the platform protects them from becoming routine. The tag on every connection — what kind of situation it belongs to — is how the platform decides which way to learn.

This is the difference between a platform that runs and a platform that learns. The first puts complexity in order. The second is shaped by it.

V · Ecosystem
V

Ecosystem.

VThree doors into the same body of work
Three different surfaces, each with its own audience, all growing from the same foundation.
drhamilton

The Practice.

Architecture · strategy · formation

Patrick Hamilton's own practice — consulting and design work for organisations that want to build platforms that adapt over time, rather than freeze up.

drhamilton.ch →
u-rise

The Reading Room.

Where the writing lives

The public face of the work — essays, articles, reference. Twenty years of thinking, made readable.

u-rise.ch →
ELI

The Institute.

European Leadership Institute

The first organisation using the formation platform in real life. A community of leaders shaping each other's growth, across cultures, on the foundation built here.

eli.community →
“
In 2006 the word dynaxity gave the problem its name. In 2026 the platform beneath it learned to do what the word had only described.
Patrick Hamilton2006 — 2026 · Springer to working platform
drhamilton