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Every system that sustains itself
follows the same pattern.

A cancer cell evading treatment. A company losing direction. A star forming from gas. The same four steps, the same mathematics, the same formula for intervention.

Generative Geometry is the structural science of how things change — and what to do when they stop working.
Meff = M × (1−D) / (1+D)
8
Domains validated
0.6%
MAE drug predictions
5
SM constants derived
9
Papers published
Start with the article →
Four parts, no prior knowledge required. From two operations to the structure of everything.
Meff = M × (1−D) / (1+D)
The effective potency of any intervention in any dissipative system. Supportive care is a potency multiplier, not comfort.
Learn about
The framework in four steps

Each page builds on the previous. Start with geometry and work your way to the human body — or jump to wherever you need.

01 — Foundation
Geometry
Two operations produce four regimes. Four regimes at depth produce five functions. The irreducible structure of every system that maintains itself.
02 — Depth
Agents
Five fractal levels. At each level, binary means something different: existence, orientation, structure, signal, equilibrium. What an agent is and how it operates.
03 — States
Systems
Twenty equilibrium modes. Four regimes, each operating the five functions in a structurally different way: simultaneous, sequential, combinatorial, structural.
04 — Application
The Human Body
All twenty modes mapped to specific physiological systems. Five signals, five builds, five interaction states, five maintenance modes. Health is all twenty in balance.
The Geometry of Coexistence

Everything that maintains itself — a star, a cell, a company, a habit — does so by running two operations over and over. This article derives the complete framework from first principles. No prior knowledge required. Four parts, one chain of reasoning.

Consider how science works. A researcher observes something unexpected — a disturbance. She gathers data, reads prior work, forms a preliminary picture. Then she commits to a hypothesis. She builds an experiment, tests it, discards what fails, selects what survives. She publishes — the work encounters the world.

That sequence is the same sequence a star follows from gas cloud to main sequence. The same sequence a cell follows from signal to division. It is not a metaphor. It is one geometry, expressed in different materials.

Begin reading →

Contents

I
The Structure
Two operations, four regimes, the mandatory sequence, and the generative property.
II
The Resolution
Five functions, fractal depth, agents, intervention, and the observer.
III
The Evidence
Physics, biology, oncology, ecology — the same formula tested against reality.
IV
The Implications
Consciousness, organisations, the universe, and what the geometry means for you.
Explore
Tools and evidence
Predict
L7 — System Tools
Diagnose and intervene on any dissipative system. Drug combinations, climate interventions, organisational health — all from the same formula.
DCRP · Climate · Analyser
Verify
Evidence
Twenty system states derived. Drug predictions within 0.6% MAE. Five Standard Model constants. Every claim tested against published data.
7 domains · 35 trials · 15 predictions
Reference
The Science
Axioms, derivation chain, the physics explorer, and the complete formal framework. From two operations to η = (2/π)J².
12 axioms · 5 constants · 0 free parameters
Research Papers

All papers published on Zenodo with DOIs. The framework belongs to everyone who studies it.

The Four-State Observer Protocol — Why Some Treatments Produce Durable Remission and Others Don't
2026
Zenodo →
The Observer Breaks in Four — Why Your Immune System Fails in Alzheimer's and Cancer
2026
Zenodo →
Immune Escape Is Two States, Not One
2026
Zenodo →
Binary Is How Systems Hold Equilibrium — Twenty Modes Derived from the Human Body
2026
Zenodo →
η = (2/π)J² — The Baryon Asymmetry and Five Standard Model Constants from Cycle Geometry
2026
Zenodo →
The Geometry of Intervention — A Universal Formula for Intervening in Dissipative Systems
2026
Zenodo →
The Code Truth — A Hypothesis on the Geometric Unification of Fundamental Forces
2026
Zenodo →
There Is Only One Way to Grow — A Universal Sequence in Dissipative Processes
2026
Zenodo →
The First Principles of Change — Definitions
2026
Zenodo →
Background
About

Generative Geometry was developed by Raimo van der Klein over twenty-five years of observing change in teams, organisations, and systems. The pattern was discovered empirically, formalised structurally, and tested quantitatively across seven scientific domains.

Van der Klein is COO of Pacmed (AI-powered hospital capacity management) and co-founder of Layar (world's first mobile AR browser, 40M+ users). The book Riding Change presents the framework for a general audience.

This is an independent research programme. It is not affiliated with any university or institution. The work is published open-access and the tools are freely available. The geometry belongs to everyone who studies it.