RECOGNITION
PHYSICS INSTITUTE
Independent research / Austin, Texas

Recognition Physics Institute / Science from first principles

Build a world
of abundance.

Abundant energy, a world free of disease and a new kind of intelligence.

We are applying a unified understanding of nature to some of humanity’s greatest challenges. Our ambition is to make matter designable, down to the atom.

A flowing sculpture of linked circles, shaded in mint, lilac and rose.
Linked circles, lasting connections

Why these circles?

A connection that holds as the shape changes.

Every circle links every other. You can bend or stretch the loops without breaking those connections; separating them would require cutting one or passing it through another. These lasting relationships illustrate the loop record in Recognition Science’s account of why space has three dimensions.

The curves are exact Hopf fibres, with an artistic choice of arrangement, color and lighting.

Our scientific foundation

Understanding nature opens new possibilities.

Nature’s laws connect everything we hope to build. Recognition Science is our unified mathematical account of those laws, beginning with how physical events are distinguished, compared and recorded.

Our team brings physicists, mathematicians and computational scientists together to put that understanding to work. We turn mathematical insight into experiments and engineering, pursuing technologies that could transform everyday life.

Explore Recognition Science

Applied research

Protein folding & medicine

We study how proteins fold and bind by working from the underlying physics, with the ambition to understand disease at its molecular roots and develop new ways to prevent and cure it.

Fusion energy

We are developing the physics and engineering needed for practical fusion power, working toward a source of clean energy abundant enough to transform everyday life.

Noa / Native Intelligence

Through Noa, we are pursuing intelligence that can reason beyond today’s language models, learn as it encounters new situations and use what it understands to solve unfamiliar problems.

Quantum computing

We use Recognition Science to develop quantum algorithms and study how quantum states maintain the relationships that make computation possible, including in processors that work with light.

Selected research

What we are
discovering.

Our research asks how a few fundamental principles can explain the world around us. Here, a theorem about comparison, an experiment with light and a discovery made with AI show how that work is progressing.

½12J(½) = J(2)

Mathematics · Published

A consistent way to measure difference.

If one length is twice another, the second is half the first. Our formula treats those two views equally. The paper proves that this formula is uniquely selected by its rules: a nonnegative measure, zero at a match, a law for combining comparisons and a fixed scale.

This measure gives our research a shared starting point for describing how quantities differ.

Photon correlation measurements in eight sequential passesRaw CHSH scores: 2.202, 2.371, 2.541, 2.485, 2.618, 2.551, 2.552, 2.579. Filled dots are recorded scores; open dots show a model of sensitivity to readout imbalance. Bars show conditional counting uncertainty, not the spread between passes. Four passes per session, with recalibration between sessions. Source: Table 5 of the linked preprint.2.82.42.0CHSH correlation scoreSession 1Session 2

Experiment · Preprint

Measuring correlations in light.

In eight sequential passes on Quandela’s photonic processor, our team measured correlations in selected photon detections. The study publishes the measurements, data and code, creating a reference others can inspect and build on.

The chart shows recorded scores and their sensitivity to readout imbalance. This work establishes a measurement reference; it does not certify entanglement.

Recorded Readout sensitivity
Bars show counting uncertainty.

One bound: R² / 8

AI discovery · Proof checked

More detail without losing the guarantee.

Physics calculations often divide space into a grid. Cambrian, our AI research system, produced a machine-checked proof of a bound on a cube that holds however fine the grid becomes.

Researchers can add detail to this calculation without weakening the bound, which depends on the cube’s size rather than the number of grid points.

Try the comparison ↓Close the comparison ↑

Recognition Science / 90 seconds

How a comparison
becomes a record.

When a detector absorbs light or a clock advances, something changes. Recognition Science begins with these physical events and asks how their differences can be compared and carried forward.

Notice a physical change.

A light detector changes when it absorbs a photon, leaving a difference between its earlier and later states. In Recognition Science, “recognition” means a physical process that makes such a difference available for comparison, without requiring a conscious observer.

Measure the difference.

If one length is twice another, reversing the comparison gives one half. The formula assigns both the same score, called the comparison cost. Move the slider to see how the score changes as the lengths move closer together or farther apart.

Carry the information forward.

To compare a new event with an earlier one, some information about the earlier event must remain. Recognition Science studies the rules these records must follow and uses them to develop arithmetic, geometry and models of the physical world.

The same difference, either way

Ratio A / B2

Comparison cost0.25

Twice as much and half as much both have a cost of 0.25. At a perfect match, the cost is zero.

J(x) = ½(x + 1/x) − 1

The published proof explains why the rules for combining comparisons and setting their scale select this formula. Here we compare lengths; applying it elsewhere means identifying the quantities being compared and how they are measured.

See how these ideas develop into the wider theory.

Explore the full introduction

How our work fits together

The scientific foundation

Recognition Science

Recognition Science is our unified mathematical account of nature. It starts by asking how physical events can be distinguished, compared and recorded, then develops the consequences for mathematics and physics.

Explore the science

Mathematical discovery

Cambrian

Cambrian helps researchers discover new mathematics. Its AI agents develop results and proofs, which are checked by Lean, software designed to verify each logical step.

See the discoveries

Native Intelligence

Noa

Noa explores a new kind of intelligence built from the principles of Recognition Science. We call it Native Intelligence: a system designed to learn from experience and build a lasting understanding of the world.

Explore our research directions

Research

Explore the research.

These papers connect the foundations of Recognition Science with questions about gravity, matter and quantum behavior. Each summary links to the full publication details; the research library brings the wider body of work together.

FoundationsPublished

A consistent way to compare

Shows why the paper’s rules for combining comparisons and setting their scale select a unique formula. It treats twice as much and half as much as the same degree of difference.

FoundationsAccepted

Building numbers from first principles

Develops counting, arithmetic and richer number systems from the act of making a distinction and keeping a record. Each stage makes clear which logical rules it needs.

MathematicsPublished

The geometry of comparison

Explores the geometry that emerges when several quantities are compared at once. The resulting measure of difference depends on one underlying direction in the space of comparisons.

PhysicsPublished

Gravity from discrete information

Derives Newton’s law of gravity, with a small correction, from a model built from discrete information. It compares the result with galaxy rotation without adjusting a separate parameter for each galaxy.

Applications & testsPublished

Patterns in liquid water

Uses the golden ratio to organize the timescales and vibrations of water’s hydrogen bonds. A measured timescale sets the scale, and a second measured relationship connects the model to the liquid.

Applications & testsarXiv preprint

Testing quantum correlations with light

Reports photon correlations measured in eight sequential passes on a commercial processor. The archived counts and code provide an inspectable measurement reference, with an analysis of readout imbalance and the limits of the experiment.

From the institute

Latest discoveries.

New papers, experiments and verified mathematical results from across our research.

  1. Proof verified
  2. Preprint submitted
  3. Preprint submitted

Our people

Different disciplines.
A shared ambition.

Our team brings together mathematics, physics, chemistry and engineering to understand nature and turn that understanding into new possibilities.

Collaborate with us

Let’s build what comes next.

We welcome researchers and potential partners who want to turn a deeper understanding of nature into practical advances.

jon@recognitionphysics.org

Explore a partnership

Find where our work in energy, medicine, intelligence or quantum computing could connect with yours.

Start a conversation