The Universal & Atomic Elements of Organization
A falsifiable scientific theory proposing that the same irreducible structures organize both thought and reality — from the quantum to the social scale.
O-Theory proposes that four irreducible structures — Distinctions, Systems, Relationships and Perspectives (DSRP) — form the universal grammar of organization. Rather than being merely useful ways of thinking, these structures are hypothesized to be the atomic elements from which every organized phenomenon emerges, whether in cognition, biology, physics, mathematics, society, or the cosmos.
| D | S | R | P |
| Distinctions | Systems | Relationships | Perspectives |
| Identity ↔ Other | Part ↔ Whole | Action ↔ Reaction | Point ↔ View |
| D := (i ↔ o) | S := (p ↔ w) | R := (a ↔ r) | P := (ṗ ↔ v) |
This is a living scientific evidence compendium: an open, continually evolving collection of independent empirical research, formal theory, mathematical proofs, cross-disciplinary analyses, applications, critiques, and proposed falsifications. Every entry is included because it supports, refines, challenges, or attempts to falsify the theory.
Scientific theories are strengthened not only by evidence that confirms their predictions, but also by surviving attempts to falsify them. This compendium brings both together: independent evidence from researchers who were not testing DSRP and proposed counterexamples evaluated against the formal theory.
One counterexample is enough to falsify O-Theory. Until then, the question remains: do the same four structures organize everything from quantum systems to human thought?
Independent convergence is one of the strongest forms of scientific evidence because researchers arrive at the same conclusion while investigating different questions for different reasons.
The number is not the point. Researchers in different fields, studying different questions with different methods, repeatedly arrived at the same structural predictions—almost always without testing DSRP or using its language.
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This compendium began as the peer-reviewed literature review “A Literature Review of the Universal and Atomic Elements of Complex Cognition,” published in the Journal of Systems Thinking with 109 studies. That paper is the peer-reviewed foundation. What you see here is its living, continuously updated version . New studies are checked before they are added, and the collection now holds and keeps growing. Open any card to see what the researchers found, why it bears on DSRP, and where the original review discusses it, the fuller account.
The collection is updated continuously, so the citation carries the date you consulted it rather than a study count — the count changes weekly, and putting it in the reference would make the same collection look like a different work to everyone who cites it. To cite a single claim or study, use its own address: every one has a permanent link.
This is the adversarial half of the compendium. Where the evidence track asks what converges on DSRP, this one asks what would end it: a single organized phenomenon whose structure needs a fifth pattern, a ninth element, or a fifth structural dynamic. It holds written up from candidates across territories, and resolutions — the general answers those cases settle against. Every case is published whether it held or failed, including the ones still open.
Cite this rather than the evidence collection when the point is what survived attack. The two are separate works with separate addresses: one asks what converges on the theory, the other asks what would end it, and a reference to the first does not support a claim about the second. Case and resolution numbers change when the record is revised, so cite a case by its own permanent link rather than by number.
This collection is meant to keep growing. Send us a study, paper, book or critique that bears on DSRP, whether it supports the theory or cuts against it, and we will read it and decide whether it belongs.
Every account of how understanding improves describes updating. Bayesian revision adjusts credences on evidence. Conjecture and refutation discards what fails a test. Experiential learning cycles through action and reflection. Predictive processing minimizes surprise. Each is about what happens to the information in a model. This one is about what happens to its organization. A model fails because it is arranged differently from the thing it models, and the failure is the signal. Not an obstacle to understanding — the mechanism of it. A plan that does not work is reality reporting a structural mismatch, and the report contains the correction. The loop has two directions and needs both. Fitback runs outward: the model is put to the test against what the world will allow. Feedback runs inward: the world corrects the model. Block either one and learning stops. A model never tested cannot be corrected, and a model that cannot be corrected is only defended. The condition that keeps both open is corrigibility — the capacity of a system to be changed by what it encounters. This is a structural requirement, not a virtue. Humility and curiosity are what corrigibility looks like from the inside, and a system without it does not approach reality no matter how much information it takes in. Over time, with both directions open, the ratio of model to reality approaches one. The limit is one; the space between 1/1 and 1 is zero. But no finite moment arrives there, and that is not a shortcoming — total collapse of model into world would leave nothing left to learn. The claim is about the direction of travel. Two things follow that are not obvious. Misunderstanding is not evidence that the loop has failed — it is the realization of misunderstanding that starts it. And effort is not enough. The loop needs structure that can carry feedback: boundaries, reciprocity, coherent roles, the capacity to take the other's view. Below that threshold, trying harder does nothing at all. The name for running this loop deliberately is love. Not a feeling — a behavior. Loving reality more than you love your mental model (your preferred story), again and again.
Over time, and where both directions of the loop are open, the gap between a model and the thing it models closes. Read in symbols: as time goes on without limit (lim as t→ ∞), the ratio of the mental model at that time (𝕄ₜ) to reality (ℝ) equals one. A ratio of one means the model is organized the way the thing is organized. The limit is stated as equality because the difference between 1/1 and 1 is zero, though no finite moment arrives there. The expanded form says where a gap comes from. The model is the information it holds times the organization applied to it (I_𝕄 · O_𝕄); reality is the information in it times the organization inherent to it (I_ℝ · O_ℝ). A model can fall short by missing information or by being organized differently from the thing. Those are separate failures and they have separate repairs.
The gap does not close. Models are tested against the world, the world answers, the answers are received — and on average the mismatch stays the same or grows. Read in symbols: the expected value (E) of the rate of change over time (d/dt) of the distance between the model and reality (d(𝕄ₜ, ℝ)) is greater than or equal to zero. Distance not decreasing is the whole of it. The conditions attached matter: this is the null given fitback that actually tests, feedback that actually returns, and structure able to carry both. A model that fails to improve while sealed off from correction says nothing about the loop, because the loop was never running.
The convergence claim is measured in people at three time scales, by three different methods, and it points the same way each time. Over years, a panel study found that where one partner's view failed to match the other's lived reality, corrective behaviour followed later. Over days, a diary study found that people who tried harder to understand their partner reported more closeness the next day. Over minutes, couples whose conversations carried more structural alignment had higher relationship quality. Years, days and minutes fail in completely different ways, and none of them relies on self-report about the relationship — the criterion is another person's life, which the model does not control. One study forbids something rather than finding it. Agents ran through repeated cycles of sampling reality, updating and acting again. Below a threshold of organizational integrity the loop stalled however much effort was applied; above it, better than 95% of runs converged. Effort without structure does not close a gap, and the threshold says where. Underneath all of it sits the machinery the loop runs on, established separately: understanding rises as the product of information and organization, and collapses when either goes to zero. Two entries here do not support the claim. One is external work that narrows it, tightening what can be said about the limit. The other is the loop failing at scale — people rating solutions drawn from an independently established web of causes, and looking for the single one that works rather than judging them all worth doing. The rest state the theory, the collective version of the same loop, and the evolutionary argument for why the structure is there at all.