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.
On Systems
Must parts be independently specifiable, separable, or numerically distinct?
A system can have parts that cannot be fully described alone, and a thing may even contain itself. Dependence or self-containment does not erase part–whole structure.
Mutual containment. Each pole of a pair contains and defines the other: e⁺ ∈ e⁻ and e⁻ ∈ e⁺. So the whole is in the part as the part is in the whole, and independent specifiability is not merely unrequired — it is ruled out. Specify the part completely and you have already specified the whole, because the whole is contained in it. This concerns complete specification, not description. A wheel can be described without mentioning bicycles; that description is simply partial, short by exactly what the whole contributes. The objection needs the stronger claim — that a part can be specified in full with no reference to its whole — and that is what the mechanics forbid. The identity "dog" is shaped by the boundary of "not-dog", and the reverse. The System pattern adds nothing to this. S := p ↔ w through contains/belongs requires only that the whole contains the parts and the parts belong to the whole. It does not require independent, separable, individually specifiable, or numerically distinct p and w states, and a thing may contain itself. The objection imports a requirement the calculus never carried and the mechanics forbid.
The apparent difficulty arises because parts are assumed to be independently specifiable, separable, numerically distinct entities. DSRP requires only the contains/belongs structure (S := p ↔ w); entanglement, self-containing sets, and other dependent part–whole organizations preserve that structure without requiring an additional primitive.