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 Perspectives / Context
Can conclusions from different measurement contexts be combined as unqualified facts without preserving their contexts?
No. Context is the organization of information relative to a target, C = O(I ∣ t₀). If the information, organization, target, point, view, boundary, basis, or relationships differ, the conclusions are not generated in the same context.
The scenario is nested. Each laboratory is a whole and the agent inside it is a part. An outer agent's view takes in the whole laboratory, inner agent included — so the outer agent is not a second observer standing beside the inner one, but a point whose view contains a system the inner one belongs to. A perspective may contain another perspective: P ∈ P. Representing that requires nothing the calculus does not already have.
Every conclusion in the chain is a view taken from a point. The step that produces the contradiction carries a conclusion forward without the point it was taken from. A view with no point is a Perspective with one pole missing, and Equality forbids a pattern present without both of its poles. The contradiction is what a missing pole looks like from inside the argument.
That is the whole of the structural finding, and it is neutral on the physics. Whether the argument's conclusion stands, and which of its assumptions ought to be abandoned, are questions about the information. The calculus does not settle them and does not need to. The claim under test was that representing this scenario requires a fifth pattern, a ninth element, or a fifth dynamic. It requires none of those: identities, wholes with parts, relationships among them, and points with views.
The same structure appears wherever two parties reason from different places and then compare conclusions as though they had been standing in the same one.
The apparent difficulty arises because a conclusion is treated as a portable object. The argument carries what one agent concluded across to another agent and leaves behind the point it was concluded from.