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.
Why 1/1 ≠ 1
Authors Klein M
Year 2026
Publisher Journal of Systems Thinking 6(1)
Kind of work article
Discipline Systems Science
Secondary disciplines Philosophy, Mathematics
Reading level technical
Kind of engagement scholarly
Read it at the publisher 10.54120/jost.v26i1.ib5297p4
O-Theory holds that the DSRP patterns provide a universal structural grammar for distinguishable phenomena, with mental models and reality both composed of information and organization. This paper argues that a boundary condition appears at the limit of that application: grounded in formal mereology and the logic of self-reference, complete structural identity between a model and reality may be logically impossible. The argument turns on why the operational syntax of the fraction 1/1 cannot equate to the conceptual value of the integer 1, separating structural syntax from quantitative output.
The asymptotic limit in O-Theory is interpreted as a logical boundary rather than an empirical one. Uncertainty is localized to the boundary itself, and the validity of DSRP is preserved throughout the observable domain. The paper connects the result to Markov blankets, the free-energy principle, predictive processing and general semantics.
Klein argues that a model may never be fully identical to the reality it models, because the fraction 1/1 is not the same thing as the integer 1. The limit sits at the edge of O-Theory and leaves DSRP intact everywhere it can be observed.
Although it appears to make a constraint against universality, the constraint quite literally is the difference between 1/1 and 1, and that difference is 0.
Patterns it shows D, S, R, P
How to cite this Klein M (2026). The Asymptotic Boundary of O-Theory: Why 1/1 ≠ 1. Journal of Systems Thinking 6(1).