Living Evidence Compendium

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.

What if the same structures that organize your thoughts also organize the world? Explore the hypothesis

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.

DS RP
DistinctionsSystemsRelationshipsPerspectives
Identity ↔ OtherPart ↔ Whole Action ↔ ReactionPoint ↔ 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?

Try a demonstration yourself Why is this convergent evidence compelling? See why independent convergence is one of science’s strongest forms of evidence.

independent opportunities for the theory to fail.

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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About this collection

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.

Cabrera, D., Cabrera, L., & Cabrera, E. A Literature Review of the Universal and Atomic Elements of Complex Cognition. Journal of Systems Thinking. · Cornell University & Cabrera Research Lab.

How to cite this collection

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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.

About this record

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.

How to cite the counterexamples and resolutions

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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.

Know of work that belongs here?

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.

 

DSRP Evidence

More Links but Fewer Effective Routes: Entropy and Resilience in Global Lithium, Cobalt and Nickel Trade Networks

Liu et al., 2026, Entropy — Network Science

Patterns: Systems, Relationships

In short

The network's whole-level functional property (route diversity, resilience) does not scale with the simple count of its parts (links), and entropy is used as a relational bridge connecting network structure to resilience outcome.

What they found (results)

Analyzing value-weighted global trade networks for lithium, cobalt and nickel (2010-2024), the authors found the number of trade links rose (e.g., lithium links from 180 to 290) while the entropy-effective number of functional routes fell sharply (from 38.68 to 12.75), and flow entropy correlated with a network's resilience to targeted attack (rho=0.754, p=0.001).

Abstract

Counts of trade links are often used as evidence of diversification, yet they say little about how value is distributed across those links. Using bilateral flows for selected lithium, cobalt and nickel products among 72 economies from 2010 to 2024, we built directed, value-weighted networks and examined them with multiscale entropy measures, lagged formation models and disruption tests. Here, entropy is used in the information-theoretic sense to measure how evenly trade value, network weight or motif participation is distributed across routes and structural modes; for route-value entropy, exp(H) is the effective number of equally weighted routes. The number of lithium links increased from 180 to 290, but its entropy-effective route count declined from 38.68 to 12.75. Nickel displayed a similar divergence, falling from 118.84 to 21.81 effective routes as links increased, whereas cobalt moved in the opposite direction. Across layer-years, flow entropy was associated with the share of trade retained under targeted attack (ρ = 0.754; Holm-adjusted p = 0.001). Binary dependence between lithium and nickel rose over time, although their weighted divergence was still 0.907 in 2024. In the China-removal experiment at the largest capacity margin, 95.7% of nodes survived but only 33.8% of trade value remained. For these product baskets, a larger network therefore need not be a more diversified one, and preserved connectivity can coexist with substantial economic loss.

These researchers were not testing DSRP. The finding is theirs; the correspondence to DSRP is drawn by this site.

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