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

Emergent metastable behavior in a resource-constrained network of exclusion processes

Bhatia et al., 2026, Physical Review E — Network Science

Patterns: Distinctions, Systems, Relationships

In short

The network's behaviour belongs to the whole and to no lane in it, and it arises because the parts are coupled through a shared pool. The phases themselves are boundaries: the system is in one regime or another, and the count of regimes changes with friction.

What they found (results)

Modelling a four-lane branching–merging network whose lanes compete for a shared finite particle pool, the authors show up to five stationary phases with a metastable region under low friction, and up to eleven phases with metastability lost under high friction, verified by mean-field theory and Monte Carlo simulation.

Abstract

Inspired by the intrinsic organization observed in various biological and physical processes, which manifests through interacting subsystems connected by networks, where particles often compete for limited resources, we study a four-lane network system with a branching-merging geometry under resource-constrained conditions. The particle inflow in the network is regulated by the total number of particles considered in the system, quantified by a filling factor, while conflict between the particle flow at the merging point of the network is captured through a friction parameter. Utilizing mean-field approximations, we obtained the analytical expressions for the stationary-state attributes of the resource-constrained network, such as lane densities, flux, stationary phases, and phase boundaries. The analysis of systems' stationary-state behavior is facilitated by the construction of phase diagrams in the parameter space of the entry-exit rate for two distinct friction regimes. All theoretically obtained findings are validated by the extensive stochastic Monte Carlo simulations based on the Gillespie algorithm under the random sequential update. For a low friction regime, the system can exhibit up to five possible stationary phases, and its phase diagram features a metastable region corresponding to the passage lanes. In this region, the possible stationary phase exhibited by these lanes sensitively depends on the lanes' initial configuration or density, which is corroborated by spatiotemporal plots. In contrast, for a higher friction regime, the system stops exhibiting metastable behavior, and now the phase diagram becomes richer, supporting up to 11 possible stationary phases. In both regimes, the topology of the phase diagrams exhibits non-monotonic behavior in terms of complexity as well as the number of stationary phases as the reservoir feeds more particles to the network system. Lastly, the influence of the boundary rates and the friction parameter is investigated on the position and height of the shock, along with the examination of the finite-size effects, providing an additional insight into the underlying phase transitions of the system.

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

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