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.
Authors Francesca Chelazzi, Dan Lawrence
Year 2026
Publisher PLOS ONE
Kind of work article
Discipline Archaeology
Applied false
Read it at the publisher 10.1371/journal.pone.0355479
This study investigates the long-term emergence of settlement scaling in Ancient Southwest Asia by analysing house-size data from 1,852 buildings across 80 archaeological sites dating from the Late Epipalaeolithic to the Iron Age (c. 13,100–580 BCE). Using domestic architecture as a proxy for household productivity, we provide the first fully diachronic test of settlement scaling theory in the region where urbanisation first developed. Mixed-effects models reveal that scaling relationships were absent in the Neolithic, ambiguous in the Chalcolithic, and only fully emerged in the Bronze Age, where sub-linear exponents align with theoretical predictions for intensive socioeconomic outputs. These patterns persist into the Iron Age, indicating that strongly mixing interaction networks—central to settlement scaling theory—became structurally embedded only with the rise of urban complexity. Across periods, baseline house size more than doubles, suggesting long-term technological or organisational improvements independent of agglomeration effects. We also examine how scaling relates to economic inequality using Gini coefficients of residential size distributions. Inequality correlates with settlement size only in politically complex systems and primarily at major centres, indicating that institutional structures—not agglomeration-driven productivity—govern the allocation of returns. Residuals from scaling models do not predict inequality, demonstrating that productivity gains and their distribution operate through independent channels. Finally, we derive period-specific estimates of population density from the intercepts of area-population scaling relationships. These results document a marked decline in residential density from the Chalcolithic to the Bronze Age, followed by partial recovery in the Iron Age, aligning with independent reconstructions from sites such as Tell Brak. Overall, the study shows that scaling behaviours emerged only with sustained urban integration, and that inequality in early cities was shaped more by political institutions than by the geometric constraints of urban interaction.
To test, across 8,500 years, whether settlement scaling theory — how household productivity relates to settlement population — held in the region where urbanization first developed.
1,852 residential buildings across 80 archaeological sites (107 site-phases) in Southwest Asia, c. 13,100–580 BCE.
Mixed-effects regression models of house size (as a productivity proxy) against settlement area, compared across four chronological periods and five sub-regions, with Gini coefficients used to measure residential inequality.
Settlement scaling relationships were essentially absent in the Neolithic, ambiguous in the Chalcolithic, and only fully emerged with sub-linear exponents in the Bronze Age, persisting into the Iron Age, while residential inequality tracked settlement size only in politically complex systems rather than through agglomeration effects alone.
A demonstration that the relationship between a settlement's population (the whole) and its households' productivity (the parts) is not a fixed law of urban systems but a historically emergent one, appearing only once settlements became sufficiently integrated.
Patterns it shows S, R
Added 2026-09-20
How to cite this Francesca Chelazzi, Dan Lawrence (2026). The emergence of urban scaling in Ancient Southwest Asia. PLOS ONE.