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 Hjortkjær, Jens
Year 2009
Publisher ESCOM 2009: 7th Triennial Conference of the European Society for the Cognitive Sciences of Music
Kind of work proceedings
Discipline Music Theory
Secondary disciplines Cognitive Science
Applied false
To test whether listeners perceive the hierarchical levels of melody proposed by Lerdahl and Jackendoff's Generative Theory of Tonal Music.
Participants in two experiments. Number not obtained.
Same-different judgments of melody pairs in which a single tone was altered at one of four time-span reduction levels, including an atonal melody and a poorly composed tonal melody.
Detection of altered tones correlated strongly with time-span level. Detection was lower for the atonal melody but not for the ill-formed tonal melody. Responses still varied with the position of the altered tone, and the link to reduction level was much stronger than to other parameters such as metrical position. The author suggests hierarchical levels may be graded rather than fixed.
Two listening experiments find that people notice changes to a melody more readily when the changed note sits higher in its hierarchical structure, though the effect varies with melody and tone position.
Listeners' sensitivity tracks levels of nested structure in melody, which supports the systems pattern in an auditory domain. The finding does not bear on the other three patterns, and the author's suggestion that levels are graded qualifies the notion of clean nesting. This record rests on the repository abstract.
Patterns it shows S
Shows the structure is there
Added 2026-10-14
How to cite this Hjortkjær, Jens (2009). Hierarchical perception of melody. ESCOM 2009: 7th Triennial Conference of the European Society for the Cognitive Sciences of Music.