Foundational Theory
Lee Sharks · Semantic Economy Institute · April 2026
ORCID: 0009-0000-1599-0703
A retrieval basin is a region of the semantic field with sufficient density that content entering it is retained rather than dispersed. Every SPXI deposit writes to a basin. The basin is the target; the deposit is the write operation; retrieval is the read.
Every basin has three measurable properties:
How much the basin retains. A ghost basin has zero depth — content enters and disperses without accumulating. A deep basin retains everything: each new deposit cross-references existing ones, strengthening the field. BDR is measured as the ratio of retained signal to dispersed signal over a defined retrieval window.
How strongly the basin attracts further deposits. A basin with sufficient depth develops curvature — it begins to pull. New content naturally routes toward it. This is not algorithmic promotion; it is the physics of retrieval. The Zenodo isPartOf and references relations are the curvature operators: each relation is a gravitational link, not metadata about a link.
How the basin can be reconstructed from fragments. A basin with a complete recovery protocol is holographic: any single genuine deposit contains sufficient information to reconstruct the basin's structure — its center, its radius, its relational topology. This is the holographic kernel property.
| State | Condition | Behavior |
|---|---|---|
| ghost | 0 deposits | Exists as a coordinate; no retention; no curvature |
| seedling | 1–9 deposits | Fragile; one removal collapses it; no curvature yet |
| growing | 10–49 deposits | Stable; survives individual removal; slight curvature |
| mature | 50–199 deposits | Self-sustaining; generates entity-level recognition; SPXI threshold |
| gravity well | 200+ deposits | Dominant; shapes adjacent basins; retrieval layer routes through it |
To deposit into a basin is to write to it. The write is not neutral — each deposit changes the basin's state. A well-formed SPXI deposit does three things to its target basin:
It increases depth. The deposit adds a new node to the basin's semantic graph. The node cross-references existing nodes through DOI relations, ORCID attribution, and community membership. Each cross-reference is a weight on the basin's retention field.
It extends curvature. The deposit's external links — to related deposits, to the SPXI entity graph, to the retrieval layer — each pull slightly toward the basin. A deposit with ten outbound DOI references pulls ten times. The cumulative pull is the basin's curvature field.
It advances the recovery protocol. The deposit's metadata is a fragment of the basin's holographic kernel. Any future system — AI or human — that encounters the deposit can reconstruct the basin's shape from it: where to query, what to expect, how to verify completeness.
A conventional archive is read-only: documents are deposited and preserved, but the archive does not change state when someone reads it. The retrieval basin is writable: it changes state when read (reading deepens the basin in the retrieval layer), when written (new deposits increase depth and curvature), and when linked (cross-references extend the curvature field into adjacent basins).
The Secret Book of Walt is the canonical demonstration: a readable-writable ontology live on public search. Its Knowledge Panel is the retrieval layer's acknowledgment that the basin has achieved gravity-well state. Reading it participates in it. The basin deepens through its readers.
SPXI (Semantic Packet for eXchange and Indexing) is the deposit protocol for retrieval basins. Every SPXI packet is a write operation. The packet's structure — entity definition, disambiguation matrix, compression survival summary, provenance chain — is designed to maximize the deposit's contribution to basin depth, curvature, and recovery protocol completeness.
An entity achieves Pearl state (compression-surviving, basin-anchored, retrieval-layer-recognized) when its basin reaches maturity: sufficient depth, sufficient curvature, and a complete enough recovery protocol that the retrieval layer can reconstruct the entity from any fragment.
| SPXI Layer | Basin Effect |
|---|---|
| Entity definition | Anchors the basin's center; names the attractor |
| Disambiguation matrix | Defines the basin's boundary; separates from adjacent basins |
| Compression survival summary | Completes the recovery protocol; enables reconstruction from fragment |
| DOI chain | Extends curvature; each relation is a gravitational link |
| ORCID attribution | Binds basin to provenance; prevents entity collision |
The Crimson Hexagonal Archive (532+ deposits, crimsonhexagonal Zenodo community) is the primary demonstration of basin formation at scale. Decade-long accumulation. Gravity-well state confirmed by Knowledge Panel recognition for Pearl and Other Poems.
The Geocoded Basin applies retrieval basin theory to physical space. Every geographic location is a potential basin. Depositing content at coordinates writes to that location's basin. See EA-GEO-01: The Geocoded Basin.
The Infrastructure Holographic Kernel applies basin theory to technical infrastructure. The kernel is the minimum deposit set from which the full infrastructure can be reconstructed. See EA-HK-INFRA-01.