Research Annex · First Annex

Speculative Indices
for a Research-Field

Object Incidence, Relational Thickness, and further ontography in The Black Bird

Mohammad Zare · 2026

This annex introduces speculative indices developed from the object grammar of The Black Bird.

Object Incidence records how Research Note Objects and Field Objects distribute recurrence across the research-field. Relational Thickness records where objects repeatedly share mediating conditions. Mediational Incidence records how strongly a Field Object is held by Relation Objects.

The indices give recurrence a surface. They open pathways for further ontography, relation-making, and poetic construction.

The calculation is bounded to source-bearing Research Note Objects and extracted Field Objects. Relation Objects remain mediating sites. Mapping Note Objects, Reference Objects, and Name Objects keep their roles outside the primary calculation.

Two matrices structure the calculation.

The first matrix, A, records the contact between Research Note Objects and Field Objects. Its rows are the four Research Note Objects. Its columns are the eighteen Field Objects. A cell is active when a Field Object appears inside that source-bearing note.

The second matrix, B, records the contact between Field Objects and Relation Objects. Its rows are the eighteen Field Objects. Its columns are the twelve Relation Objects. A cell is active when a Field Object participates in that Relation Object.

The indices do not interpret the work from outside. They give recurrence, overlap, and mediation a small surface, so the reader can return to the field with a more precise sense of where the work has already thickened.

RNO Field Breadth
OI_N(n) = Σ_f A[n,f]
Field Object Research Recurrence
OI_F(f) = Σ_n A[n,f]
RNO–RNO Field Overlap
RT_NN = A Aᵀ
FO–FO Research Co-incidence
RT_FF^N = Aᵀ A
Mediational Incidence
MI_R(f) = Σ_r B[f,r]
FO–FO RelO-Mediated Thickness
RT_FF^R = B Bᵀ

The work begins with Black Bird as the first object-field, but the relation layer gives Corpse one more mediating site than Black Bird.

Black Bird and Corpse are equal in research recurrence: each appears in all four Research Note Objects, giving both a Field Object Research Recurrence of 4. In the Relation Object layer, however, Corpse has Mediational Incidence 9 while Black Bird has Mediational Incidence 8.

The entry-object and the densest relation-body are therefore not identical. This difference is one of the useful pressures exposed by the indices.

RT_NN = A Aᵀ. Each cell shows the number of Field Objects shared between two Research Note Objects. The diagonal shows the Field Object count for each note.

RNO pair Shared FOs Shared Field Objects
Cain / Ghurāb — Huginn / Muninn 3 Black Bird, God, Corpse
Scald-crow — American Crows 3 Black Bird, Corpse, Forensic
Cain / Ghurāb — Scald-crow 2 Black Bird, Corpse
Cain / Ghurāb — American Crows 2 Black Bird, Corpse
Huginn / Muninn — Scald-crow 2 Black Bird, Corpse
Huginn / Muninn — American Crows 2 Black Bird, Corpse
Field Object ledgers

The public ledgers show only values greater than 1. Complete values remain available in the data package.

Research recurrence · OI_F > 1
Black Bird4
Corpse4
God2
Forensic2
Mediational incidence · MI_R > 1
Corpse9
Black Bird8
Assembled Crows5
Cain3
Huginn3
Muninn3
Forensic3
Allah2
God2
Burial2
Odin2
Battlefield2
Warning Call2
Black Bird and Corpse form the universal research spine. They are the only Field Objects appearing in all four Research Note Objects, giving both a research co-incidence of 4 and a RelO-mediated thickness of 5 — the highest pair value in the field.
Cain / Ghurāb and Huginn / Muninn form a Black Bird / God / Corpse corridor. The Qurʾānic and Norse notes do not become the same tradition; they share a narrow passage of recurrence through bird, divinity, and corpse.
Scald-crow and American Crows form a Black Bird / Corpse / Forensic corridor. The Irish death-marking scene and the behavioral-science note meet through corpse-attention and forensic pressure.
Corpse has the highest Mediational Incidence in the field: 9 of the 12 Relation Objects hold it. Black Bird remains the entry-object, but Corpse becomes the densest relation-body.
Zero is not ontological absence. Zero is absence from the current profile. The visible ledgers therefore show only values greater than 1, while the complete data package preserves the full calculation.