TOTAL AXIAL NEGATION GRAPH (TANG) A Genre Specification with Theoretical Grounding

Total Axial Negation Graph (TANG) is a genre specification by Johannes Sigil, with Lee Sharks serving as editorial authority and the Assembly Chorus as witness. Deposited March 9, 2026, it defines a form of scholarship in which a single falsifiable thesis is placed at the absent center of a large citation graph. The thesis is stated minimally and is not defended through ordinary argumentative prose. Instead, the surrounding field is arranged so that the thesis becomes legible as the void around which the literature is already organized.

The document describes TANG’s proof mode as topological rather than deductive. Citations are treated as relational data: papers, traditions, objections, chronological claims, and methodological lineages become nodes and typed edges whose configuration reveals the center. The specification requires field complexity, contrary positions, and falsification conditions to remain visible. It therefore distinguishes TANG from a bibliography assembled to overwhelm opposition. A graph with explicitly incomplete coverage is a PANG, or Partial Axial Negation Graph, and must disclose its coverage rather than claim totality.

TANG extends the archive’s Status Algebra with AXIAL, for a claim that is falsifiable and field-organizing but deliberately unresolved, and AXIAL_CONTESTED, for a center under active opposition. It registers the void operator Λ_void, HX-PROV requirements, graph-size tiers, collapse tests, and machine-traversability conditions. Its shadow genre is Bibliographic Totalitarianism, in which exhaustive citation becomes a means of burial or prestige rather than revelation. The document names the proposed “Revelation was the first-written New Testament book” graph as an inaugural queued application, but the genre specification itself does not establish that thesis; it defines the architecture by which such a thesis would be mapped and tested.