The Triadic Structure (Δ, Λ, Ψ): A Guide to the Series — Roadmap and Unified Demarcation

The triad (Δ, Λ, Ψ) is an algebraic structure carrying three operations at once, with no fixed order among its terms. This paper is a guide to the published series on this single structure — the non-orientable-spacetime paper, the foundations paper, the unified-description paper, the Tomita–Takesaki paper, and the state paper. It contains no new results. Its content is threefold: it summarizes the core algebra in one place; it gives, as a single map, which operation of the same structure each paper places in the foreground, what its core theorems are, and that they are machine-verified by the verification scripts archived with each paper; and it consolidates into a single table the demarcation running through the whole series — what is established from the algebra (consistently up to order two), where order four Z/4 resides, what is conditional (the KMS identification, with its condition specified), and the sole unconstructed root (the supply of the external scale, which axiom T2 shows cannot be fixed from inside the structure). The paper is written in a form that absorbs future additions to the series: a new paper is incorporated by adding one section to the map and one row to the consolidated demarcation table, and this paper is then issued as a new version. No new dynamics are introduced.