Interstrictic

EXTENSIONS, MODULATIONS, VARIATIONS AND APPLICATIONS

2026

Abstract.

The interstrictic (Latin inter‑ “between” + strict “bind tight” + ‑ic “nature of”) is the minimal consensus unit that binds distinct sectors without obstruction.

We develop a full mathematical theory of interstrictic structures, including their extensions across categories, modulations under viscosity flows, variations through homotopy deformation, and applications to Ramsey theory, proof theory, and geometric topology.

Key results include: the Interstrictic Extension Theorem (every interstrictic object extends to a maximal interstrictic sheaf), the Modulation–Stability Theorem (viscosity modulation preserves the interstrictic property up to homotopy), and the Variation Collapse Theorem (variational descent converges to a unique interstrictic fixed point).

We provide executable Common Lisp and lambda calculus implementations, together with applications to Coulon–Ramsey bounds, automated theorem proving, and link concordance invariants.