Δ𝓘 = 0: The Minimal Principle of Ontokinesis

We present a minimal protocol semantics for certifying identity under analytic continuation, formalized by the principle $\Delta\mathcal{I}=0$ and termed \textit{ontokinesis}. The central object is a directed \emph{identity graph} whose edges are generated by a wrapped discrepancy test on a protocol-evaluated invariant; \emph{identity classes are defined as strongly connected components (SCCs)} of this digraph. This SCC-first definition provides algorithmic closure and replaces geometric intuition with a purely operational equivalence relation. Certification is supported by (i) \emph{loop invariance} under protected continuation (a prerequisite for stable edge measurement), and (ii) \emph{edge-separability} (a sparsification rule that certifies a gap between edge and non-edge discrepancies when present). An optional strengthening is \emph{window stability} across continuation depths (ensuring SCC partitions remain reproducible under bounded variations of the continuation window). As a concrete implementation, we construct a holomorphic ledger family from the Riemann zeta function $\zeta$ and its derivative $\zeta'$. As an out-of-family reproducibility check, we also run a cross-ledger stress test on the Rogers--Ramanujan function $G(q)$, comparing two independent realizations (series vs.\ product) under the same policy parameters. The protocol produces machine-verifiable certificates for loop invariance, edge-separability, SCC closure, and window-stability. Throughout, ``ontokinesis'' denotes a protocol-level identity capability and carries no metaphysical or predictive commitment.