%
\label{def:identity-slippage}
A foundation exhibits \textbf{identity slippage}
if diagonal resonance (Definition~\ref{def:diagonal-resonance}, I.D89)
causes the following:
distinct ontic objects cannot be preserved as distinct
under any global projection
into the foundation's semantic layer.
Specifically:
\begin{enumerate}
    \item The equality relation $E \hookrightarrow X \times X$
          acquires operational behavior
          that is indistinguishable
          from a family of ``almost-identity'' arrows ---
          a thin groupoid of identity witnesses
          that acts like morphisms of sameness
          without being the canonical $\mathrm{id}_X$.
    \item The self-product $X \times X$
          and the diagonal $\Delta_X$
          allow the system to construct
          self-referential composites
          of the form $f(e(a)(a))$
          (the double use of $a$
          that Lawvere's fixed-point theorem requires),
          producing identification
          where none was ontically intended.
    \item The combination of (1) and (2)
          prevents the existence
          of a canonical, identity-faithful
          intended semantics:
          the system cannot internally stabilize
          a unique ontic closure
          without appealing to an external meta-theory.
\end{enumerate}
Identity slippage is not inconsistency.
The system does not derive $\bot$.
It derives something subtler:
\emph{non-canonicity} ---
the impossibility of singling out
a unique intended model
from within the system itself.