The structural identity

For any non-isometric holographic code with bulk dimension $d_\text{eff}$, encoding two boundary observers $A$ and $B$, the expected absolute difference in entropy reconstructions satisfies a structural identity:

$\mathbb{E}|S_A - S_B| = \mathcal{F}(d_A, d_B, d_\text{eff}, \rho_\text{class})$

The function $\mathcal{F}$ decomposes as a product of a state-class-dependent prefactor and a universal scaling function of the dimensions. Established via AEHPV encoding and Haar-measure integration.