Paper 142: VCML Black Hole Analogue ---\\ Event Horizon Fractal Dimension and\\ Hawking Temperature Scaling

We test whether a forced-collapse region in a VCML lattice forms an ``event horizon'' with the G\"{o}del-diagonal fractal dimension $d_H = 2/ = 1.2361$ and whether the boundary flip rate scales as $T 1/r^k$ with Hawking exponent $k=-2$. A central disc of radius $r \{10, , 80\}$ cells is pinned to the dead state via $h_ext = -10$, creating a sharp phase boundary at $ = K_r * s _gate$. The dynamical boundary level-set (cells where $ _gate = 2 / - 1 = -0.561$, time-averaged) yields $d_H^dyn = 1.28 0.07$ across 8 radii (L=256, ctrl=0.80), consistent with the VCML prediction $2/ = 1.236$ at $1.5 $. The boundary flip rate scales as $T r^{+0.29}$, decisively rejecting the Hawking prediction $T r^{-2}$ in this lattice analogue.