Figure 1

We numerically solve the SG equations of motion in Eq. (19) for a pair of colliding Gaussian wave packets. The discrete Fourier transform of this solution, defined in Eq. (36), is inserted into Eq. (37) to obtain a putative matrix-valued solution of ZM theory. The above density plots characterize this ZM configuration, where the horizontal (vertical) axes denote space (time) and lighter (darker) colors denote positive (negative) field values. Each panel depicts a different matrix-valued, spacetime-dependent operator, $\mathcal{O}=\varphi ,{\varphi }_{tt},{\varphi }_{xx}$, etc., where the subscripts denote derivatives. Each operator is visualized by plotting its projection onto a single component, $\mathrm{tr}(\mathcal{O}{\mathit{T}}_0)$, where ${\mathit{T}}_0={\sum }_p{\mathit{T}}_p$. Each term in the ZM equations of motion in Eq. (13) is nonzero, but they nevertheless cancel to high precision in the final panel. These results were obtained for $U(N)$ with $N=499$. See Ref. [72] for an animation of this scattering process.