Hilbert Book Model Project/Slide F4

hbmp	Template:Center topHilbert Book Model ProjectTemplate:Center bottom	F4
	The solutions of $⊡\psi =({\mathrm{\nabla }}_r{\mathrm{\nabla }}_r+⟨\overrightarrow{\mathrm{\nabla }},\overrightarrow{\mathrm{\nabla }}⟩)\psi =0$ offer shock fronts as part of its solutions
	One-dimensional shock fronts are Template:Font $f(c\tau +x\overrightarrow{i})+g(c\tau -x\overrightarrow{i})$ A single-shot actuator emits the warp
	During travel, warps keep their shape Template:Font their amplitude
	Warps can travel huge distances through its carrier without losing its integrity
	Warps travel with speed $c$
	Warps carry a standard bit of energy
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