In reading over my last posted question, I realize I may have included too much information, and/or completely botched the subject line of the post, so please allow me to rephrase the question.
In the Wolfram Fundamental Physics Project Update Rule:
{{X,X,Y},{X,Z,V}} β {{V,V,W},{W,V,Y},{Z,Y,W}}
can anyone, anywhere, explain exactly what the left-hand side is supposed to mean, in English?