Interesting and sophisticated definition of justice. However Things gets bit more complicated when we add deterministic and predictability to it. “Set actions will ALWAYS lead to set outcomes”. This will eliminate the principle of free choice. This definition only makes sense to those of strong faith who believe in a bigger story of creation. Someone like average Joe is looking for more practical definitions of terms and concepts, and justice in this life, would ask can I have a definition that relates to my life? I would say "what you sow you reap" is simple enough for Joe. Still this also requires strong belief in the afterlife and Joe is not interested.
So when the judge says justice is served, what kind of definition he has in mind for the word justice. Can we have a global agreement on what this “justice” is, the one the judge is talking about? May be if we do we can live together in peace, all faiths, nations and all of humanity. Do you have any suggestions? Thanks.