It's easy to see the connection between judging and truth. In a court of law, the whole purpose of the judge is to find the truth. Any time anyone judges anything, we hope it is on the basis of the truth. It's no wonder, then, that judging and judgment in the Bible represent truth being put to work. Depending on the circumstances judging can be teaching truth, determining someone's character from truth or setting order to things according to truth. There is a twist, though -- when the Lord is referred to as a judge, it actually signifies Divine Good, rather than Divine Truth. This is because the Lord judges us ultimately from love, and his truth flows from that love.

271. Arrayed in white garments, signifies all truths from good in the lower heavens. This is evident from the signification of "white garments," as being truths that invest, which specifically are true knowledges [scientifica] and cognitions (See above, n. 195, 196, 198); and because the lower heavens are in these truths, they are meant.

That "white garments" signify the lower heavens may seem strange to those who know nothing about appearances and representatives in heaven. All in the heavens are clothed according to truths, and lower truths correspond to garments, and because the lower heavens are in these truths, therefore the garments of the angels in the higher heavens also correspond to these. (But this arcanum may be more clearly understood from what is said and shown respecting the Garments in which the Angels are Clothed, in the work on Heaven and Hell 177-182; likewise from what was represented and signified by the garments of Aaron and his sons, explained in Arcana Coelestia 9814, 10068; as also by the garments of the Lord when He was transfigured, n. 9212, 9216)