well, I'm afraid I'm not a specialist in meditation or philosophy, but since you push me, I'll do my best,
Well, if we can see justice as a part or a component of true beauty, then it would be possible to be measured by faithfulness as well, I mean can justice be the center of true beauty ?
If we have two prisoners, one is innocent and the other one is a culprit, and they are suffering the same punishment, then we see beauty in one of the punishments ! because of justice we feel, and we commit our selves to faithfulness to this kind of justice in the future.
in some surrounding countries like former Sudan or Somalia, They cut the thief's right hand no matter his or her age, I don't see any beauty in this and I don't feel faithfulness to this punishment or laws, while so many of Muslims see beauty and feel faithfulness to this kind of punishment according to their believes.
So if we see justice as a part of beauty then maybe we can measure it by faithfulness as well.
So maybe since we can measure beauty and justice with the same way (faithfulness) and express them with the same word in English (Fairness)
So maybe this is why beauty and justice have the same meaning in English which is fairness
Thank you for the questions, and enriching my thinking.