Arcana Coelestia#7716
7716. 'No man could see his brother' means that they could not perceive the truth of any good. This is clear from the meaning of 'seeing' as understanding and perceiving, dealt with in 2150, 2325, 2807, 3764, 3863, 4407-4421, 4567, 4723, 5400; from the meaning of 'man' as truth, dealt with in 3134; and from the meaning of 'brother' as good, dealt with in 2360, 3303, 3803, 3815, 4121, 5409, 5686, 5692, 6756, and a man linked to his brother as the good of truth, 3459. From these meanings it is evident that 'no man could see his brother' means that they could not perceive the truth of any good.
Arcana Coelestia#2325
2325. 'And Lot saw' means [their] conscience - that is to say, the conscience of those with whom the good of charity exists but whose worship is external. This becomes clear from the meaning of 'seeing'. 'Seeing' in the Word means understanding, see 897, 1584, 1806, 1807, 2150. In the internal sense however 'seeing' means having faith, a meaning which will in the Lord's Divine mercy be discussed at Genesis 29:32. The reason why conscience is meant here is that people who have faith have conscience as well. Conscience is inseparable from faith, so inseparable in fact that it makes no difference whether you speak of faith or of conscience. By faith is meant faith through which charity comes, and which derives from charity. This being so, it is charity itself, for faith without charity is not faith at all. And just as faith is not possible without charity, neither is conscience possible without it.