Luke 23:44-46 - By now it was about midday and a darkness fell over the whole land, whch lasted until three in the afternoon; the sun's light failed. And the curtain of the temple was torn in two. Then Jesus gave a loud cry and said, 'Father, into thy hands I commit my spirit'; and with these words he died.
When the veil of self cloaks our hearts, our perceptions are stained by the basic selfish orientation of our nature.
But when one turns to the Lord, the veil of the self-life, like the veil in the temple, is torn in two. This is not the cutting of some thin cloth but the tearing of the heart, the splitting in two of the tightly woven fabric of self-righteousness and self-consciousness.
It is a violent rending, a putting to death, of the unregenerated self-nature.
2 Corinthians 3:16 - But whenever a man turns to the Lord, the veil is taken away.