Learning about ancient temple practice and theology, I tend to view things through that lens these days. I wrote previously about the veil and its symbolism. The veil in the first temple was woven from four different colors representing the four elements, which the visible world was thought to consist of. It concealed the glory of God and represented matter, the visible creation. The vestment of the high priest was made of the exact same fabric and represented incarnation. Even though they look differently today, some may notice the similarities that exist between the veil and sacred clothing.
Once a year, on the Day of Atonement, the high priest entered through the veil into the holy of holies. Before he did that, he took off his vestment and changed to a special white linen garment that was only to be worn in the holy of holies. This was the clothing of angels. He did not wear the colored vestment anymore representing incarnation, because he passed into the eternal realms. In the first temple period, the high priest who did all this was also king, representing the Messiah.
Considering all this, I find striking parallels to Jesus' transition through the veil on his "Day of Atonement". The letter to the Hebrews argues that Jesus was a true high priest after the order of Melchizedek, the first priest-king in the ancient temple tradition. In the Gospel of Matthew, chapter 27, we see evidence of that.
35 And they him, and , casting lots: that it might be fulfilled which was spoken by the prophet, They parted my among them, and upon my vesture did they cast lots.
36 And sitting down they watched him there;
37 And set up over his head his accusation written, THIS IS JESUS THE KING OF THE JEWS.
Jesus, the king and high priest was about to complete the atonement. He was stripped of his garment, just like the high priest in the temple took off the vestment. The greek word used here in Matthew is 'himation' meaning an outer garment. Jesus had a name or title written over his head. Similarly, the high priest in the temple wore a golden seal on his forehead with the sacred name written on it.
Some verses later, we read
50 Jesus, when he had cried again with loud voice, yielded up the ghost.
51 And, behold, the of the temple was from the top to the bottom; and the earth did , and the rocks rent
Here is the transition. Jesus leaves the mortal world and the veil rends to let him through into the holy of holies. Even though his body is lifeless at this point, it will soon come to life again in the first case of a glorious resurrection beyond the veil. To prepare his body for that, Joseph from Arimathæa takes his body and wraps it in fine linen.
59 And when Joseph had taken the body, he wrapped it in a clean linen cloth
The greek word here is 'sindoni'. This is fine bleached linen, comparable to the garment that the high priest in the temple wore inside the holy of holies on the Day of Atonement. The clothing-temple symbolism doesn't end there. In her book, "Temple Theology", Margaret Barker explains
Most remarkable of all is the description found in 2 Enoch, where Enoch the high priest figure has ascended through the heavens to stand before the throne. The Lord summons Michael to remove Enoch's earthly clothing - the symbol of his mortal body - and to dress him in the garments of glory - the symbol of the resurrection body.
When Jesus appears to the Nephites after his resurrection and ascension into heaven, we read
And it came to pass, as they understood they cast their eyes up again towards heaven; and behold, they a Man out of heaven; and he was clothed in a white robe; and he came down and stood in the midst of them; and the eyes of the whole multitude were turned upon him, and they durst not open their mouths, even one to another, and wist not what it meant, for they thought it was an angel that had appeared unto them. (3 Nephi 11:8)
This white robe reminds us of the garment of glory that Enoch received that represented the resurrection, especially a few chapters later when his garments are described as shiny white.
And it came to pass that Jesus blessed them as they did pray unto him; and his did smile upon them, and the light of his did upon them, and behold they were as as the countenance and also the garments of Jesus; and behold the whiteness thereof did exceed all the whiteness, yea, even there could be nothing upon earth so white as the whiteness thereof. (3 Nephi 19:25)
23 Speak unto Aaron and unto his sons, saying, On this wise ye shall the children of Israel, saying unto them,
24 The Lord bless thee, and keep thee:
25 The Lord make his face upon thee, and be gracious unto thee:
26 The Lord lift up his countenance upon thee, and give thee .
27 And they shall put my upon the children of Israel; and I will bless them.
This was to be done by the sons of Aaron, the priests in the tabernacle/temple. In 3 Nephi, Jesus was now the priest-king who had passed through the veil, resurrected and dressed in the white garment of glory. He came to his people to give them this blessing and His name, the name that high priests in the temple traditionally had worn. Figuratively, his disciples became temple priests too and were allowed to enter with Jesus into the holy of holies.