We must note that verses 25-27 of this Psalm are quoted in the New Testament in the book of Hebrews (Hebrews 1:10-12). The section in Hebrews simply states that Jesus Himself was responsible for creating the universe. This passages teaches us that the “thou” in verse 25 refers to Jesus Himself.
The writer of the book of Hebrews must have read and studied Psalm 102. It is apparent that he believed in the future return of Jesus to reign on this earth as well as the fact that Jesus was present at creation. Jesus existed in eternity past and will exist through eternity in the future. This doctrine (teaching) may be referred to as the eternality of Jesus Christ. He is “eternal” like God the Father. The Bible does not teach that God the Father created Jesus and that Jesus then created everything else. The Bible teaches Jesus always existed (see Proverbs 8:30).
We know that God the Father did not create God the Son? Isaiah 44:24b says, “. . . I am the LORD that maketh all things; that stretcheth forth the heavens alone; that spreadeth abroad the earth by Myself.” Notice Isaiah uses the title “LORD” (that means “Jehovah God”) as the entity who made our world. If one ties verse 25 of this Psalm, with Isaiah 44:24 and Hebrews 1:10-12, the combined point of these verses is that Jesus is God and Jesus did create all things.
Verse 25 is telling me that the “thou”, referring to Jesus, did this work. Remember the writer of this Psalm was somehow in a lot of pain and was convinced he was dying way too young. Instead of worrying about his situation, the writer recalls the fact that God (Father and Son) created the world and if they created it, we should respect them as being in charge of this world.
Therefore, if God is in charge of this world, then we let Him be in charge. God does give us the freedom to choose to live for ourselves or live for Him at any particular moment. If we choose to let Him run our lives, then we do just that: 'let Him be in charge'. This means we accept whatever time frame God has given us to live and we use that time frame to make a difference for Him with our lives.
There is an Old Testament Bible story of a man named King Hezekiah. This was an Israelite king that was dying and then asks God for more time to live. God granted his request and gives that king 15 more years of life (see 2 Kings 20:6). The problem with that request is that during those next 15 years of the king’s life, he gave birth to a son named Manasseh who would later become the next king. This new king was recorded as one of the worst kings in Israel’s history (see 2 Kings 21:1,11 and 2 Chronicles 33:9 to record the bad history of Manasseh). The apparent moral of the story is that when God says “our time is up”, as it was God’s desire for King Hezekiah at that moment (before the 15 years), He may have a reason why He wants to end our lives at that time. In the case of King Hezekiah, it was to prevent the rule of one of the worst kings in the history of that country.
The story of Hezekiah ties back to verse 25. We need to recognize God is the One who is in charge of our days upon this earth. Only God determines when our life or our particular situation we are dealing with is “over”. In the meantime, we make the best decisions we can with the information at hand and trust Him.