This is an amateur scientist's argument. The length of the day is based on the rotation of the earth. It does not require the sun.I do believe, however, that all six days of creation week were literal 24 hour days.
But how do we give such a literal explanation to anyone who ask, since the literal evidence (the sun made on day four) does not seem to support it?
Now read the first three words of the Bible, "In the beginning". Next read verse 14 "And God said, “Let there be lights in the vault of the sky to separate the day from the night, and let them serve as signs to mark sacred times, and days and years". Time is a product of creation and lasts for the duration of this age only. In the description of the days of creation we must understand that God knows how long a day would be even before the first day. Even if there is was no way for time to be measured on the first day, the length of time God took to do something must be understood to be as described. For God to change the length of one day/24 hours some time later in the creation account would be deceptive, which is a lie. God does not lie.
Note that on the last day time ends. This exemplifies the current age never meant to be eternal and only the next age being eternal.
Revelation 22: 5 There will be no more night. They will not need the light of a lamp or the light of the sun, for the Lord God will give them light. And they will reign for ever and ever.
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