Why would you think that affected the daily cycle?
While the number of hours in the day was extended the daily cycle remained the same. The evening and morning cycle was not disrupted. Just because we measure a day by 24 hours does not mean that God does the same. He clearly set the daily cycle measurement criteria during creation. If the extended day happened on a Thursday it was still Thursday until the sun went down and the new day began. Friday would have begun at sunset of the long Thursday.
I also ask what difference does it make what we humans believe? I can believe black has been changed to white but that doesn't change reality. Black is still black and white is still white. God's word is immutable. It stands forever. No matter what you or I think God's word stays the same, and God's word defines reality for what He speaks becomes reality.
I did not want to offend anyone.
I agree God's Word is immutable , here is the event:
Joshua 10: 12. Then spake Joshua to the LORD in the day when the LORD delivered up the Amorites before the children of Israel, and he said in the sight of Israel, Sun, stand thou still upon Gibeon; and thou, Moon, in the valley of Ajalon. 13. And the sun stood still, and the moon stayed, until the people had avenged themselves upon their enemies. Is not this written in the book of Jasher? So the sun stood still in the midst of heaven, and hasted not to go down about a whole day. 14. And there was no day like that before it or after it, that the LORD hearkened unto the voice of a man: for the LORD fought for Israel.
I do not know how the daily cycle on earth could remain the same.
Time was moving for Israel in the battle.
The warriors did not stand still the Sun did for almost a day.
God established time in the universe pertaining to earth by creating the Sun and the moon.
Genesis 1: 16. And God made two great lights; the greater light to rule the day, and the lesser light to rule the night: he made the stars also. 17. And God set them in the firmament of the heaven to give light upon the earth, 18. And to rule over the day and over the night, and to divide the light from the darkness: and God saw that it was good.
Do we base days on the Sun rising and setting?
We do not base a day on 24 hours , it takes 24 hours for the sun to rise and set and rise again.
According to the creation there is day and night based on the sunrise and sunset.
I am not by any means stating God made a mistake.
We make mistakes by presuming what day is first and last according to the Hebrew calender of that time.
It seems to matter to those who condem others for not worshiping on Saturday.
It causes Sunday worshipers to pose their own theories as to why.
Yes black is black and white is white.
Yes the Bible shows clearly calender days were stopped for one day the Sun did not go down for about a day.
The sun dial for Hezekiah was turned back 10 degrees and possibly that finished the about a day.
Time move forward but the way calender days are counted one is missing.
Therefore if time moved forward a day for men in battle so did the rest of earth.
The error was not deleting the lost day on the calender.
Sunday is the last day of the week.
A side note ,I know Sunday is of Pagan origin in name, yet it is ironic if indeed the last day of the week was caused to change due to the Sun not moving.
When all else fails consider what we base our information on, for me it is the Bible and logic.