Is there modern evidence that the Sun stood still? Has anyone presented tangible, astronomical evidence of a disruption we can see today that is claimed to be caused by the Sun/Moon "stopping" roughly 3500ish years ago as it says in Joshua 10? Has any prominent figure made any scientific observations that would point to some Sun/Moon stopping event?


  Joshua 10:12-14 ESV At that time Joshua spoke to the Lord in the day when the Lord gave the Amorites over to the sons of Israel, and he said in the sight of Israel, “Sun, stand still at Gibeon, and moon, in the Valley of Aijalon.” And the sun stood still, and the moon stopped, until the nation took vengeance on their enemies. Is this not written in the Book of Jashar? The sun stopped in the midst of heaven and did not hurry to set for about a whole day. There has been no day like it before or since, when the Lord heeded the voice of a man, for the Lord fought for Israel.


I am assuming a literal interpretation of this passage--that the Sun and Moon somehow "stopped", be it miraculous or God just timing it perfectly or otherwise.

Related: Did the sun and the moon really stop rotating?. I'm looking for an example of a scientist saying "this is my evidence for it" rather than "these are all the ways it could happened."
I had heard about NASA finding a missing day that proved that the earth stood still, however it does not seem to be true. There does not seem to be any evidence other than the Word of God, and I cannot see how there really would be evidence of this.