As well as Chinese and Indian culture. And not too mention Europe which also had people running around by then, but none of them bothered to mention this alleged non-stop rain and rising flood levels. Of course there are many such flood stories, but every one of them beg the question that how could these floods have flooded the entire earth, kill everyone but the given flood story's given god's given chosen person, but yet life continued unabated everywhere we had settled by those times, without disruption, extinction, or even an inkling of a clue that this flood happened.
That's the thing.
There was no global mass extinction at any time during the 3rd millennium BCE.
If there were, there would be consistent and considerable evidences everywhere, dated TO A SPECIFIC or SINGLE POINT IN TIME.
There would be evidences in geology everywhere. There would be archaeological evidences everywhere. But there are none that point to a global flood.
2340 BCE would be the date this biblical Flood could have occurred - THAT IF the bible was at all reliable with the number of years, generations and reigns - then that would put the Flood during the near the beginning of the 6th dynasty (2345 – 2181 BCE), in Egypt.
And we have a lot of archaeological evidences, that the Egyptians continue to build pyramids after 2340 BCE.
Teti (reign 2345 - 2333 BCE) was the founder of the 6th dynasty, after he succeeded Unas (reign 2375 – 2345 BCE) of the 5th dynasty, because Unas didn't have any son left to succeed him, so Unas' son-in-law (Teti) succeeded him. His two sons ruled after him, and they were half-brothers - Userkare and Pepi I (2332 – 2287 BCE).
If the Flood had occurred, then Teti and every members of his family would have died with him, leaving no successors, and yet Pepi succeeded Userkare's very short reign, and built himself a pyramid.
And in the pyramids of Unas, Teti and Pepi I were hieroglyphs that mean assist the decease rulers with their afterlife in the Netherworld; these hieroglyphs became known as the Pyramid Text, which included later pyramids of later 6th dynasty kings too. If the Flood had occurred, would the Egyptian kings continue this same tradition of writing those hieroglyphs in their tombs?
I would say no. Because if Flood was true, then like I said earlier, the tradition or culture would be different to the pre-Flood Egypt.
But, according to Genesis 10, Egypt didn't exist until Ham had a second son, named Egypt or Mizraim (in KJV). If the Bible was true, then they would have to wait for Ham's son to grow to adulthood. That mean there should be a gap of 15 to 20+ years. In fact, it would have been centuries before Egypt could recover, recover enough to be a civilisation again, if the Bible's Flood was true.
Can Egypt have a gap of 20 years, with no one to continue on the "Egyptian" tradition or culture?
I would say "no", because the Flood and the generations that followed afterward is unrealistic, unreliable and has no evidences to support anything that the Bible had to say about the flood and Noah's descendants. And all the evidences are there that a global flood didn't happen - both in archaeology and in geology.
And like you have said, Indian and Chinese cultures continued without interruptions.
