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The African Ancient Egyptian civilization started up south.

I've been reading archeological claims that say that the ancient Egyptians came from the South and that the first chiefdoms and kings were in the south.

That is correct.

Some also claim that there is a crown of Upper and lower Egypt, with the southern or white crown (Upper Egypt) being superior to the red crown.

It is not clear what you mean by "superior".

If I take the Bible as a historical document, Ezekiel 29:14-15 says :

The Bible is historically worthless. Especially when it comes to attempting to use those fictional accounts to substantiate any historical facts concerning the African Ancient Egyptians. The first "Bible" ("Old Testament") was not printed en masse in Europe until 1475 C.E. by Gutenberg; or rather, the individuals whom Gutenberg owed money to. The first Bible printed containing both the "Old Testament" and "New Testament" did not occur until 1537 C.E. Again, those dates have absolutely nothing to do with Ancient Egypt in Africa.

Importantly, an individual has to believe in the fictional stories in the so-called "Bible"

The Date of Noah’s Flood by Dr John Osgood

The question as to exactly when Noah’s Flood occurred has seen a variety of different answers from scholars through the years. The only possible way such a date could be obtained is if the documented evidence which exists provides enough clues to pinpoint the event. Now, while there are many documents and folk histories concerning Noah’s Flood, the most detailed description occurs in the Biblical text. Does the Bible contain sufficient chronological data to enable us to put a time on Noah’s Flood? I believe it does and I believe it does this so clearly that no doubt should remain either about the timing or the nature of this judgment by God upon this earth.

The art of the Biblical chronologist or Date-finder is a mystery to most, so let me explain how such a date can be found. Firstly, I will take a brief look at the assumptions or starting points which I will use.

I must assume or believe to be true that the information about dates does exist in the Bible (otherwise I would not start to look).

I must assume that such information is reliable and the writers did not set out to deceive. (This assumption must be made about any historical document before it is examined.) Therefore if I find apparent contradictory evidence in the text, I will first assume that a problem exists in my understanding rather than the text.

Thirdly, I assume that since the Bible is God’s revealed word to man, it is accurate and therefore will not conflict with true historical information derived from outside the Biblical text.

Lastly, I assume that the best way of using information from one part of the Bible is to use it the way the Biblical writers used it or referred to it in other parts of the Bible.

... The placing of a catastrophic global flood in the year 2304 BC means that all civilizations discovered by archaeology must fit into the last 4,285 years. The significance of this fact will be pursued in later articles. [Ed. note: — for more information, see TJ 2 (1986), pp. 56–87 and TJ 3 (1988), pp. 96–136.]

The belief in "a catastrophic global flood in the year 2304 BC" is inconsistent with the actual historical evidence (even that presented by western academia) that there is an unbroken line of African Ancient Egyptian "kings" from at least 2649 B.C.E. through to at least 653 B.C.E. (so-called "Nubian"), see List of Rulers of Ancient Egypt and Nubia; for more details see Working with Egyptian King-lists

Order of Discussion Considering Neferefre’s Anchor Date of 2750 BCE Having determined the nature of the information in the king-lists prior to the reign of Neferefre, I will next discuss the kings from Neferefre down to Unas — the remainder of the 5th Dynasty, and the kings of the 6th and 8th Dynasties. Beginning with Neferefre, whose w3gy date fell in 2750 BCE, these kings are able to be dated through a combination of data from the Turin Canon, lunar dates, other sources such as mason’s inscriptions, and the census counts as provided by the South Saqqara Stone.

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Thus, the Bible is totally irrelevant to

So I want to know how this is possible. The Egyptians are middle Easterners, they are Semitic people. So how can archeologists claim that they came from the south.

The term "middle Easterners" or "Middle East" is a modern geopolitical term having nothing to do with the African Ancient Egyptians.

The term "Middle East" may have originated in the 1850s in the British India Office.7 However, it became more widely known when American naval strategist Alfred Thayer Mahan used the term in 19027 to "designate the area between Arabia and India".8 During this time the British and Russian Empires were vying for influence in Central Asia, a rivalry which would become known as The Great Game.

Similarly, the term "Semite" is also a term which was not used in Ancient Egypt in Africa.

Semitic most commonly refers to the Semitic languages, a name used since the 1770s to refer to the language family currently present in West Asia, North and East Africa, and Malta.

Where Pathros is located historically

Am not certain about fictional accounts or stories in the Bible. They are not related whatsoever to actual history which can be verified.

The pieces of evidence that argue for or against a Northern origin of the Egyptian civilization.

It depends on which period of time you are talking about. If we use the western academic "Out of Africa" theory

In paleoanthropology, the recent African origin of modern humans, also called the "Out of Africa" theory (OOA), recent single-origin hypothesis (RSOH), replacement hypothesis, or recent African origin model (RAO), is the dominant1 model of the geographic origin and early migration of anatomically modern humans (Homo sapiens).

The model proposes a "single origin" of Homo sapiens in the taxonomic sense, precluding parallel evolution of traits considered anatomically modern in other regions,7 but not precluding limited admixture between H. sapiens and archaic humans in Europe and Asia.[note 1] H. sapiens most likely developed in the Horn of Africa between 300,000 and 200,000 years ago. The "recent African origin" model proposes that all modern non-African populations are substantially descended from populations of H. sapiens that left Africa after that time.

they were no other people on the planet besides those in sub-Sarahan Africa.

That means, according to western academia, the origin of humanity is sub-Saharan Africa. The Ancient Egyptian civilization is at least 25,000 years old, as reflected in the procession of the equinoxes encoded into the so-called "Giza complex", where the Great Pyramid of Khufu still stands, see Astronomical Alignment in Egyptian Pyramids; Precession and the Pyramid Astronomical Knowledge in Ancient Egypt; Giza – the Time Machine; Is the Fall Equinox the Secret to the Pyramids’ Near-Perfect Alignment?.

Those same original people went across the globe, populating the planet. At some point western academia states that those original African people mated with the different species Neanderthal, and Denisovan. Those resulting matings are what is considered to be modern Europeans. That still means the original humans came from the up south. Along the way down north several hundred pyramids and temples were built (for example, the hundreds of pyramids in Sudan), including the step pyramid of Imhotep.

Even if the recent claims of "crossing the Red Sea" are taken literally it would mean that African were capable of building sea-faring ships - long before Columbus - originating from sub-Saharan Africa.

There is no evidence in Europe that suggests people came from Europe to Africa to contribute to the African Ancient Egyptian civilization. Similarly, there is no evidence that people from the so-called "Near East" came into Ancient Egypt bring their knowledge to the civilization of Ancient Egypt in Africa. What is clear is that the deities Bes and Ptah are from up south in sub-Saharan Africa, which are physically representative of the Great Lakes Twa people

The Great Lakes Twa, also known as Batwa, Abatwa or Ge-Sera, are a pygmy people who are generally assumed to be the oldest surviving population of the Great Lakes region of central Africa

The origin of the African Ancient Egyptians is the highlands of Ethiopia, Uganda (if DNA evidence satisfies your inquiry, notwithstanding the issues with the use of CSR, see Ancient Egyptian Pharaohs related to Ugandans - DNA by David Sepuya Kalanzi (Saturday August 16 2014) "The conclusion of the tests were that the mummies autosomal profiles would be most frequent in the present day populations of the African Great Lakes region and Southern Africa. Subsequent analysis of the autosomal profile of the mummy of Pharaoh Rameses III also concluded that this matched the genetic profiles of the population of the Great Lakes region as well." ), Sudan, Kenya, Congo, Chad, Somalia, Eritrea - as those cultures combined and moved down north to contribute to the Ancient Egyptian civilization.