Write an alternate history scenario + lore for the anime and manga series Elfen Lied in the form of a book chapter, where the following events and disrepencacies are explained with each event occurring in chronological order:

. The origins of the diclonii in the mysterious and mythical pre-shogunate era of the history of the Japanese home islands and Japan's three provinces on the Korean peninsula, Omoiyari [Goryeo], Kutara [Baekje], and Shinra [Silla], which later became known as the "Three Kingdoms of Korea", should be explained in an indepth manner, with the diclonii providing the basis of the Oni of Japanese legends and mythology. 

Why the dicloni's bone protrusions/'horns' on top of their head resemble cat ears and how they evolved into an all-female sub-species of humanity that reproduces by infecting humans with their vectors, should also be explained. 

. The reason for Japan retaining its status as a semi-autonomous region of the Turkic Tang Empire that ruled over China and its core provinces from its homeland in East Turkestan even after the collapse of the Tang Empire in 907, and then declaring itself as the successor state to the Tang Empire after the Tang's fall should also be clarified and explained, with the Japanese imperial family claiming the Mandate of Heaven and trying to keep the Silk Road and tributary system open.

. How Japan was able to eliminate ambitious Korean general Yi-Seong-gye in 1388 and work with the reform-minded Sinjin faction of the native Korean aristocracy to overhaul the government of the Korean prefectures after Seong-gye's mysterious passing, eliminating corruption and streamlining efficency as well as removing pro-Chinese elements in Korea. 

The flight of the diclonii living in Korea during Yi-Seong-gye's attempted rise to power to Takeshima Island should be explained, as well as the reason why they choose to stay on Takeshima and retain their feudal Japanese customs, language and culture even after Yi-Seong-gye's death. 

.  How the passing of Yuan Shikai after his formation of the Empire in China in 1915 and the subsequent ascension of Zhu Yuxuan, the Marquis of Extended Grace to the Chinese throne as Ming Emperor as well as Japanese support for the Dingsi Restoration lead by Zhang Xun that restored the Great Qing Empire in its homeland of Manchuria, with Pu Yi becoming Emperor of the Qing once again, helped prevent the modern warlord era of Chinese history and allowed the Central Powers to win WW1 before the US could intervene. 

. How Japan, working with its protectorates in the Great Qing Empire in Manchuria, the restored Ming dynasty, East Turkestan, Tibet and Mengjiang in Inner Mongolia were able to defeat both the USA and the weakened Soviet Union in WW2 and establish the Greater East Asian Co-Prosperity Sphere as the dominant power in East Asia in the aftermath. 

. What happened to the USA after the collapse of the New Freedom regime lead by Woodrow Wilson due to non-intervention in WW1 and its defeat by Japan in WW2

. How, why and when the Institute was formed to study the diclonii and why it was unable to stop Director Kakuzawa's rise to prominence as Director

. The fates of the United Kingdom, France, Italy, Serbia and Russia after the World Wars

. How the German Empire and Austria-Hungary were able to fulfill their Mittleeuropa dream and put an end to French fascism, Russian autocracy and English autocracy, uniting Europe behind liberal democracy and social democratic monarchism

. The fate of the Vietnam war due to Ho Ching Minh and the Viet Minh supporting the Empire of Vietnam led by the Ngyuen dynasty in their battle against the dictatorship of the Republic of Vietnam occupying Vietnam's southern regions, and how the defeat of the Vietnamese Republic after the 1975 Fall of Saigon and the subsequent victory of monarchist forces in Laos and Cambodia against communism and fascism marked the end of the British Commonwealth and United States as global powers respectively

. How Kohta's sister Kanae was able to see Kaede's vectors, when vectors can only been seen by a fellow diclonius