I think the concept of looking at one's self infinitely is interesting. Reminds me a German story I read," Es steht Geschrieben", where the protagonist found a book which reflected his life. When the protagonist turned to the last page of the book, he read, :"the protagonist turned to the last page of the book".
Of course, while you read history will keep growing, as time is passing. The end of the book, I think, represents the current moment.
IMO, the introductory "One day" is superfluous, and could be done away with.
Finally, the absence of the final . is a nice touch.