The book is set in an era where advanced simulations allow a person to escape their mortal hardships for an alternative experience or adventure that could span several days or months or even years—all occurring in a few hours of real time.
Nietzsche's idea of amor fati—the love and acceptance of one's fate with no wish that anything should be different, giving the courage to embrace every moment of life in whatever shape it comes, be it glorious or painful—calls for us to even celebrate those difficult things in existence as if designing them in eternal recurrence.
So do Nietzsche's eyes see the simulated life in Anticipation Day as a refusal of fate?
– William James