Just before Peter Weyland leaves to meet his “maker” Vickers tells him if he goes out there, he will die.
Meredith Vickers: If you’re really going down there, you’re going to die.
Peter Weyland: Very negative way of looking at things. Exactly why you should have stayed at home.
Meredith Vickers: Did you really think I was gonna sit in a boardroom for years arguing over who was in charge while you go look for some miracle on some god forsaken rock in the middle of space? A king has his reign, and then he dies. It’s inevitable. That is natural order of things.
“Shade, obey my spells, for I evoke not a soul from gloomy Tartarus, but one which hath gone down thither a little while since, and which is still at the gate of hell.” – Calmet,Augustin. Treatise on the Apparitions of Spirits and on Vampires or Revenants: of Hungary, Moravia, et al. The Complete Volumes I & II. 2016. p. 237.
This is part of the cosmic horror of Eternal Recurrence, also known as Eternal Return.
The belief held in Indian Philosophy and Ancient Egypt dictates that life will inevitably repeat itself, much like the lifecycle of the Xenomorph.
This theme is carried out through all the movies and books, repeated themes and situations reflecting this philosophy are part of the structure of the Alien series.