Is the Philosophy of Time Travel a real book? Are there more pages to the Philosophy of Time Travel?

from Movie FAQ – Donnie Darko on Rap Genius

Meaning

No. Director Richard Kelly wrote it during the editing stages of the film and was intending to incorporate it into the original version but time and budget constraints prevented this.

Although the book Dr. Monnitoff gives to Donnie seems to have many pages, only those that are shown on the website and on the DVD were created by Kelly. The Director’s Cut restores the original vision of the pages that Kelly wanted.

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