He described it as a curious and speculative piece that examined the relationship between astronomy and astrology, and the links between mathematical patterns and human nature.
"It's beautifully written," said Thompson.
"It's some of the research behind The Luminaries that she pulled into the essay."
But unlike the 832-page tome, this book would be considerably shorter at 50 pages.
Thompson said he was still in talks with one of the country's premier artists to illustrate the text.
The book would be published by a high-end boutique publishing house and distributed internationally.
The print run would be strictly limited to a single edition and would not be cheap.
Thompson said its release this year was to be timed to cash in on the lucrative Christmas market.
All profits from sales of the book would be used to raise funds for the faculty to get into publishing, he said.
Catton is the youngest winner of the Man Booker award.
The Luminaries was the country's top-selling book last year and is on track to be the best-selling work this year too, according to Nielsen.