Math

Learning Path for String Theory and Twistor Theory

1. Everything is Now: Revolutionary Ideas from String Theory by Bill Spence

Comment: A very good book for beginners. very new and short, pressed in 2020 with only 80 pages. It’s a quick and clear recap for the revolutions of String Theory from initial motivation to the latest development and achievements. With very few formulas but delivered very clear ideas of the subject. Covering an introduction to Penrose’s Twistor Theory.

2. Penrose’s presentation on Twistor Theory (ox.ac.uk)

Comment: no comment, the honor to study from Sir Penrose directly.

3. Twistor Theory (universe-review.ca)

Comment: A short and clear review from 3rd person angel on the Twistor Theory.

4. The Road to Reality: A Complete Guide to the Laws of the Universe by Roger Penrose

Comment: As titled, It’s a systematical book to introduce the mathematics covering from Complex numbers, Geometry and Group theory, up to Relativity Theory, Quantum Mechanic, Cosmology, String Theory and the Twistor Theory. Just the best learning path directly provided by Sir Penrose, the genius Nobel Prize winner. There’s a brilliant Book Club for studying the book. Join Here in the Discord App.

Update: Book exercises solutions shared in another blog post: Penrose – Road To Reality Exercises Solutions PDF Download

5. Fashion, Faith, and Fantasy in the New Physics of the Universe by Roger Penrose

Comment: With the critical thinking on the other historical String Theories, Penrose gradually introduce his ideas on the broaden topics around his studies. A supplementary and more updated book to cover Penrose’s ideas.


To be continued. Any further study suggestions or discussions welcomed!