I'm assuming there are liberties with the exact words here specifically the phrase "solves everything".
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These ratios are theoretical and by math, are correct (sound follows the sciences of physics and math). However, for practical purposes, they are merely a starting point to designing a space.
Try using the golden ratio in a stereo setup in a basic rectangular room. It works quite well to define the sweet spot!
I don't think it's an understatement to say that Mr. Toole is disapproving of stereo. From my own experience, I prefer listening to stereo upmixed to DD 5.1 if given the choice.
But he literally spends 3 pages and several figures gushing about his omnidirectional Mirage M1's. I swear he was channeling Mojo and his LFR1100's.
Room ratios are fine if you're dealing with single frequencies and their harmonics (eg. 20/40/80/160 Hz or 30/60/90/120 Hz). Except music is from 20 Hz to 20 kHz, and we don't sit in the corner of a room listening to a mono loudspeaker sitting in another corner. So they're not a magic bullet, and you can still have good sound in a square room.
