Book review: How Is Quantum Field Theory Possible? by Sunny Y. Auyang
This book contains some good ideas, but large parts of it are too hard for me to get anything out of, both due to an assumption that the reader knows a good deal about quantum mechanics and due to a style which probably requires rereading most parts multiple times in order to decipher even those parts which don’t require an understanding of quantum mechanics.
I was impressed by her explanation of how we should understand the uncertainty of position and momentum measurements. She says the quantum entities have genuine deterministic properties, but we shouldn’t try to think of position and momentum as properties of any persistent entities. They are properties associated with specific measurements. The properties of persistent entities such as atoms are mostly stranger than what we can measure, and measurements only give us indirect evidence of those properties.
Her descriptions of coordinate systems used in quantum physics seem inconsistent with the impressions I got from Smolin’s Trouble with Physics. Smolin implies (but doesn’t clearly state) that quantum theory retains Newtonian background dependent coordinates. Auyang’s descriptions of quantum coordinate systems seem very different. It’s clear that I’ve only scratched the surface of what’s needed to understand these issues.