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Recorded: 2022/11/08 Released: 2022/12/18
Jim talks with Ken Wharton of San Jose State University about how to apply path integrals to situations to entangled particles. Being an equivalent way to compute amplitudes for different experiments, when applied to various experiments, Bell-type correlations, entanglement swapping, delayed choice experiments, and the triangle network, the mathematics gives the same correlations. But, the interpretation of a path integral - a Lorentz covariant description based on local paths - is very different than that of a traditional wave function - a non-local description of the effects of measurements. This leads to a tension in how to interpret entanglement in the first place.
------------------------------------------- Notes:
1. The article that we discussed in this program:
- Wharton, K. and R. Liu, "Entanglement and Path Integrals." Foundations of Physics 53, 23 (2023) [arXiv]
- Tyagi, N. nad K. Wharton, "Spacetime Path Integrals for Entangled Staes." Foundations of Physics 52 9 (2022) [arXiv]
- Wharton, K., "Towards and Realistic Parsing of the Feynman Path Integral." Quanta 5, 1 (2016). [arXiv]
- Price, H. and K. Wharton, "Entanglement Swapping and Action at a Distance." Foundations of Physics, 51 105 (2021) [arXiv]
- Sorkin, R., "Quantum Mechanics as Quantum Measure Theory." Mod. Phys. Lett. 9 3119 (1994) [arXiv].
- Feynman, R. QED: The Strange Theory of Light and Matter. [Amazon] A great, non-technical introduction to quantum electrodynamics, and therefore path integrals. As an undergraduate I found it an inspiring text, and when I ran a book club at Xavier for the physics students, we always had a good time when it came around.
- Griffiths, R., Consistent Quantum Theory. [Amazon]. I have to confess that, although I bought a copy of this book after Randy and I did the episode on Consistent Histories, I have yet to read it.
- Mattuck, R., A Guide to Feynman Diagrams in the Many-Body Problem. [Amazon] This has the pinball-game description the sum-over-histories approach - before getting into the deepest, darkest forest of constructing Green's functions for probability amplitudes. Since it's a Dover book, the first couple of chapters alone are worth the price. Like I said, the transition from the pinball game to the quantum pinball game was a little too much for me as an undergraduate, but after the recording podcast I've been working through it, and it's really not so difficult -- as long as you're up on your basic non-relativistic quantum mechanics. The reason why the it was called "Feynman Diagrams for Idiots" by graduate students and, looking at the preface to the second addition, much worse by reviewers (especially Russian reviewers) is that it has lots of cartoons scattered throughout the book. These are actually jewels, and are a third reason to pick up this book, either at the physics library or the bookstore, not a reason to avoid it.
- Aharanov, A. and D. Rohrlich, Quantum Paradoxes: Quantum Theory for the Perplexed. [Amazon] Randy and I started our first podcast with this book. Partially because of that, I've read it three times, cover-to-cover. The Perimeter Institute gave a conference on the topic in 2016, "Concepts and Paradoxes in a Quantum Universe," which you can view either all contributions or just Aharonov's. I have all the talks on mp3 to play in the car (back when PIRSA allowed you to download the mp3's directly - I'm not bitter about the change [Yes I am]).
- Physics Frontiers 65: Time and Causality.
- Physics Frontiers 46: Wigner's Friend
- Physics Frontiers 44: Spooky Action at a Distance
- Physics Frontiers 33: Retrocausality
- Physics Frontiers 30: The Consistent Histories Interpretation of Quantum Mechanics
- Physics Frontiers 13: Exotic Photon Trajectories in Quantum Mechanics
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