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Recorded: 2022/01/18
Released: 2022/04/24
Jim discusses Gleason's Theorem with Blake C. Stacey of the University of Massachuesetts - Boston. Gleason's Theorem is a theorem in the foundations of quantum mechanics that, for a system meets some simple requirements, you can find a set of valid staes and a rule for calculating probailities, a la the Born Rule. This is the first part of the interview, the next will be on Blake's discussion of how people are trying to reformulate the Born Rule.
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Notes:
1. Papers we both read for this program:
2. This series:
- Physics Frontiers 63: Gleason's Theorem.
- Physics Frontiers 64: Whence Born's Rule?
- Physics Frontiers 64a: The SICs [Subscribers only until 5/27/2022]
3. Blake Stacey's Book:
- Blake Stacey has written a book A First Course in the Sporatic SICs [Amazon]. This book details the use of the strange numbers that Blake and others are using to integrate learning from quantum information theory into quantum foundations. C'mon, it has a section entitled "Quantum Theory from Nonclassical Probability Meshing" -- you have to have it!
4. Related Episodes of Physics Frontiers:
5. Please visit and comment on our subreddit, YouTube Channel and if you can help us keep this going by contributing to our Patreon, we'd be grateful.
Recorded: 2022/01/18
Released: 2022/03/20
Jim discusses Gleason's Theorem with Blake C. Stacey of the University of Massachuesetts - Boston. Gleason's Theorem is a theorem in the foundations of quantum mechanics that, for a system meets some simple requirements, you can find a set of valid staes and a rule for calculating probailities, a la the Born Rule. This is the first part of the interview, the next will be on Blake's discussion of how people are trying to reformulate the Born Rule.
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Notes:
1. Papers we both read for this program:
- Gleason, A.M., "Measures on the Closed Subspaces of a Hilbert Space." Indiana Univ. Math. J. 6, 855 (1957). [arXiv]
- Stacey, B., "On Two Recent Approaches to the Born Rule." (2021) [arXiv]
- Busch, P., "Quantum States and Generalized Observables: A Simple Proof of Gleason’s Theorem." Phys. Rev. Lett. 91, 120403 (2003) [arXiv]
- Hossenfelder, S., "Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements" Found. Phys. 34 193 (2004). [arXiv]
2. Other papers one or the other of us read:
3. Books mentioned in the discussion:
- David W. Cohen, An Introduction to Hilbert Space and Quantum Mechanics[Amazon] The book I found in a college book store in the 1990's. Short, written for mathemtics undergraduate students (at the upper division, high-end SLAC level), but also accessible to philosophy and physics students who can read math. Video review here.
- John von Neumann, Mathematical Foundations of Quantum Mechanics[Amazon] A classic text that started a lot of this quantum philosophy nonsense in the first place. Very difficult read.
- Michaal Neilson and Isaac Chuang, Quantum Computation and Quantum Information.[Amazon] An early, well known book on quantum information. This is one of three technical books that I've had to replace because my original copy wandered off with a graduate student to postdocs unknown.
- John Bell, Speakable and Unspeakable in Quantum Mechanics. [Amazon]
This is a collection of essays by John Bell, some of which are very important, and others of which you might not think are important until you start reading the philosophy of physics literature. Blake mentioned two papers that I think are in this volume. One is "On the Einstein-Poldosky-Rosen Paradox," which was originally published in the small jounal below.
4. Physics-Physique-Fisika, the journal Blake Stacey mentioned in our discussion.
5. Related Episodes of Physics Frontiers:
6. Please visit and comment on our subreddit, YouTube Channel and if you can help us keep this going by contributing to our Patreon, we'd be grateful.
Recorded: 2021/08/08
Released: 2022/02/13
Randy and Jim discuss first order corrections to special relativity in light of quantum gravity: deformed special relativity. What should happen to space time if a minimum length scale is introduced to special relativity?
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Notes:
1. Papers we both read for this program:
- Amelino-Camelia, G., L. Friedel, J. Kowalski-Gikman, and L. Smolin, "The Principle of Relative Locality." Phys Rev. D 84, 084010 (2011). [arXiv]
- Hossenfelder, S., "The Box Problem in Deformed Special Relativity." (2009) [arXiv]
- Smolin, L., "Classical Paradoxes of Locality and Their Resolution in Deformed Special Relativity." Gen Relativ Gravit, 3671 (2011) [arXiv]
- Hossenfelder, S., "Comments on Nonlocality in Deformed Special Relativity" Phys Rev D 95> 084034 (2010). [arXiv]
2. Other papers one or the other of us read:
3. Related Episodes of Physics Frontiers:
4. Randy's obituary and my Patreon post on his death.
5. Please visit and comment on our subreddit, YouTube Channel and if you can help us keep this going by contributing to our Patreon, we'd be grateful.
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Recorded: 2021/06/10
Released: 2021/10/31
Randy and Jim discuss various proposals for objects that mimic black holes. Most of these are based on physics that disallows an infinitely dense point at the center of the black hole, such as string theory or loop quantum gravity, and some include very exotic matter.
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Notes:
1. Papers we both read for this program:
- Nikitin, I., "On Dark Stars, Planck Cores, and the Nature of Dark Matter ." BLED Proc. 23rd Wkshp. 1, 221 (2021) [arXiv]
- Visser, M., C. Barcelo, S. Liberati, and S. Sonego, "ISmall, Dark and Heavy: But Is It a Black Hole?." PoS BHs, GRandStrings 2008, 105009 (2008) [arXiv]
- Holdom, B. and J. Ren, "Not Quite a Black Hole." Phys Rev D 95> 084034 (2017). [arXiv]
2. Other papers one or the other of us read:
- Nikitin, I. "RDM-Stars and Galactic Rotation Curves." 2021 J. Phys. Conf. Series (2021) [arXiv]
3. Related Episodes of Physics Frontiers:
4. Please visit and comment on our subreddit, YouTube Channel and if you can help us keep this going by contributing to our Patreon, we'd be grateful.
Recorded: 2021/03/25
Released: 2021/09/12
Randy tells Jim about solutions in general relativity that allow for isolated bubbles of spacetime that could, possibly, travel faster than light.
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Notes:
1. Papers we both read for this program:
2. Other papers one or the other of us read:
3. Related Episodes of Physics Frontiers:
Physics Frontiers 6: General Relativity for the Experimentalist
4. Please visit and comment on our subreddit, YouTube Channel and if you can help us keep this going by contributing to our Patreon, we'd be grateful.
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