Recent content by Peter Morgan
-
A question about quantum entanglement
Classical measurement theory in the presence of thermal noise can and should include contextuality as noncommutativity, because it's a useful tool for describing multiple complex experiments. Without noncommutativity, Classical measurement theory is straw-manned relative to quantum measurement...- Peter Morgan
- Post #32
- Forum: Quantum Interpretations and Foundations
-
A question about quantum entanglement
I wouldn't want to claim that the following is an 'underlying "explanation" for the non-locality', but quantum nonlocality can be thought of as similar enough to thermal nonlocality that I think they are only at a similar level of concern. [Also @bhobba.] For a random field generally, there are...- Peter Morgan
- Post #29
- Forum: Quantum Interpretations and Foundations
-
A question about quantum entanglement
Art Hobson's "Fields and Their Quanta: Making Sense of Quantum Foundations" and his previous work, going back decades, has always seemed a little strange to me insofar as he advocates strongly for field theory but also talks a lot about particles. Although it can be helpful in elementary cases...- Peter Morgan
- Post #15
- Forum: Quantum Interpretations and Foundations
-
A question about quantum entanglement
For a field theory, there are, in the first instance, no particles to be entangled. The idea that each record of an event in a detector must be caused by a particle is sufficiently problematic that it ought not to be axiom #1 for QM (as a Hilbert space~a 'system', largely unchanged since von...- Peter Morgan
- Post #13
- Forum: Quantum Interpretations and Foundations
-
Graduate Obtaining NRQM from QFT: Issues, Folklores and Facts by Padmanabhan
There is no concept of a particle in axiomatic forms of QFT. We can add Wigner's definition of particles in terms of unitary irreducible representations of the Poincaré group, but that is far from the definition of a 'system' in von Neumann's axioms for NRQM, which are still closely followed in...- Peter Morgan
- Post #4
- Forum: Quantum Interpretations and Foundations
-
Graduate Obtaining NRQM from QFT: Issues, Folklores and Facts by Padmanabhan
A quick note that the published version in Eur Phys J C 2018 is OA, https://doi.org/10.1140/epjc/s10052-018-6039-y- Peter Morgan
- Post #2
- Forum: Quantum Interpretations and Foundations
-
Undergrad On computing quantum waves exactly from classical action
Also of interest is an article in MIT News and that someone on 𝕏 pointed out that a preprint by Frank J Tipler is somewhat similar (I communicated a link to Tipler's article and a version of what follows to the corresponding author, Slotine, yesterday). I think of this article in ProcRoySocA as...- Peter Morgan
- Post #4
- Forum: Quantum Interpretations and Foundations
-
Graduate Exploring Implicit Assumptions and Foundations of Quantum Mechanics
In axiomatic approaches to Quantum Field Theory, which I think any attempt to understand quantum theory will eventually have to engage with, it's commonly the algebra of operators and the states that are taken to be fundamental. That's approximately what you have in your first set of three...- Peter Morgan
- Post #2
- Forum: Quantum Interpretations and Foundations
-
Undergrad Sean Carroll's description of the Many Worlds interpretation
In that book, Sean Carroll specifically focuses on Quantum Field Theory, with MWI as a side hustle. There are multiple ways to approach MWI, but, in a very idealized way, we can think of QFT as aiming or claiming to describe everything, so there is no room in its world for measurements from...- Peter Morgan
- Post #5
- Forum: Quantum Interpretations and Foundations
-
Graduate Alternative model for counterfactual definiteness in Bohm-like EPR
It's Gregor Weihs's experiment from the mid-1990s, demonstrating a violation of a Bell-CHSH inequality, which is closely related to Bohm's version of EPR (except that it's for photons, not for fermions.) On arXiv, with a link there to PRL, that's "Violation of Bell's inequality under strict...- Peter Morgan
- Post #4
- Forum: Quantum Interpretations and Foundations
-
Graduate Alternative model for counterfactual definiteness in Bohm-like EPR
Concerning 3), even if there no dependencies of the controlled settings in the apparatus (which we can verify because we have a list of the binary values that were used, to which we can apply statistical tests), there will be dependencies between uncontrolled degrees of freedom of the two...- Peter Morgan
- Post #2
- Forum: Quantum Interpretations and Foundations
-
Undergrad One does not “prove” the basic principles of Quantum Mechanics
The fundamental principles of QFT, however, include many measurement operators that can be constructed by smearing the measurement operator-valued distributions that are in the axioms, then there is a single state that tells us the expected statistics for any measurement procedure that...- Peter Morgan
- Post #56
- Forum: Quantum Interpretations and Foundations
-
Undergrad One does not “prove” the basic principles of Quantum Mechanics
Put in an extreme instrumental form, I think "The ultimate test for a model is the agreement of its predictions with experiments" requires QM to allow us to compute expected relative frequencies for datasets we will collect, which we will compare with actual relative frequencies for those...- Peter Morgan
- Post #39
- Forum: Quantum Interpretations and Foundations
-
Undergrad One does not “prove” the basic principles of Quantum Mechanics
But note what I call Hegerfeldt nonlocality, for which I find arXiv:quant-ph/9806036 and arXiv:quant-ph/9809030 helpfully short and clear. If there is a projection to positive frequency (positive energy, given the correspondence principle), then analyticity ensures that a wave function that is...- Peter Morgan
- Post #38
- Forum: Quantum Interpretations and Foundations
-
Undergrad A Dataset & Signal Analysis Interpretation of Quantum Mechanics
On May 18th, I presented a Colloquium for the School of Engineering and Physical Sciences at North South University, Dhaka, Bangladesh, with the title "A Dataset & Signal Analysis Interpretation of Quantum Mechanics", by Zoom. I attach a PDF of the slides and the YouTube video is here. I am...- Peter Morgan
- Thread
- Classical mechanics Data analysis Quantum field theory Quantum mechanics Signal analysis
- Replies: 0
- Forum: Quantum Interpretations and Foundations