@BernardoMeurer Newtonian mechanics, strictly speaking, is wrong yet we have many answers relying on it and nobody thinks something should be done about that
@BernardoMeurer Note that, since our current theories match our observations, every "new" theory must necessarily have some sort of limit in which they become the old theory. "Entirely new" theories cannot arise; science is an incremental effort.
@AccidentalFourierTransform If you look at the other answers, she wanted to add something to her own answer and accidentally added it to another answer
@ACuriousMind the potential energy of the scalar is given as $V(\phi)=\Lambda\cos\phi/\mu$
so it is real
I wrote an email to my professor asking how could a scalar couple to the photon without breaking gauge invariance
and he told me that the coupling $\phi F_{\mu\nu}F^{\mu\nu}$ is gauge invariant
but then I told him that such a term has vertices with four photons and one scalar, and therefore the process $\gamma\gamma\to\phi\phi$ has no tree-level amplitudes
and then he told me that the vertex has two photons and one scalar, and that the diagram is indeed a tree diagram
But I'm not sure why they think the vertex should be scalar-photon-photon. By minimal coupling, the coupling should be scalar-scalar-photon-photon from the $D_\mu\phi D^\mu\phi$ kinetic term.
To me, the idea that the squeezed state cooling can "in principle go to arbitrarily low temperature" is an irresponsible and even foolish statement in a scientific context.
Good points on both ends. I was nitpicking about their use of language, but you're right that it isn't definite that there's no theoretical limit on squeeze cooling.
I'm hypersensitive to this because a few years ago there was a big mystery in my fiend about why the quantum state measurement in superconducting qubits failed in a particular way.
Everyone was confused because the theory predicted that the state measurement should not fail. I got involved and eventually figured out what was going on, and it turned out that two of the major assumptions of the theory were just flat out wrong in the limit people we trying to apply that theory!
Having experienced that, I strongly dislike statements about things working arbitrarily well in principle. Those statements are just lazy and kind of dishonest.
Speaking of fluid dynamics, if you glue a petri dish to a bass driver hooked up to a cheap two channel amp and strap a ring of LED tape around the edge of the petri dish, fill it with silicon, and get the frequency of the LEDs slightly out of phase with the correct frequency of the bass driver...
you have a ~$60 demonstration of quantum behavior that's visible to the naked eye ;)
Not that it's actually caused by quantum behavior. It just looks eerily like it.
Hi guys, can someone advice me what subjects to pick in my Master's degree, I want to work in Quantum Mechanics, what would you advice me, besides grabbing all the QM I can ofc xD ?
I needed 3 major joints reconstructed because Ehlers-Danlos Syndrome. Also, was diagnosed with epilepsy, Hashimoto's, and a genetic immunodeficiency... so I've been out since 2013.
@AccidentalFourierTransform I don't that that's a "chronic illness" :P Faking any of the illnesses you can get the prescription for is probably harder and more expensive that just buying from you local dealer :P
@AccidentalFourierTransform hmm? Yes, they should, otherwise that's a pretty recursive formula :D
@Kelthar Just...learn quantum mechanics well and thoroughly first, please. I see far too many questions on this site from people trying to learn something about quantum computing without actually learning QM
@ACuriousMind One of my girlfriends recently asked me a bunch of questions about time. I almost taught her what K-space is before I realized her eyes had glazed over.
k-space is a formalism widely used in magnetic resonance imaging introduced in 1979 by Likes and in 1983 by Ljunggren and Twieg.
In MRI physics, k-space is the 2D or 3D Fourier transform of the MR image measured. Its complex values are sampled during an MR measurement, in a premeditated scheme controlled by a pulse sequence, i.e. an accurately timed sequence of radiofrequency and gradient pulses. In practice, k-space often refers to the temporary image space, usually a matrix, in which data from digitized MR signals are stored during data acquisition. When k-space is full (at the end of the scan...
That reminds me of analysis. My introduction to analysis class was taught from the framework of metric spaces, which none of us had ever encountered before (professor was delusional).
During one lecture about open balls vs closed balls, someone had the audacity to ask him, "so, essentially, if I threw an open ball at your face, it wouldn't hit you?"
Analysis from the perspective of metric spaces is fondly remembered as the math class where our lecture board looked more like a Jackson Pollock crossed with a Picasso.
@ACuriousMind I got lost in that world long ago, when I had to prove the existence of numbers as an initial homework assignment. Maths professors are jerks sometimes.
It's amazing that some people actually manage to learn enough about what a quantum state and unitary transformation is that they do understand quantum algorithms, even though they've never seen a Hamiltonian.
This is a problem though, because they have no idea how to implement the unitaries they want for their algorithm.
This is a problem in my field. Proposing beautiful quantum algorithms is fine but it's a lot more impactful to propose one that the experimentalists can actually run.
@DanielSank ! Someone told me you have something to do with quantum computing field! I want to work in that as well... Could you advice me on some important yet not so obvious subjects to learn for this?