Earlier quoted context omitted.
Physicist here. You are right that the mental picture we get when we use the term “particle” is a little ball or something like that. It is unfortunately a confusing name… You need to begin with a field, like the electromagnetic field for instance. When you look at its properties like energy, polarization and so on, in order to write down a state of the field you need to specify all of them in a way or another. In qu…
Also a physicist. It's not quite right to call basis vectors particles, even in a free field theory. The particles correspond better to the creation / ladder operators that take you from one Hamiltonian eigenstate to another. In a perturbative interacting case, people still think of particles as these same ladder operators, but they don't connect eigenstates so simply (the interactions generically mix all the states…
What Is a Particle? (2020)
151–160 of 196 posts
Re: What Is a Particle? (2020)
#152Issues: (1) With Itself: Consider Young's double slit experiment: So, have plane with two slits and some distance away a parallel plane with detectors. (A) Several times, shoot a photon at the slit. Observe that the detection locations form parallel lines, i.e., fringes . (B) Cover one slit, repeat, and observe that the detection locations from a smooth hill without fringes. So, from (A) we conclude that the somethin…
Even though it sounds as though your arguments are gotchas that prove quantum mechanics to be nonsense, it turns out the world really is that way.
Re: What Is a Particle? (2020)
#153Earlier quoted context omitted.
The Universe May Do As It Damned Well Pleases. Maybe it is "made of fields", maybe it isn't, but "I think that's nonsense", which is just a gussied up way of saying "my intuition rejects that", is not a valid judgment method. The universe does not check with our intuition before doing what it Damned Well Pleases.
So you think the universe might be made of, say, subordinate clauses?
I assume you meant that as an obvious absurdity, but if you were going for that you probably should have avoided the concept of "language", which can be Turing Complete. Still, the main point is, whatever it is, it is, and it isn't asking us for permission to be what it is.
Re: What Is a Particle? (2020)
#154Me: Looks up Poincare group
Also me: Oooookay, that makes absolute perfect zero sense to me
Re: What Is a Particle? (2020)
#155Issues: (1) With Itself: Consider Young's double slit experiment: So, have plane with two slits and some distance away a parallel plane with detectors. (A) Several times, shoot a photon at the slit. Observe that the detection locations form parallel lines, i.e., fringes . (B) Cover one slit, repeat, and observe that the detection locations from a smooth hill without fringes. So, from (A) we conclude that the somethin…
You're very close to understanding to quantum eraser experiment / the even more upsetting delayed-choice quantum eraser. Even though it sounds as though your arguments are gotchas that prove quantum mechanics to be nonsense, it turns out the world really is that way. https://en.wikipedia.org/wiki/Delayed-choice_quantum_eraser
Re: What Is a Particle? (2020)
#156> “What is a particle?” > > “An irreducible representation of the Poincaré group,” a precocious classmate answered. Me: Looks up Poincare group Also me: Oooookay, that makes absolute perfect zero sense to me
Re: What Is a Particle? (2020)
#157> “What is a particle?” > > “An irreducible representation of the Poincaré group,” a precocious classmate answered. Me: Looks up Poincare group Also me: Oooookay, that makes absolute perfect zero sense to me
But - again - that is a mathematical construction, which a physical particle is not.
From what I gather, a set of possible transformations is a group in group theory
Physical space is a type of group, i.e. a Poincare group, and is described by the set of all transformations on objects, or something (i.e. motion or lack thereof)
An irreducible poincare group is a tinest example of physical space, i.e. a 'particle'
So although it has no physical space, yet the irreducible Poincare group is intrinsically (but not practically) capable of those same types of transformations within itself as in the larger Poincare group within itself
E.g. a larger object (many particles) can undergo shears and strains, i.e. internal motion. In theory an infinitesimal particle can, it just doesn't have the space to undergo those
I'm inferring from this that a subset of physical space is also a Poincare group?
Re: What Is a Particle? (2020)
#158> “What is a particle?” > > “An irreducible representation of the Poincaré group,” a precocious classmate answered. Me: Looks up Poincare group Also me: Oooookay, that makes absolute perfect zero sense to me
But - again - that is a mathematical construction, which a physical particle is not.
It is interesting to note that (correct me if I'm wrong) perhaps our mathematical constructs are based on a classical intuition and perception of the universe?
And here we are trying to fit that classical intuition into the quantum realm
Perhaps that can be related to why shit gets complicated with particle physics?
Re: What Is a Particle? (2020)
#159Earlier quoted context omitted.
So you think the universe might be made of, say, subordinate clauses?
Whether or is or it isn't, it does it without consulting you or me or our intuitions. I assume you meant that as an obvious absurdity, but if you were going for that you probably should have avoided the concept of "language", which can be Turing Complete. Still, the main point is, whatever it is, it is, and it isn't asking us for permission to be what it is.
Re: What Is a Particle? (2020)
#160Earlier quoted context omitted.
Feynman grapples with the question the same way we would grapple with a question from a child: "why is the sky blue?" If you drill down into the explanation, you ultimately reach a statement that everyone just accepts as true, or you simply end with, "no one knows".
The way Feynman answered it looked extremely condescending and anti curiousity. Being pedantic for no reason. When answering you should try to guesstimate what the asker who is not an expert in your field is looking for and then start explanation relative from there. At certain point, yes, you do have to say that either you don't know or humans haven't figured it out yet.