It doesn't matter if you accept it or not. The notion of locality in local QFT is not strong enough to allow the deduction of indeterminism from the violation of Bell's inequality. You would also need to eliminate the non-local nature of the state space in addition to asserting the locality of...
Again, you're totally missing the point. I've never said anything about Coulomb fields or Newtonian gravity. I'm arguing that you can formulate a local Hamiltonian and still have the non-locality that is relevant for the Bell inequalities. Bell's argument is also entirely independent of such...
I'm afraid you're missing the point here. I explicitly stated that you have to use a Hamiltonian generating only local interactions. The point is that the locality of the theory, in the same sense you call QFT local, depends on the interactions, whereas the locality relevant for the Bell...
QFT is just as local as ordinary QT with a Hamiltonian generating only local interactions. The non-locality of quantum theories is facilitated by the non-local construction of the state space that allows remotely entangled states. QFT has spatially separated Bell-states, so it's non-local in...
I really don't understand how the misconception that it's meaningful to assign units to wavefunctions is still around. I remember having the exact same argument on this board maybe 10 years ago.
Quantum state wavefunctions are agnostic regarding any choice of unit or dimension. The dimensional...
It is clearly important for theorists working on the foundations of physics to know and understand the philosophical model with its assumptions that allows the formulation of physical theories. However, I don't think the model you have specifically presented as a tool for framing quantum theory...
You seem to be claiming that this ##X## operator is identical to ##x## and therefore the results should match. Well, that's wrong. You can get away with not including energy=0, but you forgot the cross terms too. If you split up a space into two complementary subspaces with the corresponding...
I think this argument is very misleading. It is true that you cannot macroscopically distinguish thermal radiation if it has the same temperature. But that has nothing to do with the information that is conserved in unitary evolution. The thermal radiation has a microstate that contains an...
There are two main mathematical structures that you should look into. The first one is that of transformations of the system described by Lie groups and the corresponding Lie algebras. The Poisson brackets and commutators form the product of the Lie algebra, the so called Lie bracket.
The...
Sorry for the late response, I was quite busy.
I don't quite see what you mean with this. First of all, if you have a reflection, then it's not specific to one operator but acts like a reflection on all operators. And secondly, \sigma_1\sigma_2 is a rotation by the way it transforms. So I...
Ok, I understand now where your confusion comes from. The spin vector is the Hodge dual of the spin bivector. That means the basis vectors used to expand the spin vector in are vectors, not bivectors. Let me give you an example.
Consider the exterior algebra ##\Lambda(\mathbb{R}^3)## with a...
Can you define the objects you refer to more precisely? In exterior algebra / geometric algebra there are no such things as polar or axial vectors to start with, only multivectors (and their Hodge duals). So I think what you claim is probably based on a misunderstanding of the algebraic...
Superselection means that some form of physical constraint is imposed on the general structure of observables on the Hilbert space.
As an example, the geometry of spacetime implies that rotating a system by one full cycle must not change any properties of the system. The double cover...
I believe at the core of this "coincidence" lies the interesting connection between the ladder operator algebra and the Heisenberg algebra of canonical conjugate observables. This connection seems to be very fundamental and is usually studied in the context of supersymmetry and the...