QM could be interpreted in a deterministic way, but this is not a common view. I would like to learn more about it from you and others here on LW.
“Spontaneous” means that something happens without precursor; without any apparent cause. It is orthogonal in meaning to “determined”.
When you write that spontaneous symmetry breaking is deterministic, perhaps you mean that its description is analytic—wholly described by a set of deterministic mathematical equations?
Spontaneous symmetry breaking is part of stat mech. It has practically nothing to do with QM. Stat mech can be interpreted probabilistically, but it is not at all controversial to apply it to deterministic systems.
“Spontaneous” means that something happens without precursor; without any apparent cause. It is orthogonal in meaning to “determined”.
Maybe that’s a reasonable definition, but you contrasted “spontaneous” with “closed,” which is not orthogonal to “determined.”
My point was that true randomness of any kind would be evidence that a system is not closed. This might be a novel observation (I haven’t heard it before) but I think it is a logical one. It is relevant to reductionism (we wouldn’t want supernatural processes swooping down to make choices for our free processes) and whether we are in a simulation.
Spontaneous symmetry breaking is part of stat mech. [...] Stat mech can be interpreted probabilistically, but it is not at all controversial to apply it to deterministic systems.
When applied to deterministic systems, the spontaneous symmetry breaking isn’t really spontaneous, just apparently so. The idea is that the direction of breaking is determined by the initial conditions, but we may not have enough information about the initial conditions to predict it.
Spontaneous symmetry breaking is part of stat mech. It has practically nothing to do with QM.
It sounds like you want like to argue with whoever is responsible for, “spontaneous symmetry breaking in subatomic physics”. I didn’t mention QM apart from that.
QM is deterministic. Spontaneous symmetry breaking also occurs in stat mech, which applies to deterministic classical systems.
QM could be interpreted in a deterministic way, but this is not a common view. I would like to learn more about it from you and others here on LW.
“Spontaneous” means that something happens without precursor; without any apparent cause. It is orthogonal in meaning to “determined”.
When you write that spontaneous symmetry breaking is deterministic, perhaps you mean that its description is analytic—wholly described by a set of deterministic mathematical equations?
Spontaneous symmetry breaking is part of stat mech. It has practically nothing to do with QM. Stat mech can be interpreted probabilistically, but it is not at all controversial to apply it to deterministic systems.
Maybe that’s a reasonable definition, but you contrasted “spontaneous” with “closed,” which is not orthogonal to “determined.”
My point was that true randomness of any kind would be evidence that a system is not closed. This might be a novel observation (I haven’t heard it before) but I think it is a logical one. It is relevant to reductionism (we wouldn’t want supernatural processes swooping down to make choices for our free processes) and whether we are in a simulation.
When applied to deterministic systems, the spontaneous symmetry breaking isn’t really spontaneous, just apparently so. The idea is that the direction of breaking is determined by the initial conditions, but we may not have enough information about the initial conditions to predict it.
It sounds like you want like to argue with whoever is responsible for, “spontaneous symmetry breaking in subatomic physics”. I didn’t mention QM apart from that.