Classically, you have objects o

_{1}, o_{2}, .... and each object o_{i}has properties*p*_{ij}. Each property has a value (or at least a magnitude). In quantum mechanics, the situation is different.If you have an "object" like an electron, it doesn't have a value for a would-be property (Kochen-Specker theorem), even if that property's value is measurable/observable. But you can't have objects that have no properties. Nevertheless,

*something*(at least related to the electron) must exist.Happily, that something does, in fact, have at least the "property" of obeying Schroedinger's equation (if I interpret Auyang,

*How is Quantum Field Theory Possible*correctly). Apparently, this property is a property 'only up to probability' or 'modulo probability' or whatever you want to call it. I don't know if all such properties are.I would add that Auyang's property is of a vector in a Hilbert Space

*H*.*H*is given in the terms/coordinates of a particular measuring apparatus. Thus a third quantum system*w*(for Wigner) must be able to represent the electron+apparatus system (which generally has more properties than the properties of the electron union the properties of the apparatus) in*its*terms/coordinates. This is because there is no preferred system, ontologically, among the various quantum systems.What's the group(-oid?)(??) of transformations specifiable-up-to-probability among the various systems? What kind of network do they form?

## No comments:

## Post a Comment