Recent content by forkosh

Let ##\mathscr{L_H}## be the usual lattice of subspaces of Hilbert space ##\mathscr{H}##, where for ##p,q\in\mathscr{H}## we write ##p\leq q## iff ##p## is a subspace of ##q##. Then, as discussed by, e.g., Beltrametti&Cassinelli https://books.google.com/books?id=yWoq_MRKAgcC&pg=PA98, this...

If propositions ##p,q\in{\mathscr L}_{\mathcal H}## (i.e., the lattice of subspaces of ##\mathcal H##) are incompatible, then ##\hat p\hat q\neq\hat q\hat p##. But since it's a lattice, there exists a unique glb ##p\wedge q=q\wedge p##. How are they mathematically related? In particular, I...

The von Neumann entropy for an observable can be written ##s=-\sum\lambda\log\lambda##, where the ##\lambda##'s are its eigenvalues. So suppose you have two different pvm observables, say ##A## and ##B##, that both represent the same resolution of the identity, but simply have different...

Okay, so that's more quantitative, but still in agreement with what I qualitatively said. And in disagreement with your earlier epistemic remark about the interpretation of slit probabilities as (your words) "same as the probabilities you assign to a coin" -- re-read your own reference to see...

That (what you said) is the epistemic interpretation. But it doesn't explain self-interference. If the source luminosity is so low that you're guaranteed just one electron at a time through the slits, then the still-observed interference means those individual electrons must each be "going...

Several recent arxiv articles like http://arxiv.org/abs/1409.6290/ reviewing the pbr theorem http://arxiv.org/abs/1111.3328/ got me thinking about this again with respect to straightforward two-slit interference, which I'd thought simply and unambiguously resolved the issue in favor of "it's...