Monday, April 10, 2017

vixra watch: April fools

arxiv sees a few joke papers on April 1st every year. vixra was created as a repository for papers blocked from arxiv. We may now have the first parody paper posted to vixra because it wouldn't survive on arxiv. It's a proposal for an "Un-collider", that not only mocks numerous aspects of contemporary physics culture, but also today's political and geopolitical situation. The authors are "Snowden" and "Ellsberg" (the latter promoted it at "Not Even Wrong"), and it has all the professionalism of a proper arxiv parody paper.

There was another parody uploaded at the same time, on "gauge theology", but it's merely clever, and doesn't have the sting of the Un-collider.

Finally (for now), yet another paper has appeared, promising "a Hodge-theoretic analysis of reinforcement learning". I thought that one might be real - making such a connection is not beyond the reach of vixra authors, or of arxiv authors, or even of reality. But the paper merely reproduces the abstract, which says "we begin with a diagram" illustrating the connections. That there is no diagram, is perhaps a way of saying that there is no connection. Then talk of inducing entropy in an economy makes it sound fake, and the final straw is that it's classified as "Relativity and Cosmology". So, another joke paper; perhaps someone testing the vixra submission procedure.

Tuesday, March 7, 2017

Two problems

There was unexpected progress, posted at Physics Stack Exchange, on two problems that were low on my list.

First, numerology of the charge radius. See my 2017 update: I ran across a model of the nucleon in which the radius is 4 natural units, divided by the mass. That doesn't explain why the radius comes out a little different for muonic hydrogen compared to electronic hydrogen; but it can explain why dandb's ratio is approximately 4 in both cases.

Second, mystery of the Z0 decay width - that it lies on the same curve as a number of mesons. It's one of @arivero's minor observations, and not one that I spent any time on. I was just going through the motions of investigating it, when to my surprise, something turned up.

Friday, February 10, 2017

tHWZ - latest formulation

During a discussion at PF, I found the following interesting way to think of these quantities:

mH ~ √2 mZ
mt ~ 2 mZ
Hvev ~ 2 √2 mZ
mW ~ √7 / 3 mZ

The last one may look a little odd, but it allows us to approximate sin2 of the Weinberg angle as 2/9.

The impetus was a comment by @arivero in which he pointed out that a tHWZ mass estimate due to Hans de Vries implies

(mW2 - mH2) / (mZ2 - mt2) = 3/8

Now in many GUTs, at the GUT scale, we have that

mW2 / mZ2 = 3/8

So it's as if (mW2 - mH2) / (mZ2 - mt2) is almost invariant under renormalization group flow, with mH = mt = 0 at the GUT scale.

We could even speculate that my set of four approximations above is an infrared fixed point. (The approximations are not exact, but one could think of these as valid at tree level.)

Unfortunately I don't see how any of this makes sense in terms of Hans de Vries's original physical hypothesis.

Anyway, I find that the LC&P formula also works neatly using the four approximations. And I would remark again that mZ is very close to the standard model's μ parameter