Wednesday, October 28, 2015
Today has an unusual surge of interesting activity. Most of this is due to a document dump by an independent researcher in Bangalore, who appears to combine some genuine expertise and originality in signal processing and device physics, with a commitment to a traditional cultural synthesis embracing music, metaphysics, and language, and then rounded out with general polymathic speculation.
But there's also just a higher-than-usual density of papers combining geographically diverse origins and professionalism above the vixra average. In particular, this paper on neutrino mixing from China has a quite professional look and exposition - until the author wants to motivate their ansatz for the mixing matrix, and then suddenly there's crazy talk [*] about fractals, Tsallis statistics, and M theory. Also notable is that this newly uploaded paper immediately acquired a comment by "Critic" purporting to explain its error. It makes me wonder if "Critic" is some colleague of the author's, who promised to publicly explain their criticism.
Finally, someone is using vixra to lampoon a notoriously self-promoting critic of modern physics, by writing preprints which assert that his work is vindicated by the most avantgarde trends of the mainstream. The first such paper was just silliness, but today's paper is sophisticated silliness, in that it shows a fluency in contemporary mathematical physics beyond what can be obtained by just copy-pasting snarxiv output. My guess is that the author is at PhD level.
[*] I may write a separate post about this paper.
Friday, August 21, 2015
Friday, July 31, 2015
Today I realized that Brannen's reformulation of the Koide relation can be described as follows: the Brannen mass scale of e,mu,tau is mp/3, and the Brannen phase is 3 * 2/27.
2. If the quark families (b,s,d and u,c,t) are treated as Koide triples, their phases are also (arguably) multiples of 2/27.
There is also a "waterfall" of Koide triples, descending from the top, which alternate between the families. One of these triples - s,c,b - has a Brannen mass of mp, and a Brannen phase of 2/3.
3. In Rivero's sBootstrap, the leptons are superpartners of mesons made of the five light quark flavors, and the quarks themselves are superpartners of diquarks made of those five flavors.
I proposed to interpret this as similar to a Seiberg duality. The primordial theory is like six-flavor QCD with one heavy quark and five massless quarks, and N=1 supersymmetry. The other is the standard model, with the light quark masses, the leptons, and the electroweak sector all emerging from the duality.
The leptons would then be the mesinos of the primordial theory, and the phenomenological quarks would be a mixture of the primordial quarks and the diquarkinos.
4. This suggests a way of thinking about the numerology in 1 & 2.
The primordial fact would be that mp ∝ mt2/27 is already true in the QCD-like theory on one side of the duality. The appearance of mp and 2/27 in standard model numerology is then to be attributed to the duality. 1 comes from the "lepton-mesino duality", and everything in 2 from the "quark-diquarkino self-duality".
Monday, March 30, 2015
Sunday, March 22, 2015
Coincidentally, the Italian net.artist Roberta Betti recently took to tweeting out the text of imaginary papers in mathematics, complete with the typographic mangling produced e.g. by viewing Google's cached copy of such a document. Behold "Canonically Stochastic Fibonacci Spaces Over Matrices", "Existence In Real Logic", and "On the Integrability of Universally Parabolic Lines". Could Betti (aka Stalagmathron) be behind the new vixra paper by "Baruch Seiberg and Claude Witten"? Has someone written a script which generates full-length snarxiv papers? Will vixra now be spammed with cheap machine dada? Time will tell.
edit: @Stalagmathron has disappeared, but some of Betti's earlier work lives on at archive.org.
Friday, September 19, 2014
<ϕ> ~ √2 mt, mt ~ √2 mH
which I was prompted to record, when Andrew Oh-Willeke remarked that
<ϕ> ~ 2 mH
(Where <ϕ>, also often written as v, is the Higgs field "vacuum expectation value".)
Recently a paper appeared on arxiv, noting that first relation, in the form
4 mH2 = 2 mt2 = v2
and Andrew commented that
"I think it is more likely that the observed relationship is really an approximation of the relationships
sum((Fi(^2)=v^2/2 and sum((Bj)^2)=v^2/2 for all fundamental fermion rest masses Fi and fundamental boson rest masses Bj"
which is an aspect of the LC&P sum rule, of which he also says that it is
"quite a bit more profound than the fact that the heaviest fermion by itself accounts for about half of the Higgs vev squared, or that the Higgs mass square accounts for about a quarter of the Higgs vev squared."
I agree that the LC&P sum rule looks to be the fundamental thing here. But there is an interesting final twist which he didn't note.
1. The sum of the squares of all the fundamental particle masses, is approximately the square of the Higgs VEV.
2. The contributions to this total from bosons and fermions are approximately equal. (Given the love of supersymmetry in the particle physics community, it really is remarkable that this isn't visibly being talked about.)
3. The top quark is responsible for the great majority of the fermion contribution, and thus about half of the total.
4. The Higgs boson is responsible for about half the bosonic contribution, and thus about a quarter of the total.
So where does the rest of the bosonic contribution come from? It comes from the W and Z bosons. So we have a fifth fact:
5. The W and Z bosons are responsible for the other half of the bosonic contribution, and thus for the remaining quarter of the total.
If we write this up as an equation, we get
mH2 ~ mW2 + mZ2 ~ 1/2 mt2
The first part of this equation appeared as a blog comment by S. Vik, who is apparently a retired physicist from Wilfrid Laurier University in Canada. At the time I gave it a low probability of being meaningful, but I did record it. It would be ironic if it is yet another genuine clue to what lies beneath the standard model.