Recent content by mitchell porter

Meanwhile, AI has also pointed out to me "The exact column texture: tree-level Yukawa universality in heterotic Z_3 x Z_3 orbifolds" (Navid Ardakanian) which claims (section 8.3) that up-quark and down-quark yukawa matrices in this class of models are, in a first approximation...

I wondered what this is and found an older comment from you https://www.physicsforums.com/threads/is-the-near-integer-muon-to-electron-mass-ratio-a-coincidence-or-significant.1058414/#post-6979218 AI suggests you are combining "“A New Approach to the Electron-Muon Mass Ratio" (and successor...

In "Fermion mass relations in one-parameter modular models", page 18, we are given an ansatz m_e : m_µ : m_τ = 4√2 ϵ^6 : 2 ϵ^2 : 1 Is this like any of the rewritten forms of Koide?

π/12 appears as part of a formula for a Koide phase in the neutral leptons (see Brannen's "Koide Mass Formula for Neutrinos"), not charged leptons. The phase for the latter is 2/9 radians (no appearance of π). The neutrino masses are not known with great precision and so there is no empirical...

It's standard MOND lore that MOND doesn't quite work for galaxy clusters - it has its own "missing mass" problem, or need for dark matter, on the cluster scale. This paper is actually extending that result to an even bigger, inter-cluster scale. So one way to maintain MOND is to say that there...

Neither author has prior work on Koide that I can see. Hübner did some QCD and thus he knows QFT topics like renormalization schemes. Shulga worked on qubits from a physical rather than computational perspective (e.g. superconducting qubits), and maybe something there inspired his mechanism. But...

Two papers about Koide in today's hep-ph update. "A minimization theorem for the Koide ratio and its Standard Model calibration" (K. Hübner) This is about extending the Koide relationship to more than three masses at once, and claims that the charm quark mass scores well as a fourth mass...

If Claude has done its math correctly, the circulant for the sqrt-masses of the down-type quarks has a phase very close to 1/9 radians, i.e. exactly half of the Brannen phase for the charged leptons. One other detail has to change - in the latter circulant, all the off-diagonal elements are...

@CarlB gets the sqrt-masses as eigenvalues of a circulant, and the inverse of a circulant is also a circulant. We should figure out the Brannen phase of this down-type circulant...

Is there any class of mass matrix that naturally gives such a relationship?

https://www.maths.usyd.edu.au/u/athomas/FunctionalAnalysis/daners-functional-analysis-2017.pdf Corollary 18.7 btw I tested the ubiquity of this result by googling "functional analysis textbook" and looking for it in the textbooks that had online copies. I found it in the third online textbook...

There are some recommendations here https://imaginarypotential.wordpress.com/2008/03/19/susy-qcdseiberg-duality-reading-list/ I used to rely on the start of Strassler for the basics. Seiberg-Witten theory is a whole different thing! Seiberg duality is to a large extent about anomaly...

It's in the textbooks that all infinite-dimensional separable Hilbert spaces are isomorphic. They have the same countable infinity of dimensions, and that's it. You have to add extra structure, like singling out a specific family of automorphisms of the Hilbert space, to get a representation of...

Are you familiar with how quantum field theory is developed in textbooks? In a classical field theory, a field has a value at every point in space, and there is also a conjugate field momentum (rate of change of the field) at every point in space. In a quantum theory, via the correspondence...

I have understood a small part of what Trifonov is doing, and I'll describe it here so people can see how weird or imaginative it is. In ordinary quantum mechanics, you have a Hilbert space in which everything is complex-valued, and the physical states correspond to the "rays" in Hilbert space...