May 4, 2013
My four recent peer-reviewed papers about Magnetic Monopole Baryons are now all published and online
May 24, 2012
I have started work on physics again this last month after two years “sabbatical.” I am also again working with my friend Andrej Inopin.
In particular, I am touching up a paper that I was working on in 2008 which shows that baryons are simply magnetic charges in a non-Abelian (Yang Mills) gauge theory, and shows how confinement phenomena are a natural outgrowth of the properties of these “magnetic charge baryons.” This paper is linked at:
Now, in returning to this paper after several years, I have always known that my equation (3.5) in the above was a “shortcut” to get to the results afterwards, because it relies upon an analogy from QED and does not fully develop propagators / inverses for Yang-Mills theory.
This is because back in 2008, I did not know how to quantize Yang-Mill theory and obtain exact propagators that embody all of the non-linearity that comes from Yang-Mills. Nobody knew / knows how to do this. That is why people still use perturbation theory even though it breaks up the gauge invariance of Yang-Mills, or use lattice gauge theory even though it breaks up Lorentz symmetry and they have to calculate numerically on computers rather than analytically. These are “compromises” that everybody uses because exact Yang-Mills quantization solutions simply are not known to date.
But in the last several weeks, I returned to this problem that had been a roadblock for me in 2008, and have now solved it! The link below is the current version of a paper I have written in the last two weeks which contains this solution.
Sections 2 and 3 in the above just link replace the “shortcut” of (3.5) in the previous link further up this page. Section 4 shows that the perturbation which is an important object in this theory actually transforms just like a GRAVITATIONAL field. I write this with the view that this is a possible path to non-Abelian quantum gravity, but am reserving judgment on this and would like to hear other views. But what I think is unmistakable is that this shows that gauge transformations in the perturbation — which might be reason to doubt using this perturbation to calculate invariant numbers — are equivalent to no more and no less that plain old general coordinate transformations. In essence, the perturbation combines several dot products which alone are not invariant, but which together, are.
The work in this paper lays the foundation and provides the calculating machinery for solving the “mass gap” problem. I will continue developing this in the week ahead, but I have enough already that I wanted to share.
April 22, 2012
It has been almost 3 years since my last Blog post. Much of my time has been diverted into a condo hotel project in Longboat Key Florida, and the focus I need to do good physics has been impossible to come by. Then, the other day, Ken Tucker, a frequent participant at sci.physics.foundations, emailed me about some new research showing that electrons have constituent substructure. That brought me back immediately to the half a year I spent back in 1986 developing a 200-page paper about a preonic substructure for quarks and leptons, which culminated six years of study from 1980 to 1986. I finished that paper in August 1986, and then took an 18 year hiatus from physics, resuming again in late-2004.
Ken’s email motivated me to dig out this 1986 paper which I manually typed out on an old-fashioned typewriter, scan it into electronic form, and post it here. Links to the various sections of this paper are below. This is the first time I have ever posted this.
Keep in mind that I wrote this in 1986. I tend to study best by writing while I study, and in this case, what I wrote below was my “study document” for Halzen and Martin’s book “Quarks and Leptons” which had just come out in 1984 and was the first book to pull together what we now think of as modern particle physics and the (then, still fairly new) electroweak unification of Weinberg-Salam.
What is in this paper that I still to this day believe is fundamentally important, and has not been given the attention it warrants, is the isospin redundancy between (left-chiral) quarks and leptons. This to me is an absolute indication that these particles have a substructure, so that a neutrino and an up quark both have contain the same “isospin up” preon, and an electron and a down quark both contain the same “isospin down” preon. Section 2.11 below is the key section, if you want to cut to the chase with what I was studying some 26 years ago. I did post about this in February 2008 at https://jayryablon.wordpress.com/2008/02/02/lab-note-4-an-interesting-left-chiral-muliplet-perhaps-indicative-of-preonic-structure-for-fermions/, though that post merely showed a 1988 summary I had assembled based on my work in 1986, at the behest of the late Nimay Mukhopadhyay, who at the time was teaching at RPI and had become a good friend and one of my early sources of encouragement. This is the first time I am posting all of that early up-to-1986 work, in complete detail.
Lest you think me crazy, note that seventeen years later, G. Volovik, in his 2003 book “The Universe in a Helium Droplet,” took a very similar tack, see Figure 12.2 in this excerpt: Volovik Excerpt on Quark and Lepton Preonic Structure.
The other aspect of this 1986 paper that I still feel very strongly about, is taking the Dirac gamma-5 as a fifth-dimension indicator. I know I have been critiqued by technical arguments as to why this should not be taken as a sign of a fifth dimension, but this fits seamlessly with Kaluza Klein which geometrizes the entirely of Maxwell’s theory and is still the best formal unification of classical electromagnetism and gravitation ever developed. For those who maintain skepticism of Kaluza-Klein and ask “show me the fifth dimension,” just look to chirality which is well-established experimentally. Why do we have to assume that this fifth dimension will directly manifest in the same way as space and time, if its effects are definitively observable in the chiral structure of fermions? Beyond this, I remain a very strong proponent of the 5-D Space-Time-Matter Consortium, see http://astro.uwaterloo.ca/~wesson/, which regards matter itself as the most direct manifestation of a fifth physical dimension. Right now, most folks think about 4-D spacetime plus matter. These folks correctly think about 5-D space-time-matter, no separation. And Kaluza-Klein, which historically predated Dirac’s gamma-5, is the underpinning of this.
After my hiatus of the past couple of years, I am going to try in the coming months to write some big-picture materials about physics, which will pull together all I have studied so far in my life. I am thinking of doing a “Physics Time Capsule for 2100” which will try to explore in broad strokes, how I believe physics will be understood at the end of this century, about 88 years from now.
Anyway, here is my entire 1986 paper:
Section 2.4: The Fifth-Dimensional Origin of Left and Right Handed Chiral Projections and the Continuity equation in Five Dimensions: Hermitian Conjugacy, Adjoint Spinors, and the Finite Operators Parity (P) and Axiality (A)
Section 2.5: Conjugate and Transposition Symmetries of the Dirac Equation in Five Dimensions, the Finite Operators for Conjugation (C) and Time Reversal (T), and Abelian Relationships Among C, P, T and A
Section 2.9: Introduction to Isospin Preons in Electroweak Theory: The Preonic Decomposition of Four Real Electroweak Bosons A, W+, W-, Z into Two Complex Preons Denoting “Isospin Up” and “Isospin Down”
Section 2.11: The Four-Preon Flavor SU(4) Unification of the Electromagnetic, Weak and Colorless Strong Interactions Excluding Quantum Gravitation; and the Colorless Flavor Classification of Left Handed Real Fermion and Boson Chiral Projections, for a Single Fermion Generation
Section 2.12: The Four-Preon Flavor SU(4)xU(1) Unification of Electromagnetic, Weak, Colorless Strong and Quantum Gravitational Interactions; and the Colorless Flavor Classification of Left and Right Handed Real Fermion and Boson Chiral Projections, for a Single Fermion Generation
Section 2.13: The Six-Preon Unification of Flavor SU(4)xU(1) with High Energy Color SU(4)xU(1) and Two Overlapping Degrees of Freedom; the Flavor and Color Classification of Real Fermions and Vector Bosons for a Single Generation; and the Derivation of Electroweak and Strong/Hyperweak Massless and Massive Neutral Current Vector Bosons
Section 2.14: On the Replication of Fermion Generations: Four Generational Grand Unification with Eighteen Preons and Nine Independent Flavor/Color/Generation Degrees of Freedom, and a Preonic Discussion of Mesons and Meson Decay
December 11, 2008
It has been awhile since I last posted and it is good to be back.
Almost two years ago in the course of my work on Yang Mills, I came across what I believe is an approach by which mass spectrum of the massive mesons of QCD might be understood. I had what I still believe is the right concept, and many of the pieces, but I could not figure out the right execution of the concept in complete detail. Over the past year and a half I walked away from this to let the dust settle and to also arrive at a place where the basic principles of quantum field theory were no longer “new” to me but had become somewhat ingrained. Now, I believe I have found the right way to execute this concept, and the results are intriguing.
In the file linked below, which I will update on a regular basis in the coming days:
I review how mass is known to be generated in SU(2), as a template for considering SU(3) QCD. I have tried to explain as simply as possible, what I believe to be the origin of QCD meson masses, as well as to lay the foundation for theoretically predicting these. Keep in mind, finding out how the vector mesons of QCD obtain their non-zero masses, which make the QCD interaction short range despite supposedly-massless gluons, is one aspect of the so-called “mass gap” problem, see point 1) on page 3 of
Then, I extend this development, in detail, to SU(3).
Several interesting results are already here:
1) This approach neatly solves the problem of propagator poles (infinities) in a manner which I believe has not heretofore been discovered. Goodbye to the +i\eta prescription, off mass-shell particles, and other inelegant dodges to achieve a finite propagator.
2) This approach may solve the confinement and the mass gap problems simultaneously. It is important to understand that electroweak SU(2)xU(1) is a special case in which the gauge bosons are synonymous with the observed vector mesons, but that in SU(3) and higher order theories they are not. The gauge bosons aka gluons, which show up in the Lagrangian, are not observed. What is observed are the vector mesons which pass through to the denominator of the propagator in the invariant amplitude.
3) There emerges is a quantum number that is restricted to three discrete values, and depending on which value of chosen, all the meson masses are scaled up or down on a wholesale basis. I believe that this may resolve the problem of generation replication.
I expect to be churning out mass calculations in the next day or two. You may wish to check out the meson mass tables at http://pdg.lbl.gov/2008/tables/rpp2008-qtab-mesons.pdf, because that table contains the data which I am going to try to fit to equation (6.1), via (6.5).
Hope you enjoy!
February 7, 2008
This lab note will be brief.
On April 28, 2007, I posted a paper which went from baryons and confinement to strings to particle phenomenology to atomic physics and deuterons and a whole range of phenomenology including fermion generation replication which appeared to lend itself to a common, underlying explanation based on the work I have previously discussed with respect to baryons and confinement in particular. The underlying thread throughout, is to connect spacetime symmetry to internal symmetry using the Pauli fermionic exclusion principle. I am afraid, however, that this paper may have been buried amidst all of the other postings, so I want to specifically call it to your attention, at the link below:
In the spirit of “Lab Notes” which are a scientific diary of theoretical explorations, I ask you in particular to look at the second half of this paper, starting at section 6. In football, there is something known as a “Hail Mary” pass where the quarterback throws the ball all the way down the field hoping for a touchdown. The second half of the above paper is just that. While certainly speculative, it seems to me that this ties together a very diverse range of observable phenomenology which has not previously been tied together. It is probably the most audacious piece of physics writing I have done, and I don’t want it to get lost in the shuffle.
So, if nothing comes of it, so be it. But, it may well be that someone in the end zone will catch this long pass, and physics will come to rest in a different place from where it rests today. That is why it is so important to take good lab notes!