Yablon wrote:In a new draft of my paper linked at
https://jayryablon.files.wordpress.com/ ... ll-1-7.pdf, I have started to detail how I am doing this. You will see how I am using orientation-entanglement-twist to lay a topological foundation for atomic and nuclear structure, which I will then seek to have experimentally validated using FQHE because in superconducting states at low temperatures under large magnetic fields we can get the electrons to cough up these secrets of how they structure into atomic shells. READ SECTION 5 IN PARTICULAR. IMHO, this is a blockbuster.
Dear friends:
Today was my most intensive day of scientific discovery in months, and it yielded possibly the most important and fundamental breakthrough I have ever made: I now understand how to explain quantum physics on a totally topological basis. This will probably take a week to ten days to write up properly. But as has always been the case in the past when I come upon something brand new, I am totally wired and will be racing myself to get this down on paper. This builds on the orientation-entanglement-twist (OET) results in section 5 of
https://jayryablon.files.wordpress.com/ ... ll-1-7.pdf referenced above, now also at
http://vixra.org/pdf/1412.0160v1.pdf.
First, let me show you a photograph of the topology of an electron, or any other Dirac spinor. Here:
https://jayryablon.files.wordpress.com/ ... spinor.jpg. Electrons are not strings, but they are
rings with twist. The outer ring in the photo is made with a ribbon, the inner one is made with a rubber band. They are just two different models of the same thing. Both are stapled at two ends and then twisted through once. The left and right hemispheres (hemi-rings) represent both the left and right helicity states of a spinor. As a nod to Joy Christian and EPR, I will name the left half-ring Alice and the right half-ring Bob. When we observe an electron, we are observing a portion of one half or the other, not both. But it is like touching two different parts of the same elephant. Each half is always an opposite-helicity version of the other half. Sometimes the halves get entangled, and sometime they get more twists, and these menu of possible topologies match 100% perfectly the the quantized electronic structure n, l, m, s of atoms. And there are also certain manipulations which produce supersymmetry which has never been my top subject priority but now has some of my attention.
By then subjecting these to various entangling rotations and then untangling the two halves, I can model with perfect fit, totally from topology, every single n, l, m and s electron state in the periodic table, every proton and neutron state in the nuclear table, and the QHFE which got me into this the first place. And it gives me a tool to discuss EPR and Alice and Bob with some semblance of sanity. I basically started from the above section 5 results which topologically tracked orbital angular momentum L, reminded myself that what is conserved hence observable is total angular momentum J=L+S because that commutes with the Dirac Hamiltonian [H,J]=0, and so decided to topologically develop spin 1/2 which was needed anyway for other reasons because the FQHE denominators are always odd. (Think of it this way: the odd integers o=2l+1 where l is any integer. Multiply through by 1/2. Now we define j==.5o=l+1.2 which models the conserved total angular momentum [H,J]=0.) It all came out in perfect fit with atomic structure and FQHE.
But the real breakthrough today is this: when Misner, Thorne and Wheeler (MTW) or anyone else talk about orientation-entanglement (and should also be talking about twist), they are talking about an "object" which is entangled via "threads" with its external "environment." A few weeks ago I opined here that the threads might be the the field lines of an electron as first modeled by Faraday, but of course those are classical field lines, and in quantum these would need to be operators and I want to understand quantum topologically, not through these damned operators which work well mathematically but give no topological visualization to the physics aside from correspondence rules by which one converts classical to quantum, e.g., Poisson Brackets to Canonical Commutators or classical angular momentum to orbital angular momentum. So for the past several weeks, I have been asking myself over and over the same question:
what are these "threads," physically? MTW use these "threads" to track OE of an "object" relative to its "environment," and we assume the "object" is a spinor and the environment is something else like some nearby nuclei. But the threads are just some abstraction unless they correspond to a physical observable. So if OE is ever to go from a nice visual analogy for a spinor to something physically real, then
the threads have to be physically real. So again, and again, turning over and over in my mind for a few weeks, night and day, has been the question: WHAT ARE THESE THREADS WHICH DO THE ENTANGLEMENT AND THE TWISTING? They have to be something physically real. But what? Think about this, and look at my Figure 2a or 3a in
http://vixra.org/pdf/1412.0160v1.pdf, and imagine that each ribbon in those Figures are twisted once with opposite helicity which is what we need to bring spin 1/2 into the topology per the j==.5o=l+1.2.
Then today it hit me: Nature has been playing a "Wizard of Oz" game with everybody. We have been focusing on this big ole scary Wizard, and missing the man behind the curtain. Like the magician who distracts us into looking at the shiny object while the real business is done elsewhere, we have all been looking at the wrong thing in OE when we talk about "threads" connecting an "object" to an "environment" and presumed that somehow the (shiny) "object" is the electron or other particle we want to study. THERE IS NO "OBJECT" AND THERE IS NO "ENVIRONMENT." THERE ARE ONLY THE THREADS, AND THE THREADS (REALLY RINGS KINKED WITH OPPOSITE HELICITY TWISTS)
ARE THE ELECTRONS AND ANY OTHER DIRAC SPINORS. The topological deformation I did in Figure 2 of
http://vixra.org/pdf/1412.0160v1.pdf stopped one step short of its final step: In the final step, we can remove the top and bottom "bars" entirely, and just make those part of the ribbon. The pictures
https://jayryablon.files.wordpress.com/ ... spinor.jpg represent the final topological deformation of Figure 2, once we have added a twist to account for the spin 1/2.
So, when you study orientation-entanglement, make sure to include twist, ignore the "object" and the "environment" which are misleading magician tricks, and study the "threads / ribbons / rings" themselves, with the understanding that they have forced kinks which give them twists, that the usual OE operations take place by manipulations of these kinks,
and that these ARE the particles and via their variable topologies the particles states that we observe in nature. The "object" and the "environment" are merged with the "threads" et. al, and become the two kinks or anchors which separate the Alice half from the Bob half of the ring and unite what are the two spinor eigenstates of a single fermion into a topologically holistic entity. If you do, you will have a new tool to deal with EPR, you will be able to model nuclear and atomic quantum structure with topology, and you will explain FQHE and electric magnetic-duality and its symmetry breaking.
And finally, you will have a way to use QHFE to confirm all of this, because I will predict with confidence that under careful observation, the 1/3 fractions behave like atomic p shell electrons and show three different (m=+1,0,-1) appearances, the 1/5 behave like atomic d shell electrons with five variants (m=+2,+1,0,-1,-2), the 1/7 behave like atomic f shell electrons with seven variants (m=+3,+2,+1,0,-1,-2,-3, etc. That is a
prediction I make (I said prediction, not retrodiction which I have done a lot of with the nuclei), and I will bet the farm that if somebody does these experiment, this whole thing will be confirmed.
Jay