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| Standard Model is extremely well tested, but e.g. is incompatible with general relativity, is rather for effective perturbative approximations, also uses this gigantic Lagrangian found in epicycle-style: by guess&fit terms. So maybe, like in... |
| There is this basic similarity test $Tr(A^k) = Tr(B^k)$ for $k=1..d$ for symmetric matrices allowing to conclude existence of orthogonal $O$ such that $AO = OB$. Practical question is how (if possible?) to generalize it (finally to tensors, but at... |
| Thank you for very nice notebook, I wonder if your electron has appropriate magnetic dipole moment? You could test it for example by scattering with opposite charge, like positron, or free-fall of electron into proton - e.g. leading to 120 deg... |
| ![Kepler problem with spinning object or dipole][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=kepler.gif&userId=20103 [2]:... |
| ![enter image description here][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=clock1.gif&userId=2844843 [2]: https://www.wolframcloud.com/obj/7a53cdba-2770-4013-9f68-34c9b0f34cbf |
| Thanks, indeed it might be difficult to get successful second order methods for training, but maybe it is still worth to search. For example the basic approach (cdOGR) in diagram below turned out similar to ADAM-like: also derived division by mean... |
| ![The proposed HCR neuron and neural network (HCRN, HCRNN) containing local joint distribution model. HCRNN: biology-inspired joint distribution artificial neural networks reducing to KAN-like][1] &[Wolfram Notebook][2] [1]:... |
| Thanks for great article, I am also working in this direction - above Abrikosov vortices as quark strings/color flux tubes are missing quarks as fractional charges - they can be added like in below image by fractional inward/outward field rotation... |
| ![Hydrodynamic quantum analogs. Dual Walkers. Droplet. Fluid. Deterministic and statistical models of tunneling. Chaos.][1] &[Wolfram Notebook][2] [1]:... |
| ![enter image description here][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=56532wqc.png&userId=2844843 [2]: https://www.wolframcloud.com/obj/ccad7957-6f68-4c10-880c-90c41bbaa4d8 |