electron+photon interaction / ugfm model скачать в хорошем качестве

electron+photon interaction / ugfm model

What are we actually doing here? The two counter-propagating light-like components in the simulation are not a new idea. This comes from a modified 1+1 Dirac quantum walk, with some Maxwell structure absorbed into it. We work in the complex field (F = E + iB), which is one of the standard Maxwell representations: the Riemann–Silberstein vector. The broader background is what I call a “binary vacuum.” It is built from two independent complex components, similar to the two independent polarization components known in optics. In optics, when these components are coupled through a tensor, they generate a wide variety of interference patterns through constructive and destructive mixing of the two channels. In this picture, the electron is made from the same two complex components, but tied into a knot-like toroidal structure. So the electron is not separate from the binary vacuum: it is a localized part of the same space. Below is a set of four simulations. *1. Electron-like mass, MU = 0.3, at rest* We do not yet know what physical mass scale we are creating. In the model, we can build an electron-like object at almost any scale, but in nature particles such as the electron, neutrino, muon, and pion have very specific masses. That means quantization is still the main unanswered question. For a resting electron, standard physics gives the de Broglie picture: the wavelength becomes very large as momentum goes to zero. The frequency itself does not vanish, but the effective radius associated with phase rotation changes. In our interpretation, the phase keeps rotating, but over a larger structure. That rest frequency is (f_0 = mc^2/h). In the simulation it appears as **omega**, shown at the top of each slice. It is our lab-style estimate of how much of the global phase cycle passes per iteration in the complex field. These are still model units, not directly comparable to Standard Model values. We also track *E/E0* for energy leakage, *r_c* for the radial center of the knot, *z_c* for the current axial position inside the box, and *z_u* for total traveled distance. The toroidal mass expands at nearly the speed of light, which is exactly what the model implies: one step equals one pixel, and one pixel per step is the simulation’s speed of light. For the resting-mass run, we use 3000 steps on a 1024×1024 grid. The *energy plus* and *energy minus* maps show the binary-vacuum field. In the electron case, these components are tied into one common knot, but they also remain open to the surrounding binary vacuum. That means the same plus/minus channels can interact with an incoming photon. I would like to say this is a model prediction: if an electron were slowed almost to zero, its dispersion and photon interaction might look roughly like this. But for now the mass is still effectively pinned in place, so this is not yet full physics. The *bright/dark* maps show constructive and destructive interference of the whole field, including the knot itself. That part deserves a separate discussion. At the end, we also analyze the frequency content and highlight where different frequencies appear. So far it is always one main frequency plus its harmonics. *2. Electron-like mass, MU = 0.3, in motion + photon* At iteration 200, we inject a photon. The mass is the same, but now given momentum. The problem is that the simulation still does not let the electron behave as a fully free object. That is a hard technical issue and will take time. The photon is more intense than the mass, so when it appears, the mass is visually overshadowed. This is also true in other runs. We can give the mass internal rotation and momentum, but it still does not truly shift as a free particle should. The photon does not dramatically change the mass. The mass forms a compact core that disperses much more slowly than in the rest case, which is what we would expect. The photon mostly scatters, but seems to be partly absorbed. That is what the simulation suggests. The Standard Model also predicts photon scattering on electrons, although the exact regime depends on frequency. But the de Broglie scale seen here, where photon and electron wavelengths become comparable, is not well explored experimentally because it is very hard to realize. *3. Muon-like mass, MU = 0.9, at rest + photon* Now we see a much stronger core, and the photon is forced to bend around it. It also looks as if this heavier mass develops something like an outer layer, where the photon scatters on an external structure derived from the core itself. I am not ready to interpret that yet. We need many more runs, and much longer ones. *4. Muon-like mass, MU = 0.9, in motion + photon* Why “muon-like”? Simply because it is heavier. The model still cannot reproduce real physical scale, so this is only a conditional label.