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| Médium: | Recurso digital |
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Zenodo
2026
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| On-line přístup: | https://doi.org/10.5281/zenodo.19323708 |
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- <p>Trees look like upside down lightning.</p> <p>The Grid <br><br>Space is filled with very long cables stretched in every direction, and threaded onto each cable like pearls on a string are tiny vacuum tori — each pearl-torus is a cell of the lattice, a virtual particle-antiparticle pair that spins in place. <br><br>The Cell <br><br>Each cell contains exactly 2 tori. The pearl-torus sitting there, and the cable passing through it. The cable is itself a torus — it closes somewhere far away — and even though only a tiny fraction of it is inside the cell, a torus either exists or it does not. You cannot have half a torus. So the cable contributes 1 as an integer. The pearl contributes 1. Every cell contains 2. That is where the binary branching comes from. That is why s0 = ln(2). <br><br>The Proton <br><br>A large (8,3) torus knot threaded onto a cable among the pearl-tori, winding 8 times around and 3 times through a doughnut, spinning in place and pushing energy along the cable in both directions. <br><br>The Antiproton <br><br>The same knot wound the opposite way, and when it meets a proton on the same cable the two unwind against each other and all the crossing energy flies off as light. <br><br>The Neutron <br><br>A proton with one crossing flipped, costing 1.29 MeV, and after about 15 minutes the flip is unstable and snaps back. <br><br>The Electron <br><br>The open end of a cable, where all the spinning tori along the cable push energy toward the termination point because there is nowhere else for it to go. <br><br>The Positron <br><br>The other open end of the same snapped cable, receiving the same energy but with the spin twisted in the opposite direction, which is why its charge is opposite. <br><br>The Muon <br><br>A cable endpoint where the tori feeding it have 4 flipped crossings each, pushing 207 times more energy to the termination than the electron configuration. <br><br>The Tau <br><br>A cable endpoint fed by tori with 64 flipped crossings, the most energetic excitation the knot geometry permits. <br><br>The Electron Neutrino <br><br>A tiny (2,1) closed ring that has slipped off the cable and drifts freely between the strings, barely interacting because it has no open end and no attachment. <br><br>The Muon Neutrino <br><br>A (3,1) free-floating ring with spin zero, making it a boson, which is why it mixes so differently from the other two. <br><br>The Tau Neutrino <br><br>A (3,2) free-floating ring, the heaviest of the three at about 50 millielectronvolts. <br><br>The Up Quark <br><br>A fold where the cable bunches up inside the rope at a sharp crossing, the smallest possible wrinkle on the cable surface. <br><br>The Down Quark <br><br>The same fold with the universal correction factor of 1.049 from the cable being slightly off-center inside the rope. <br><br>The Strange Quark <br><br>A cable wrinkle spanning 7 segments between adjacent crossings. <br><br>The Charm Quark <br><br>A half-wavelength resonance of the cable vibrating inside the helical rope at 1.28 GeV. <br><br>The Bottom Quark <br><br>A full-wavelength resonance of the cable at 4.18 GeV. <br><br>The Top Quark <br><br>The cable vibrating at the full electroweak scale, where the knot's aspect ratio of 8/3 amplifies the Z boson mass to 173 GeV. <br><br>The Photon <br><br>A ripple travelling along a cable from one pearl-torus to the next, massless because starting a ripple on a cable costs no energy. <br><br>The Gluon <br><br>A ripple running along the long windings of the knot, 8 of them because the knot winds 8 times the long way. <br><br>The W Boson <br><br>A ripple that flips one of the short windings of a knot, carrying charge because the flip changes the winding direction. <br><br>The Z Boson <br><br>A ripple in the short windings that does not flip, carrying no charge. <br><br>The Higgs Boson <br><br>All the pearl-tori on a stretch of cable breathing in and out together, which changes the crossing energy at every point. <br><br>Confinement <br><br>A quark is a wrinkle on the cable inside the rope and a wrinkle cannot leave the surface it wrinkles on. <br><br>Pair Production <br><br>A photon snaps a cable in two, creating two open ends — one electron, one positron — each inheriting opposite twist from the break. <br><br>Annihilation <br><br>Two broken cable ends find each other and rejoin, releasing the snap energy as photons. <br><br>Beta Decay <br><br>A flipped crossing in a neutron snaps back, the released energy travels along the cable to the nearest open end as an electron, and a small ring flies off as a neutrino. <br><br>Electric Current <br><br>Spin energy from the tori propagating along the cables from one open end to another. <br><br>Magnetism <br><br>The sideways twist of a cable caused by spin energy flowing through it. <br><br>The Strong Force <br><br>Ripples along the 8 long windings, strength set by 8 out of 63 grid cells. <br><br>The Weak Force <br><br>Ripples along the 3 short windings, strength set by 3 out of 13 independent cable modes. <br><br>The Electromagnetic Force <br><br>Energy flowing along the cables themselves, from torus to open end and back. <br><br>CP Violation <br><br>The twist-writhe difference of the knot is 3/8, so the knot and the anti-knot push slightly different amounts of energy along the cable, which is why the universe has more matter than antimatter. <br><br>Strong CP Conservation <br><br>Twist minus writhe plus anti-twist minus anti-writhe equals zero by geometry, so the strong force treats matter and antimatter identically. <br><br>Three Generations <br><br>Only three cable endpoint excitations exist (0, 4, 64 flips) and only three free-floating rings fit on the grid, giving exactly three copies of each particle type. <br><br>Quark Mixing <br><br>All quarks are wrinkles on the same (8,3) rope so they are nearly identical and mix only slightly. <br><br>Neutrino Mixing <br><br>The three neutrino rings are different shapes with different twist-to-writhe ratios, so they mix strongly. <br><br>Gravity <br><br>A spinning proton-knot deforms the lattice cells around it — each cell is a pearl-torus with a cable through its center, and the deformation squeezes both the pearl and the cable segment together, making the cell smaller. Where cells are smaller, a drifting particle takes shorter steps. It drifts toward the squeezed region. Heavier knots deform more cells more strongly. That drift is gravity. <br><br>Mass <br><br>Not a property stored in a particle but the total energy pushed to a cable endpoint or trapped in crossings — a collective effect of every torus on the cable, concentrated where it can be seen. <br><br>Charge <br><br>The direction of spin arriving at a cable endpoint — one end receives clockwise twist, the other receives counterclockwise, giving opposite charges from the same source. <br><br>Why Each Cell Contains Exactly 2 <br><br>The pearl-torus is local — it sits in one place. The cable is global — it stretches across space. But topology counts integers. A torus exists or it does not. The cable, no matter how long, is 1 torus. The pearl is 1 torus. Every cell in the universe contains exactly 2 topological objects. 2 branches per cell. ln(2) information per branch. This is not put in by hand. It is a counting fact about how many closed loops pass through a single point on a grid made of closed loops.</p> <p>Peer.P.Specka@GMX.de</p>