Fractal Toroidal Dynamics - A parameter-free, geometrical, 3+1 dimensional interpretation of SM observables(most sub-1%), by extending Skyrme-Faddeev-Niemi 3-Torus Model.
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2026
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| _version_ | 1866901558895050752 |
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| author | Specka, Peer-Philipp |
| author_facet | Specka, Peer-Philipp |
| contents | <p>Trees look like upside down lightning.</p> <p>Based on the observation that organic and inorganic matter repeatedly express fibers and networks resembling cable topology—while nature and forces align towards optimal path solutions—FTD proposes a parameter-free derivation of 40 Standard Model observables.</p> <p>This approach is founded on the idea of underlying cable structures as a universal principle across all matter types.</p> <p>It involves a topological identification of the polarizing 3-torus of the Skyrme-Faddeev-Niemi (SFN) class, embedded in a Casimir vacuum lattice.</p> <p>The primary deviation from the standard SFN model is the observation that, under force, a 3-torus could potentially be threaded into the vortex channel of other 3-tori.</p> <p>A torus threaded in an energy-dense region may even be threaded macroscopically through many others; the resulting 'cable' would store energy as torque while its polarization modes are suppressed.</p> <p>This confinement prevents the channeled 3-torus from developing Casimir cells, keeping the lattice Lorentz invariant and establishing CPT symmetry on a cosmic scale.</p> <p>Topologically, torque adds twist and writhe to the cables, which can be interpreted as entropy and the arrow of time. </p> <p>The Călugăreanu-White-Fuller conservation law, ΔTw+ΔW=0, serves as the energy conservation mechanism from which particle masses, the CKM matrix, lepton hierarchy, and CPT invariance emerge as geometric consequences. </p> <p>Bells Theorem would be upheld, as the local hidden variable is only semi-local, as the cable connects 2 locations in space indeed, but it is the coordinate itself that is stretched.</p> <p>In essence information does not travel faster than light in this model, as the two points are technically adjacent in 3+1 dimensions.</p> <p>Derivations of the exact observables will require a full expression of the FTD Lagrangian, which is currently a work in progress.</p> <p>Please direct any requests and suggestions to:</p> <p>Peer.P.Specka@GMX.de</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19262403 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fractal Toroidal Dynamics - A parameter-free, geometrical, 3+1 dimensional interpretation of SM observables(most sub-1%), by extending Skyrme-Faddeev-Niemi 3-Torus Model. Specka, Peer-Philipp Quantum physics Quantum Theory Quantum field theory Knot Theory Geometry Lattice QCD <p>Trees look like upside down lightning.</p> <p>Based on the observation that organic and inorganic matter repeatedly express fibers and networks resembling cable topology—while nature and forces align towards optimal path solutions—FTD proposes a parameter-free derivation of 40 Standard Model observables.</p> <p>This approach is founded on the idea of underlying cable structures as a universal principle across all matter types.</p> <p>It involves a topological identification of the polarizing 3-torus of the Skyrme-Faddeev-Niemi (SFN) class, embedded in a Casimir vacuum lattice.</p> <p>The primary deviation from the standard SFN model is the observation that, under force, a 3-torus could potentially be threaded into the vortex channel of other 3-tori.</p> <p>A torus threaded in an energy-dense region may even be threaded macroscopically through many others; the resulting 'cable' would store energy as torque while its polarization modes are suppressed.</p> <p>This confinement prevents the channeled 3-torus from developing Casimir cells, keeping the lattice Lorentz invariant and establishing CPT symmetry on a cosmic scale.</p> <p>Topologically, torque adds twist and writhe to the cables, which can be interpreted as entropy and the arrow of time. </p> <p>The Călugăreanu-White-Fuller conservation law, ΔTw+ΔW=0, serves as the energy conservation mechanism from which particle masses, the CKM matrix, lepton hierarchy, and CPT invariance emerge as geometric consequences. </p> <p>Bells Theorem would be upheld, as the local hidden variable is only semi-local, as the cable connects 2 locations in space indeed, but it is the coordinate itself that is stretched.</p> <p>In essence information does not travel faster than light in this model, as the two points are technically adjacent in 3+1 dimensions.</p> <p>Derivations of the exact observables will require a full expression of the FTD Lagrangian, which is currently a work in progress.</p> <p>Please direct any requests and suggestions to:</p> <p>Peer.P.Specka@GMX.de</p> |
| title | Fractal Toroidal Dynamics - A parameter-free, geometrical, 3+1 dimensional interpretation of SM observables(most sub-1%), by extending Skyrme-Faddeev-Niemi 3-Torus Model. |
| topic | Quantum physics Quantum Theory Quantum field theory Knot Theory Geometry Lattice QCD |
| url | https://doi.org/10.5281/zenodo.19262403 |