Figure 9 - uploaded by Christoph Schiller
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The belt trick or string trick: rotations by 4π of a tethered object are equivalent to no rotation. This allows a tethered object, such as a belt buckle or a tangle core, to rotate forever.
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It appears possible to deduce black holes, general relativity and the standard model of elementary particles from one-dimensional strands that fluctuate at the Planck scale. This appears possible as long as only switches of skew strand crossings are observable, but not the strands themselves. Woven fluctuating strands behave like horizons and imply...
Contexts in source publication
Context 1
... the derivation by Battey-Pratt and Racey, Dirac's equation is in fact seen as the infinitesimal description of Dirac's string trick, also called the belt trick. This trick, illustrated in Figure 9, demonstrates that rear- rangement of tethers implies that a (core) rotation by 4π is equivalent to no rotation at all. In other words, the belt trick, with its tether rearrangement, allows continuous (tethered) core rotation -independently of the number of belts, strands or tethers. ...
Context 2
... way that the transfer of twists, i.e., photon absorption or emission, leads to the observed phase change and to the Feynman diagram for quantum electrodynamics, or QED, is illustrated in Figure 19. ...
Context 3
... the strand definition of the electromagnetic interaction illustrated in Figure 19, together with the tangles of the leptons, yields all Feynman diagrams of QED. For example, pair creation is illustrated in Figure 27; the figure also illustrates lepton-antilepton annihilation. ...
Context 4
... the strand conjecture, the electromagnetic interaction is the rotation of crossings by photon absorption or emission, as illustrated above in Figure 19. The detailed geometry is illustrated in Figure 38. ...
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It appears possible to deduce black holes, general relativity and the standard model of elementary particles from one-dimensional strands that fluctuate at the Planck scale. This appears possible as long as only switches of skew strand crossings are observable, but not the strands themselves. Woven fluctuating strands behave like horizons and imply...
A geometric Planck-scale model of quantum electrodynamics is tested against observations. Based on Dirac's proposal to describe spin 1/2 particles as tethered objects, elementary fermions are conjectured to be fluctuating rational tangles with unobservable tethers. As Battey-Pratt and Racey showed, when such tangles propagate, they obey the free Di...