Tootfinder

Scrapping the Local Loop, by the Numbers
https://poliverso.org/display/0477a01e-663dc218-acd7676e12b25baf
Scrapping the Local Loop, by the Numbers A few years back I wrote an “Ask Hackaday” article

This https://arxiv.org/abs/2404.03026 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Magic Number Conjecture for the $m=2$ amplituhedron and Parke-Taylor identities
The amplituhedron $A_{n,k,m}$ is a geometric object introduced in the context of scattering amplitudes in $N=4$ super Yang Mills. It generalizes the positive Grassmannian (when $n=k+m$), cyclic polytopes (when $k=1$), and the bounded complex of the cyclic hyperplane arrangement (when $m=1$). Of substantial interest are the tilings of the amplituhedron, which are analogous to triangulations of a polytope. Karp, Williams and Zhang (2020) observed that the known tilings of $A_{n,k,2}$ have cardina…

Elasticity of fibres prefers the chaos of turbulence
Rahul K. Singh
https://arxiv.org/abs/2406.06033 https://arxiv.org/pdf/2406.06033…

Elasticity of fibres prefers the chaos of turbulence
The dynamics of fibres, modelled as a sequence of inertial beads linked via elastic springs, in turbulent flows is dictated by a non-trivial interplay of their inertia and elasticity. Such elastic, inertial fibres preferentially sample a three-dimensional turbulent flow in a manner qualitatively similar to that in two-dimensions [Singh et al., Phys. Rev. E 101, 053105 (2020)]. Inertia and elasticity have competing effects on fibre dynamics: Inertia drives fibres away from vortices while elastic…