In addition, the nearly full spin polarization we observed (~80%) may be useful in spintronic applications. The observed nondegenerate property of the Fermi arcs is important for establishing its exact topological nature, which reveals that spins on the arc form a novel type of 2D matter. The curvature energy as spectra of a field observable that is resulted of the variation of energy due to the speed of direction change in the space. Moreover, more » we demonstrate that the chirality of the Weyl nodes in TaAs cannot be inferred by the spin texture of the Fermi arcs. Our spin data, for the first time, reveal that the Fermi arcs’ spin-polarization magnitude is as large as 80% and lies completely in the plane of the surface. Here, we experimentally measure the spin polarization of the Fermi arcs in the first experimentally discovered Weyl semimetal TaAs. The Weyl fermions at zero energy correspond to points of bulk-band degeneracy, called Weyl nodes, which are separated in momentum space and are connected only through the crystal’s boundary by an exotic Fermi arc surface state. Thus, relativity accounts for Newton's inverse square law of gravity through geometry and thereby does away with the need for any mysterious action. A Weyl semimetal is a new state of matter that hosts Weyl fermions as quasiparticle excitations. Designer Curved-Space Geometry for Relativistic Fermions in Weyl Metamaterials Alex Weststrm and Teemu Ojanen Phys. The four dimensional space-time continuum itself is distorted in the vicinity of any mass, with the amount of distortion depending on the mass and the distance from the mass.