  We introduce a new type of the spacetime quantization based on the spinorial
description suggested by loop quantum gravity. Specifically, we build our
theory on a string theory inspired $Spin(3,1)$ worldsheet action. Because of
its connection with quantum gravity theories, our proposal may in principle
link back to string theory, connect to loop quantum gravity where $SU(2)$ is
suggested as the fundamental symmetry, or serve as a Lorentzian spin network.
We derive the generalized uncertainty principle and demonstrate the holographic
nature of our theory. Due to the quantization of spacetime, geodesics in our
theory are fuzzy, but the fuzziness is shown to be much below conceivable
astrophysical bounds.
