Speaker
Ilkka Makinen
( University of Warsaw )
Description
We introduce a new operator representing the three-dimensional scalar curvature in loop quantum gravity. The classical starting point of our construction is to express the Ricci scalar directly as a function of the Ashtekar variables. The construction does not apply to the entire Hilbert space of loop quantum gravity; instead, the operator is defined on the Hilbert space of a fixed cubical graph. As such, the operator is relevant to approaches such as algebraic quantum gravity, quantum-reduced loop gravity and models of effective dynamics. (Jerzy Lewandowski, Ilkka Mäkinen, arXiv:2110.10667)
