This is joint work with A. Chamseddine and W. van Suijlekom. We compute the information theoretic von Neumann entropy of the state associated to the fermionic second quantization of a spectral triple. We show that this entropy is given by the spectral action of the spectral triple for a specific universal function. The main result is the surprising relation between this function and the Riemann zeta function.
Entropy and the spectral action (IHES)
December 22nd, 2018 | Lectures