Alain Connes - Entropy and the spectral action
Автор: Institut des Hautes Etudes Scientifiques (IHES)
Загружено: 2018-12-22
Просмотров: 9963
Описание: 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.
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