AG Mathematische Physik, Christian Jäkel (Sao Paulo): Modular Hamiltonians on the de Sitter Space

Christian Jäkel (Sao Paulo)

Modular Hamiltonians on the de Sitter Space

Abstract:

While the main aim of this work is to contribute to the ongoing investigation
of modular Hamiltonians, this work is also a case study.
It aims to illustrate how to decipher the laws of nature and cast them in
a mathematical language. Once the tools of Tomita-Takesaki
modular theory are added to Wigner’s group theoretic approach,
the far-reaching and unexpected consequences of the
selection of a highly symmetric space-time, like de Sitter space, gain visibility.