Relational dynamics: interacting clocks and systems and quantum time dilation

          @misc{ scivideos_PIRSA:21060102,
            doi = {10.48660/21060102},
            url = {https://pirsa.org/21060102},
            author = {Ahmadi, Mehdi},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Relational dynamics: interacting clocks and systems and quantum time dilation },
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060102 see, \url{https://scivideos.org/index.php/pirsa/21060102}}
          }
          

Abstract

Time is absolute in quantum mechanics, whereas it is dynamical in general relativity. This is considered as one of the main obstacles towards unifying quantum theory and gravity. Relational quantum dynamics offers a possible solution by treating clocks as internal quantum systems, which promotes time to a dynamical quantity. This talk begins with a quick overview of time in relational quantum dynamics. We then explain that the inclusion of an interaction term coupling the clock and system causes the system dynamics to be governed by a time-nonlocal Schrödinger equation. Moreover, we demonstrate a quantum time dilation phenomena wherein we analyze the effect of non-classical states of quantum clocks on relativistic time dilation.