The Issue of Time in Generally Covariant Theories
APA
Gambini, R. (2021). The Issue of Time in Generally Covariant Theories. Perimeter Institute. https://pirsa.org/21060108
MLA
Gambini, Rodolfo. The Issue of Time in Generally Covariant Theories. Perimeter Institute, Jun. 16, 2021, https://pirsa.org/21060108
BibTex
@misc{ pirsa_PIRSA:21060108, doi = {10.48660/21060108}, url = {https://pirsa.org/21060108}, author = {Gambini, Rodolfo}, keywords = {Quantum Foundations}, language = {en}, title = {The Issue of Time in Generally Covariant Theories}, publisher = {Perimeter Institute}, year = {2021}, month = {jun}, note = {PIRSA:21060108 see, \url{https://pirsa.org}} }
Universidad de la Republica Uruguay
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Abstract
A possible solution of the problem of time in quantum gravitational systems is presented based on a relational description between the parameterized Dirac observables of the system under consideration and the clocks. The use of physical clocks required by a quantum gravitational description of time is shown to induce a loss of unitarity. The evolution is described by a Lindblad-type master equation unless it is possible to construct a perfect clock. I show that fundamental uncertainties in time measurements could arise due to quantum and gravitational effects, leading to the conclusion that there is always a loss of unitarity induced by the use of physical clocks. The extension of the analysis to physical reference frames in totally constrained systems is sketched.