3 short stories about the quantum <-> gravity interface
APA
Livine, E. (2023). 3 short stories about the quantum <-> gravity interface. Perimeter Institute. https://pirsa.org/23100093
MLA
Livine, Etera. 3 short stories about the quantum <-> gravity interface. Perimeter Institute, Oct. 12, 2023, https://pirsa.org/23100093
BibTex
@misc{ pirsa_PIRSA:23100093, doi = {10.48660/23100093}, url = {https://pirsa.org/23100093}, author = {Livine, Etera}, keywords = {Quantum Gravity}, language = {en}, title = {3 short stories about the quantum <-> gravity interface}, publisher = {Perimeter Institute}, year = {2023}, month = {oct}, note = {PIRSA:23100093 see, \url{https://pirsa.org}} }
Building on the fact that quantum uncertainty is a dynamical degree of freedom in itself in quantum mechanics, I will start with the remark that its evolution can provide a notion of intrinsic clock. To illustrate the non-triviality of this idea, we’ll check the dynamics of the uncertainty if gravitizing quantum mechanics into a non-linear Schrödinger equation, and will see that it (surprisingly?) follows the same trajectories as planetary orbits. A third thread will come from the black hole mini-superspace in general relativity. We will see that, assuming that the quantization preserves all the symmetries of the theory, universal quantum gravity corrections can also be written as a non-linear Schrödinger equation, leading to a non-trivial evolution of the “classicality” of black hole wave-packets along the radial coordinate.
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