What's the Entropy of Gravity?
APA
Vidotto, F. (2011). What's the Entropy of Gravity?. Perimeter Institute. https://pirsa.org/11070059
MLA
Vidotto, Francesca. What's the Entropy of Gravity?. Perimeter Institute, Jul. 19, 2011, https://pirsa.org/11070059
BibTex
@misc{ pirsa_PIRSA:11070059, doi = {10.48660/11070059}, url = {https://pirsa.org/11070059}, author = {Vidotto, Francesca}, keywords = {}, language = {en}, title = {What{\textquoteright}s the Entropy of Gravity?}, publisher = {Perimeter Institute}, year = {2011}, month = {jul}, note = {PIRSA:11070059 see, \url{https://pirsa.org}} }
Western University
Collection
Talk Type
Abstract
I present a proposal, originally motivated by a result in graph theory: the entropy function of a density matrix naturally associated to a simple undirected graph, is maximized, among all graphs with a fixed number of links and nodes, by regular graphs.I recover this result starting from the Hamiltonian operator of a non-relativistic quantum particle interacting with the loop-quantized gravitational field and setting elementary area and volume eigenvalues to a fixed value. This operator provides a spectral characterization of the physical geometry, and can be interpreted as a state describing the spectral information about the geometry available when geometry is measured by its physical interactionwith matter. It is then tempting to interpret the associated entropy function as a genuine physical entropy: I discuss the difficulties of this interpretation and I present a possible viable definition of quantum-gravitational entropy.