PIRSA:11070059 Conference

DOI10.48660/11070059

Conference/School: Women in Physics Canada Conference - 2011

Vidotto, F. (2011). What's the Entropy of Gravity?. Perimeter Institute. https://pirsa.org/11070059

Vidotto, Francesca. What's the Entropy of Gravity?. Perimeter Institute, Jul. 19, 2011, https://pirsa.org/11070059 

@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}}
}

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.

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