Graduate G. Bianconi: Gravity from Entropy

Click For Summary
The discussion focuses on the arXiv papers by Prof. G. Bianconi, particularly "Gravity from Entropy" and "Quantum entropy couples matter with geometry." The first paper presents a Lorentzian spacetime framework, while the second explores a discrete spacetime model based on higher-order networks. Both papers utilize an entropy-based variational principle, linking gravitational dynamics to quantum relative entropy between metrics influenced by matter and gauge fields. The continuum formulation employs differential geometry, whereas the discrete approach uses combinatorial methods, consistently deriving key equations like the Einstein, Klein-Gordon, and Dirac equations. Overall, the papers propose a cohesive theoretical framework for understanding gravity through entropy.
Physics news on Phys.org
antaris said:
So as I read correct the first paper describes an lorentzian spacetime and the second describes an discrete spacetime from higher order networks.

Both documents use an entropy–based variational principle in which the gravitational dynamics
(or network geometry dynamics in the discrete case) arise from a quantum relative entropy
between a default (or bare) metric and an induced metric determined by matter (and gauge)
fields. The continuum version formulates these ideas in the language of differential geometry and
field theory, while the discrete version adapts them to the combinatorial and algebraic setting
of higher–order networks. In both cases the formalism is consistent and the derived equations
(Einstein equations, Klein–Gordon and Dirac equations) are recovered in appropriate limits.

The discrete version leads to the Dirac- and Klein-Gordon-Equotation and the continuum version leads to macroscopic spacetime of the RT. Is this right?
 
Last edited:
  • Like
Likes atyy and ohwilleke
"Supernovae evidence for foundational change to cosmological models" https://arxiv.org/pdf/2412.15143 The paper claims: We compare the standard homogeneous cosmological model, i.e., spatially flat ΛCDM, and the timescape cosmology which invokes backreaction of inhomogeneities. Timescape, while statistically homogeneous and isotropic, departs from average Friedmann-Lemaître-Robertson-Walker evolution, and replaces dark energy by kinetic gravitational energy and its gradients, in explaining...

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 26 ·
Replies
26
Views
5K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 15 ·
Replies
15
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 6 ·
Replies
6
Views
1K