Foundations of Physics

, Volume 45, Issue 2, pp 171–176

Between Quantum and Classical Gravity: Is There a Mesoscopic Spacetime?

  • Eolo Di Casola
  • Stefano Liberati
  • Sebastiano Sonego
Article

DOI: 10.1007/s10701-014-9859-0

Cite this article as:
Di Casola, E., Liberati, S. & Sonego, S. Found Phys (2015) 45: 171. doi:10.1007/s10701-014-9859-0

Abstract

Between the microscopic domain ruled by quantum gravity, and the macroscopic scales described by general relativity, there might be an intermediate, “mesoscopic” regime, where spacetime can still be approximately treated as a differentiable pseudo-Riemannian manifold, with small corrections of quantum gravitational origin. We argue that, unless one accepts to give up the relativity principle, either such a regime does not exist at all—hence, the quantum-to-classical transition is sharp—, or the only mesoscopic, tiny corrections conceivable are on the behaviour of physical fields, rather than on the geometric structures.

Keywords

Quantum gravity phenomenology Quantum spacetime Classical spacetime Special relativity Lorentz transformations Clocks and rods Planck scale 

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Eolo Di Casola
    • 1
    • 2
  • Stefano Liberati
    • 1
    • 2
  • Sebastiano Sonego
    • 3
  1. 1.SISSATriesteItaly
  2. 2.Sezione di TriesteINFNTriesteItaly
  3. 3.Sezione di Fisica e Matematica, DCFAUniversità di UdineUdineItaly