Foundations of Physics

, Volume 45, Issue 2, pp 171–176 | Cite as

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

  • Eolo Di Casola
  • Stefano Liberati
  • Sebastiano Sonego


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.


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



It is a pleasure to thank D. Benincasa and A. Belenchia for illuminating discussions.


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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

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