Spacetime metric and the KMS condition at the Planck scale (Q1597388)

The authors argue that at the Planck scale, the ``spacetime system'' should most likely be considered as being in a thermodynamical equilibrium state. Then they show that, as a natural consequence of this equilibrium state, the spacetime must be considered as subject to the KMS (Kubo-Martin-Schwinger) condition and suggest that, considering the KMS properties, the time-like direction \(g_{44}\) of the metric should be seen as complex \(t_c= t_r+ it_i\) within the limits of the KMS strip, i.e. between the scale zero and the Planck scale. Finally they discuss briefly the transition from imaginary time \(t_i\) to real time \(t_r\) in terms of KMS state breaking beyond the Planck scale.