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| THERMAL EQUILIBRIUM AND KMS CONDITION AT THE PLANCK SCALE |
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Citation： |
G. BOGDANOFF,I. BOGDANOFF.THERMAL EQUILIBRIUM AND KMS CONDITION AT THE PLANCK SCALE[J].Chinese Annals of Mathematics B,2003,24(2):267~274 |
| Page view： 1242
Net amount： 863 |
Authors： |
G. BOGDANOFF; I. BOGDANOFF |
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| Abstract： |
Considering the expected thermal equilibrium characterizing the
physics at the Planck scale, it is here stated, for the first
time, that, as a system, the space-time at the Planck scale must
be considered as subject to the Kubo-Martin-Schwinger (KMS)
condition. Consequently, in the interior of the KMS strip, i.e.
from the scale $\calb=0$ to the scale $\calb=\ell_{Planck}$, the
fourth coordinate $g_{44}$ must be considered as complex, the two
real poles being $\calb=0$ and $\calb=\ell_{planck}$. This means
that within the limits of the KMS strip, the Lorentzian and the
Euclidean metric are in a ``quantum superposition state'' (or
coupled), this entailing a ``unification'' (or coupling) between
the topological (Euclidean) and the physical (Lorentzian) states
of space-time. |
Keywords： |
KMS state, Planck scale, KMS strip |
Classification： |
35Q99 |
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