Spacetime Metric and the KMS Condition at the Planck Scale

Authors: Bogdanoff G.; Bogdanoff I.

Source: Annals of Physics, Volume 296, Number 1, February 2002 , pp. 90-97(8)

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Abstract:

For the first time the present paper shows that the spacetime system must be considered as subject to the Kubo–Martin–Schwinger (KMS) condition at the Planck scale. Consequently in the interior of the KMS strip, i.e., from the scale ß=0 to the scale ß=l_Planck, the fourth coordinate g₄₄ must be considered as complex, the two real poles being ß=0 and ß=l_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), thus entailing a “unification” (or coupling) between the topological (Euclidean) and the physical (Lorentzian) states of spacetime. © 2002 Elsevier Science (USA).

Language: English

Document Type: Research article

Affiliations: Mathematical Physics Laboratory CNRS UMR A 5029, Bourgogne University, 5, avenue de Montespan, Paris, 75116, France

Publication date: 2002-02-01