Klein-Gordon thermal equation for a planck gas |
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| Authors: | Miroslaw Kozlowski Janina Marciak-Kozlowska |
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| Institution: | (1) Present address: Institute of Experimental Physics, Warsaw University, Hoza 69, 00- 681 Warsaw, Poland;(2) Present address: Institute of Electron Technology, Al. Lotników 32/46, 02-668 Warsaw, Poland |
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| Abstract: | In this paper the quantum hyperbolic equation formulated in our earlier paper Found. Phys. Lett.
10, 599 (1997)] is applied to the study of the propagation of the initial thermal state of the universe. It is shown that the
propagation depends on the barrier height. The Planck wall potential is introduced,V
P
= ħ/8tP
= 1.125 1018 GeV, wheret
P
is a Planck time. For the barrier heightV <V
P
, the master thermal equation isthe modified telegrapher’sequation, and for barrier heightV >V
P
the master equation is theKlein- Gordon equation. The solutions of both type equations for Cauchy boundary conditions are discussed. |
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| Keywords: | thermal properties Planck gas Planck wall distorted thermal waves |
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