Considering a kind of probability W, a vector quantity A may be define by an equation A=-klogW, which is just similar to the definition of cutropy. The quantity defined in this way may have the complete nature of the vector. The author has been lead to attain to such an idea by relations j_s/j_s, =1, j_s/j_l=-j/j_s discussed in the preceding part. The pcobability which may give the vector by the present definition will be called hereafter doctor probability

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The author has constructed a cyclic line-element for the universe, in accordance with Boltzmann's ilea. This line-element satisfies the law of conservation of energy, approximates to Tohoan-s one and zives some other remarkable results

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The author shows that some diminution of the light velocity is a necessary consequence of the kinetic universe

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It is shown that the introduction of the energy-tensor due to the possible electro-static field of spherically symmetrical distribution does not lead to any other accessible line-element than those of Einstein and of de Sitter

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