Physics
Scientific paper
Dec 1930
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1930natur.126..881m&link_type=abstract
Nature, Volume 126, Issue 3188, pp. 881-882 (1930).
Physics
Scientific paper
IN a letter in NATURE of Nov. 8, p. 722, Prof. A. Haas proposes to relate the rate of expansion of the universe to the rate of `disintegration' of matter by using Einstein's formula, and taking derivatives with respect to the time t. Apart from the fact that this would give a negative velocity, that is, a contraction, the method itself seems to be illegitimate. Equation (1) is derived on the explicit assumption that R is not a function of t. When R is a function of t, (1) must be replaced by where λ is Einstein's cosmical constant.1 From (2) and related equations Eddington2 has shown that Einstein's universe is unstable, so that when once disturbed it will expand or contract even if the total mass remains constant. He has further shown that if the initial disturbance were a conversion of matter into radiation it would actually start a contraction.
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