Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1938
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1938natur.141..905m&link_type=abstract
Nature, Volume 141, Issue 3577, pp. 905-906 (1938).
Astronomy and Astrophysics
Astrophysics
Scientific paper
IN a recent series of papers, one of us has derived the equation of motion1 of a free particle in the presence of the expanding universe by a priori methods, and constructed an associated dynamics. The observers' clocks were supposed so graduated2 that the expansion appeared uniform, and the resulting scale of time was called the t-scale. But the equations of motion reduced to their classical form3 only if observers' clocks were regraduated from t to τ where and all derived measures correspondingly changed. Accordingly, the `uniform time' of mechanics was identified as τ-time. In this measure of time, the universe appears as a stationary, non-expanding system, and the red-shift is shown4 to be attributable to an acceleration of atomic absorption- or emissionfrequency with time in τ-measure, so that the light, emitted long ago by a distant nebula, appears relatively displaced to the red. In a joint paper about to appear in Zeitschrift für Astrophysik, we have analysed generally all monotonic graduations of our temporal experience, that is, all possible modes of clock-graduation, and shown that of these there is just one, τ-measure, which reduces the members of any `linear equivalence' to relative rest. This again we have identified as the time of mechanics.
Milne A. E.
Whitrow G. J.
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