Abstract
A model which conjectures the existence of an additional spatial dimension is investigated. A categorization of the spatio-temporal variables is suggested by observing that the ordinary variables of three-space are controllable while the temporal variable is not due to the inexorable passage of time. To the additional spatial dimension is imputed the uncontrollable label on the grounds that the associated numbers are not subject to prediction. On the basis of the assumption that relativity theory is valid in the enlarged space the Doppler effect technique is extended so as to enable a description of the effects of motion in an additional direction. An application to some measurements obtained by utilizing the Mossbauer effect is subject to a statistical analysis in the light of the above proposals. It is found that the fluctuation in the data may be ascribed to the independent random motions in the additional direction of absorber and detector about a rest position both with r.m.s. velocity 12.2 m/s.
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