A New Uncertainty Relation

Abstract

ONE of the consequences of the introduction of a geometry of four dimensions as a basis of physical theory has been to reveal relations between certain quantities which had previously appeared to differ fundamentally in character, the simplest being there relation between space and time. In geometries which introduce new parameters or new dimensions, a similar unexpected unification may appear. This is particularly the case in the theory based upon the use of projective geometry associated with the names of Veblen and Hoffmann, and with the five-dimensional theory introduced by Kaluza. It is necessary to express any results obtained in this way in a form which satisfies the requirements of relativistic invariance; at the development of both these theories has proceeded in such a way as to make this possible.

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