Dimension of space–time
نویسندگان
چکیده
In order to make it operationally accessible, it is proposed to base the notion of the dimension of space–time on measure–theoretic concepts, thus admitting the possibility of noninteger dimensions. It is found then, that the Hausdorff covering procedure is operationally unrealizeable because of the inherent finite space–time resolution of any real experiment. We therefore propose to define an operational dimension which, due to the quantum nature of the coverings, is smaller than the idealized Hausdorff dimension. As a consequence of the dimension of space–time less than four relativistic quantum field
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تاریخ انتشار 2010