Bell's inequalities - I: An explanation for their experimental violation

Derivations of two Bell's inequalities are given in a form appropriate to t he interpretation of experimental data for explicit determination of all th e correlations. They are arithmetic identities independent of statistical r easoning and thus cannot be violated by data that meets the conditions for their validity. Two experimentally performable procedures are described to meet these conditions. Once such data are acquired, it follows that the mea sured correlations cannot all equal a negative cosine of angular difference s. The relation between this finding and the predictions of quantum mechani cs is discussed in a companion paper. Published by Elsevier Science B.V.