Reassessing the Defiance of Bell's Inequality, Mathematically: both Theoretically and Empirically

According to Aspect's optical characterization of Bell's inequality in CHSH form, the value of "s", a linear combination of four polarization products, can equal only -2 or +2 if Einstein's principle of local realism holds. All agree. Bell's inequality then specifies -2 <= E(s) <= +2, which is thought to be defied by quantum probabilities. Unrecognized has been a corollary that if the sum of any three components equals -3, -1, +1, or +3, then the fourth component must equal +1, -1, +1, or -1, respectively. These restrictions specify four symmetric functional relations among the components of "s". Although the quantum expected value of each component equals 1/sqrt(2), the expected value of the sum does NOT equal 4/sqrt(2) = 2sqrt(2), as commonly supposed. Linear programming computation that respects the symmetric functional relations identify only an interval of coherent quantum expectation for "s". Specifically, it designates E(s) within the interval (1.1213, 2]. Bell's inequality is satisfied everywhere within it. Aspect's original attempts to provide empirical evidence on the matter do not respect the required restrictions. This talk presents the implications of a complete analysis, algebraically, geometrically, and substantively. The feature of local realism is preserved in quantum phenomena. A complete assessment of this and related matters can be found in the recent publication of JUST PLAIN WRONG: the dalliance of quantum theory with the defiance of Bell's inequality, 2024, London: Austin Macauley.