Is the mathematics used in certain areas of science a kind of anything goes, non-rigorous, rules are meant to be broken affair? Is this the gimmick that has escaped notice for so long? Who or what kind of system grants a scientist the fame that makes him part of the history of science or more rarely part of history? Once this fame has been granted is there any way to put the genie back in the bottle? Is there any motive for anyone to ever want to put the genie back in the bottle?
Imagine the euphoria of being a famous scientist—the elite of the elite. Beneath you are the journeymen scientists who have studied and studied for decades to obtain a PhD, and now they ceaselessly labor on in anonymity. Beneath them are the ham and eggers, the little people that spend their lives filling out forms and watching movies. It seems every famous scientist has his circle of promoters. This is a mixed lot that consists of other scientists, science writers, journalists and others.
John S. Bell’s famous paper, "On the Einstein, Podolsky, Rosen Paradox," was published in 1964. Lyndon Johnson was president then, and an intimate portrait of Lyndon Johnson was published in 2005 by his friend and confidant Horace Busby. Busby’s book "The Thirty-First of March" unintentionally portrays Johnson as a collection of gimmicks. Perhaps, this portrayal was unavoidable because to modern eyes Johnson appears as a factotum of the press. Is it possible that everyone was a factotum of the press in those days?
What gimmicks does John S.Bell employ? In his paper "On the Einstein, Podolsky, Rosen Paradox" equation number 3 is denoted as the quantum mechanical expectation value. Later in the text, equation number 3 is denoted as the quantum mechanical correlation. The reader may think to himself equation number 3 can’t be both the quantum expectation value and the quantum correlation. But, if you work out the complex mathematics you discover that the quantum expectation value is equal to the quantum correlation. This works as a kind of trick to make you suspend your judgement about the mathematics that is to follow. But, according to the author, if you carefully work out the details of the mathematical argument that Bell presents you discover his famous inequality is invalid—a chimera.
(review of free book)