Abstract
Today, quantum-mechanical concepts i.e. such as non-locality refer to some mathematical foundations, especially to Bell’s inequality and the Chsh inequality. Experimental data, analyzed while using Bell’s inequality or the Chsh inequality, favor a quantum mechanical description of nature over local hidden variable theories (often referred to as local realism). In general, the use of mathematically inconsistent methods can imply a waste of money, time and effort on this account. Under some certain conditions (the assumption of independence) Bell’s theorem and the Chsh inequality are already refuted. The purpose of this publication is to explore the terra incognita, the interior logic that may lie beyond Bell’s original theorem and the Chsh inequality and to refute both Bell’s original theorem and the Chsh inequality under any circumstances by the proof that we can derive a logical contradiction out of Bell’s inequalities. Thus far, if you accept Bell’s theorem or the Chsh inequality as correct, then you must accept too that +0 = +1, which is a logical contradiction. Bell’s theorem and the Chsh inequality are refuted in general. In this insight, it appears to be necessary to revisit the very foundations of quantum theory and of physics as such.
Highlights
In contrast to relativity theory, quantum mechanics is still not based on generally accepted principles or foundations
The most important implication of Bell’s theorem and one striking aspect of today’s quantum mechanics is non locality. This impossibility of a local realistic interpretation of quantum mechanics is back grounded by a family of inequalities known as Bell’s theorem or as Chsh inequality
The results of this publication are based on the law of non-contradiction (LNC) as one of the foremost among the principles of science
Summary
In contrast to relativity theory, quantum mechanics is still not based on generally accepted principles or foundations. An axiomatic formalization of the mathematical foundations of quantum mechanics similar to Newton’s principia is a possible approach to solve this problem but still not in sight. The core of this problem is related to Einstein’s theory of relativity. Einstein’s special theory of relativity, supported by many experiments, requires and obeys something like a principle of locality [1] [2].
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