The non-Abelian Yang-Mills gauge theory was discovered in 1954. With it holds much of the success of modern gauge theories, for example, both QED and QCD. However, by ignoring the findings of superstring theories for the moment, investigators have now admitted that a gauge theory for the quantum of the gravitational field cannot be formulated using non-Abelian Yang-Mills gauge invariance. On the other hand, a first question can be posted to this forum: Can an Abelian Yang-Mills gauge theory be able to formulate a quantum theory of the gravitational field? This will now be presented for discussion.
At the outset it is agreed by many investigators that the standard model of the elementary particles of high energy physics cannot be accepted completely and without question unless the scalar spin zero Higgs boson can be discovered by the LHC at CERN. Now, interestingly, the second question is whether an Abelian Yang-Mills gauge theory would jeopardize the search for this boson to the extent that it can be postulated of its nonexistence and proven by plausible mathematics thus making the search for the Higgs boson into a null experiment analogous to the search of the aether frame near the end of the 19th century. Chronologically, the null experiment of the aether frame was instrumental for the discovery of special relativity. The same would not be true if an Abelian Yang-Mills gauge theory predicted the nonexistence of the Higgs boson. Reports at CERN indicated that data collection at the TeV thresholds is completed and ready for the initial data analyses which might take several years, say, the next 15 years. However, if Abelian Yang-Mills gauge theory can be formulated by the end of this year then it can save many years of wasted time and resources for searching what truly is a ghost particle, an idea first introduced by Feynman in 1963. It is a fictitious particle added during the calculations of a theory but vanished after the calculations is done, where and when its interaction probability is reduced to exactly zero.


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