New Theoretical Problems with the Higgs Boson Idea

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The rules of Wikipedia say that it describes the consensus. At the time when these lines are written, Wikipedia uses the following words for describing an important attribute of the Higgs boson: It "explains why some fundamental particles have mass when, based on the symmetries controlling their interactions, they should be massless" (see here ).

In order to evaluate the Higgs idea, let us point out the following issues.
  1. Special Relativity has a very solid experimental basis and it is an unquestionable theoretical element of contemporary physics.
  2. The Poincare group and its representations are regarded as uquestionable elements of the mathematical structure of Special Relativity (see [1]; [2], pp. 44-53; [3] pp. 143-150).
  3. Wigner's work [1] is described by the following words: "It is difficult to overestimate the importance of this paper, which will certainly stand as one of the great intellectual achievements of our century" (see [3], p. 149).
A fundamental conclusion of Wigner's work states that particles may belong to either of the following distinct categories: massive particles and massless particles. Massive particles are characterized by their spin whereas massless particles are characterized by their helicity. It means that the Higgs idea where a particle is cast from a massless state into a massive state looks inconsistent with special relativity in general and with Wigner's analysis of the Poincare group in particular.

And indeed, a recently published article proves that the Higgs boson idea is plagued with many specific contradictions. For details, click here .


References:

[1] E. Wigner, Ann. Math. 40, 149 (1939).
[2] S. S. Schweber, An Introduction to Relativistic Quantum Field Theory (Harper & Row, New York, 1964).
[3] S. Sternberg, Group Theory and Physics (Cambridge University Press, Cambridge, 1994).