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تسجيل مستخدم جديدThe intrinsic helicity of the elementary particles and the proof of the spin-statistics theorem
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The traditional Standard Quantum Mechanics is unable to solve the Spin-Statistics problem, i.e. to justify the utterly important Pauli Exclusion Principle. We show that this is due to the non completeness of the standard theory due to an arguable conception of the spin as a vector characterizing the rotational properties of the elementary particles. The present Article presents a complete and straightforward solution of the Spin-Statistics problem on the basis of the Conformal Quantum Geometrodynamics, a theory that has been proved to reproduce successfully all relevant processes of the Standard Quantum Mechanics based on the Dirac or Schrodinger equations, including Heisenberg uncertainty relations and nonlocal EPR correlations. When applied to a system made of many identical particles, an additional property of all elementary particles enters naturally into play: the intrinsic helicity. This property determines the correct Spin-Statistics connection observed in Nature.
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The traditional standard theory of quantum mechanics is unable to solve the spin-statistics problem, i.e. to justify the utterly important qo{Pauli Exclusion Principle} but by the adoption of the complex standard relativistic quantum field theory. In
a recent paper (Ref. [1]) we presented a proof of the spin-statistics problem in the nonrelativistic approximation on the basis of the qo{Conformal Quantum Geometrodynamics}. In the present paper, by the same theory the proof of the Spin-Statistics Theorem is extended to the relativistic domain in the general scenario of curved spacetime. The relativistic approach allows to formulate a manifestly step-by-step Weyl gauge invariant theory and to emphasize some fundamental aspects of group theory in the demonstration. No relativistic quantum field operators are used and the particle exchange properties are drawn from the conservation of the intrinsic helicity of elementary particles. It is therefore this property, not considered in the Standard Quantum Mechanics, which determines the correct spin-statistics connection observed in Nature [1]. The present proof of the Spin-Statistics Theorem is simpler than the one presented in Ref. [1], because it is based on symmetry group considerations only, without having recourse to frames attached to the particles.
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