Abstract
It is proved in this paper that there are at least five situations in the interaction theories of microparticle physics that the Lorentz transformations have no invariabilities. 1) In the formula to calculate transition probabilities in particle physics, the so-called invariability factor of phase space d3p/E is not invariable actually under the Lorentz transformations. Only in one-dimensional motion with uy = uz = 0, it is invariable. 2) The propagation function of spinor field in quantum theory of field has no invariability of Lorentz Transformation actually. What appears in the transformation is the sum of Lorentz factors aμνaλμ ≠ δνλ when ν, λ = 1, 4, rather than aμνaλμ = δνλ. But in the current calculation, we take aμνaλμ = δνλ. The confusion of subscript’s position leads to wrong result. 3) Though the motion equations of quantum fields and the interaction Hamiltonian are unchanged under the Lorentz transformation, the motion equation of perturbation which is used to calculate the transition probability in the interaction representation has no invariability. 4) The interactions between bound state’s particles have no Lorentz invariability. In fact, the principle of relativity has no approximation if it holds. 5) The calculation methods of high order perturbations normalization processes in quantum theory of fields violate the invariability of Lorentz transformation. The conclusions above are effective for strong, weak and electromagnetic interactions and so on. Therefore, the principle of relativity does not hold in the micro-particle’s interactions. On the other hand, the invariability principle of light’s speed is still effective. So the formulas of special relativity still hold, but we should consider them with absolute significances.
Highlights
The Einstein’s special relativity is based on two foundational principles
Because the motion equations and interactions Hamiltonians in quantum theory of field are considered invariable under Lorentz transformation, physicists believes that interaction processes of micro-particles satisfy the principle of relativity
Because the propagation function of spinor field has no invariability of Lorentz transformation, the probability amplitude M fi containing the propagation lines of Fermion violates the symmetry of Lorentz transformation
Summary
The Einstein’s special relativity is based on two foundational principles. One is the principle of relativity and another is the invariability of light’s speed. Because the motion equations and interactions Hamiltonians in quantum theory of field are considered invariable under Lorentz transformation, physicists believes that interaction processes of micro-particles satisfy the principle of relativity. Even the most foundational normalization formulas of probability wave in quantum theory of field and quantum mechanics have no invariability of Lorentz transformation too. The motion equations and Hamiltonians of nonrelativity quantum mechanics cannot keep unchanged no matter under the Galileo’s transformation or the Lorentz’s transformation This fact indicates that micro-particle physics has no relativity in essence! The experiments of micro-particles and the observations of macro-cosmology become consistent and the contradiction between cosmology and special relativity can be eliminated thoroughly
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