The Proof That There Are No Invariabilities of Lorentz Transformations in the Interaction Theories of Micro-Particle Physics
Journal of Modern Physics
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 d 3 p/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
... 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. X. C. Mei 600 p q ⋅ of four-dimensional momentum of free particles are invariable quantities of Lorentz transformations, the probability amplitudes of transitions are invariable. However, in physics, more are the interactions between bound particles in which the wave functions, energies and momentums have no symmetries of free particles. We have 2 2 p m ≠ − so that the product p q ⋅ is not the invariable quantity of Lorentz transformation again. The interaction Hamiltonians cannot be constructed by free X. C. Mei 601 particle's wave functions and physical quantities. The method of quantum theory of field may be ineffective. In this paper, we prove that the interactions between bound state's particles have no Lorentz invariability by several examples just as the scatting process of electrons in external field, the fine structure of hydrogen atomic energy levels and the emission and absorption of photons in atoms. According to current understanding, relativity quantum theory of field describes unstable particles with high speed, and non-relativity approximate quantum mechanics describes stable particles with low speeds. This classification is unsuitable for the principle of relativity principle. The principle of relativity has no approximation. If the principle of relativity is correct, it should also be effective for the micro-particles with low speeds. In fact, classical Newtonian theory also satisfies the principle of relativity. The motion equations of Newtonian mechanics are unchanged under the Galileo's transformation. However, 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! So called nonrelativities of motion equation and interaction Hamiltonians in quantum mechanics are not caused by the approximation methods of descriptions. The truth is that relativity does not exist in micro-physics at all! 5) The normalization processes of high order perturbations in quantum theory of fields violate the invariability of Lorentz transformation. We take the Lamb shift of hydrogen atomic energy levels as concrete example at first and then prove the conclusion generally. The conclusions above are generally effective for strong, weak and electromagnetic interactions. Therefore, the principle of relativity does not hold in the fields of micro-particle's interactions. However, the invariability principle of light's speed is still effective. It means that the formulas of special relativity can still hold. But they should be explained with absolute significance. In this way, 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.