TITLE:
The Proof That There Are No Invariabilities of Lorentz Transformations in the Interaction Theories of Micro-Particle Physics
AUTHORS:
Xiaochun Mei
KEYWORDS:
Principle of Relativity, Lorentz Invariability Violation, Quantum Theory of Filed, Quantum Mechanics, Phase Space Factor, Propagation Function, Normalization, CMBR, Cosmology
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.8,
May
28,
2014
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.