A More Rational Scheme for C,P,T Transformations and Elimination of Reversibility Paradox in Time Reversal as well as T Violation in Weak Interaction

A more rational and perfect scheme of C,P, T transformations is advanced in the manuscript. In the new scheme, the transition probability densities are invariable under C,P, T transformations individually in the pure sate processes of electromagnetic and strong interactions. In some processes of weak interaction such as K and B meson’s decays, CP and T symmetries are violated simultaneously and the violations are just complementary. Meanwhile the Hamiltonians of strong, weak and electromagnetic interactions are completely unchanged under the united CPT transformation. On the other hand, in the processes of mixing states of electromagnetic interaction, T and C symmetries are violated simultaneously owing to the interference effects of probability amplitudes between mixing states, and the T and C violations are also complementary. In this way, the so-called reversibility paradox, i.e. time reversal is reversible in the microprocesses but irreversible in the macro-processes, can be eliminated completely. It can also provide a more rational foundation to explain the origin of so big asymmetry of positive and anti-matter in the current university. PACS number: 1130 1.Introduction According to current theory, time reversal is unchanged in interactions between micro-particles except some decay processes of neutral K and B mesons. However, in the macro-processes, symmetry of time reversal is obviously violated. Because macro-system is composed of micro-particles, so there exists so-called reversibility paradox. The contradiction exists for a long time but can’t find a rational solution up to now. In order to let the Hamiltonian of interaction and the transition probability amplitudes keep unchanged under time reversal, according to the current definition of time reversal operators, the time reversal of generation operators are still generation operators, and the time reversal of annihilation operators are still annihilation operators. This kind of definition is improper, for it can’t agree with practical situations. In the particle interaction processes, generation operators should become annihilation operators and annihilation operators should become generation operators after time reversal. On the other hand, according to the definition of time reversal invariability, the Hamiltonian of electromagnetic interaction should satisfy TH(~x, t)T = H⋆(~x,−t). But as proved in the paper, this condition can’t be satisfied actually. So the current theory of time reversal should be reformed. Considering the fact that what can be measured directly in experiments is probability densities, instead of probability amplitudes, for an invariable theory of time reversal, it is enough for us if the transition probability densities keep unchanged under time reversal. So it is suggested that the time reversal transformations of generation and annihilation operators should be redefined. In the new transformations, generation operators become annihilation operators and annihilation operators become generators under time reversal. In this way, the transition probability amplitude can’t keep unchanged but the transition probability densities do under time reversal. The propagation function of the Fermion would change its sign under time reversal while the propagation function of the Boson would not. For the electromagnetic interaction in the pure state processes just as the collisions of electron-electron or electron-photon, transition probabilities would keep unchanged under time reversal, the results agrees with the current theory and the experiments of particle physics. But for the mixing states, for example, there exist both interactions between electron-electron and electron-photon simultaneously, or more complex situation in macro-systems, the symmetries of time reversals are violated by interference between pure states