Subjects: Physics >> Geophysics, Astronomy, and Astrophysics submitted time 2021-06-26
Abstract： In this paper we introduced a parameter n to characterize the variation of the speed of light between different inertial systems. In order to satisfy the well-known fundamental principle and not violate some reliable experiments’ results, we should impose some necessary constraints on n. Firstly and importantly, the introduction of n should be in agree with the following three principles: (1)we can define the time in the whole space with a prescribed clock synchronization, (2)the time-space is uniform and the space is isotropic and (3)all the inertial systems are equivalent, which are the inheritance of the special relativity (SR). With some constraints on n, we construct a general coordinate transformation to meet the symmetry of inertial systems. In recent years, many theories have shown the interest in the breakdown of the Lorentz invariance at ultrahigh energy scale, such as the quantum gravity, which imply that the energy of particle has a limited value (called the “Planck energy”) rather than be infinite derived from the Lorentz model. So we construct an expression for n to characterize the violation of Lorentz model. And further, by comparing with the well-known rainbow model, we found that the "maximum energy" derived in our paper is somewhat related to the "maximum energy" assumed in the rainbow model." "
Peer Review Status:
Awaiting Review
Subjects: Physics >> Geophysics, Astronomy, and Astrophysics submitted time 2021-01-24
Abstract： In this paper we re-investigated the relationship between the symmetry of inertial systems and the Lorentz transformation. We found that when we just follow the following three principles: (1)we can define the time in the whole space with a prescribed clock synchronization, (2)the time-space is uniform and the space is isotropic and (3)all the inertial systems are equivalent, then we can totally construct a general coordinate transformation to meet the symmetry of inertial systems, and with a special assumption on the speed of light, we can construct a non-Lorentz transformation between inertial systems to make the particle’s energy have a limited value, which is similar to the rainbow model. Similar to the usual Lorentz violating models, the non-Lorentz transformation in this paper lead to a new modified disperse relation. We applied the obtained disperse relation to analyze the photon’s arrival time lag effect in astronomy and found that the "maximum energy" derived in our model is somewhat related to the "maximum energy" assumed in the rainbow model.
Peer Review Status:Awaiting Review
Subjects: Physics >> Geophysics, Astronomy, and Astrophysics submitted time 2019-11-09
Abstract： In Lorentz violation models, the rainbow model is usually discussed, as the rainbow model can make the energy of a particle have a limit rather than be infinite derived from the Lorentz transformation, which is considered to be necessary in the theory of Quantum Gravity. However, this paper shows that it isn’t necessary to restrict the speed of light to be a constant when we just agree with the next three principles: (1)we can define the time in the whole space with a prescribed clock synchronization, (2)the time-space is uniform and the space is isotropic and (3)all the inertial systems are equivalent. And base on the above three principles and as a result of variable speed of light, we can construct a general coordinate transformation to satisfy the symmetry of inertial systems and construct a non-Lorentz transformation between inertial systems to make the energy of a particle have a limit, which is the same as the rainbow model. In addition, in recent papers, as a test at the ultrahigh energy scale, the rainbow model is used to study the Gamma ray burst, such as the GRB 160509A event, which was strongly suggested that there exists a linear relation between the variable speed of light and the photon’s energy. So we also analyzed the same event and we found that our model also support the same conclusion as the rainbow model and there was some correlation between our model and the rainbow model. In final we briefly discussed how to verify the two models in the future particle’s experiments at the ultrahigh energy scale.
Peer Review Status:Awaiting Review
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