Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

A New Lorentz Violating Model with Particle’s "Maximum Energy"

Version 1 : Received: 15 November 2020 / Approved: 17 November 2020 / Online: 17 November 2020 (14:57:18 CET)
Version 2 : Received: 27 December 2020 / Approved: 28 December 2020 / Online: 28 December 2020 (11:53:29 CET)

How to cite: Hu, J.; Hu, H. A New Lorentz Violating Model with Particle’s "Maximum Energy". Preprints 2020, 2020110458 (doi: 10.20944/preprints202011.0458.v2). Hu, J.; Hu, H. A New Lorentz Violating Model with Particle’s "Maximum Energy". Preprints 2020, 2020110458 (doi: 10.20944/preprints202011.0458.v2).

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.

Subject Areas

Lorentz model; ultrahigh energy; Gamma ray burst; rainbow model; variable speed of light; time lag

Comments (1)

Comment 1
Received: 28 December 2020
Commenter: Jinwen Hu
Commenter's Conflict of Interests: Author
Comment: We have made partial revisions to the paper, the main modification is to add some explanatory descriptions to make the paper easier to understand.
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