The peer-reviewed International Journal of Mathematics and Mathematical Sciences has published an article of mine showing a possible inconsistency between kinematics and dynamics in special relativity via designing a thought experiment. However, I am slightly doubtful about the chosen upper bound of the involved integrations. [See Eqs. (17,19,20) in the article link at the bottom of this post.]

The reviewer, according to point #2 of his report [See Attachment 1.], guessed that this bound had better be chosen 2π, whereas I insisted it to be the Lorentz contracted 2παu′. I could finally convince the reviewer that 2παu′ is a more rational choice, esp., seeing the reasons stated in Appendix B of the article, and thus the reviewer voted to publish the article in his final report. [See Attachment 2.]

Since the correct value for the upper bound of the integrations may resolve the paradox explained in the article, I would appreciate any comment or explanation regarding this matter.

Link to the article:

Article The Mechanical Behavior of a Multispring System Revealing Ab...