High Energy Particle Physics

    

Post-Carrollian Mechanics, Ideal Gas, and Gravity

Authors: Mojtaba Najafizadeh

Energy and momentum in Newtonian mechanics have the familiar relations, (E=mv2∕2) and (P=mv), derived from the nonrelativistic limit of special relativity. In this study, we find the corresponding relations to formulate the so-called "post-Carrollian mechanics" by applying the ultra-relativistic limit to tachyon theory, resulting in (E=mc3∕v) and (P=v̂mc3∕2v2). Using these, we determine the energy-momentum relation and investigate the thermodynamics of an ideal gas composed of post-Carroll particles. Moreover, by applying the ultra-relativistic limit to Einstein’s equations coupled to tachyon dust, we find the post-Carrollian gravitational potential. Finally, utilizing the geodesic equation, we determine the post-Carrollian gravitational field, which unlike the Newtonian case is found to be radially outward.

Comments: 32 Pages. Published in IJMPA, DOI: 10.1142/S0217751X25501222. A 10 min explanation is available at: https://m.youtube.com/watch?v=djnYDZZ1Jd0

Download: PDF

Submission history

[v1] 2025-08-29 21:07:43

Unique-IP document downloads: 220 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus