“School of Physic”
Back to Papers HomeBack to Papers of School of Physic
| Paper IPM / Physic / 18324 |
|
| Abstract: | |
|
Energy and momentum in Newtonian mechanics have the familiar relations, (E=mv2â2) and (P=mv), derived from the nonrelativistic limit of special relativity. In this study, we find the corresponding relations to formulate the so-called âpost-Carrollian mechanicsâ by applying the ultra-relativistic limit to tachyon theory, resulting in (E=mc3âv) and (P=Ëvmc3â2v2). 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 Einsteinâs 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.
Download TeX format |
|
| back to top | |
