Post-Carrollian Mechanics, Ideal Gas, and Gravity
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908637242327040 |
|---|---|
| author | Najafizadeh, Mojtaba |
| author_facet | Najafizadeh, Mojtaba |
| contents | Energy and momentum in Newtonian mechanics have the familiar relations, ($\mathrm{E}=mv^2/2$) and ($\mathbf{P}=m\mathbf{v}$), derived from the non-relativistic 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 ($\mathrm{E}={m\,c^{\,3}}/{v}$) and ($\mathbf{P}=\mathbf{\hat{v}}\,{m\,c^{\,3}}/{2\,v^{\,2}}$). 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Post-Carrollian Mechanics, Ideal Gas, and Gravity Najafizadeh, Mojtaba General Physics Energy and momentum in Newtonian mechanics have the familiar relations, ($\mathrm{E}=mv^2/2$) and ($\mathbf{P}=m\mathbf{v}$), derived from the non-relativistic 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 ($\mathrm{E}={m\,c^{\,3}}/{v}$) and ($\mathbf{P}=\mathbf{\hat{v}}\,{m\,c^{\,3}}/{2\,v^{\,2}}$). 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. |
| title | Post-Carrollian Mechanics, Ideal Gas, and Gravity |
| topic | General Physics |
| url | https://arxiv.org/abs/2509.14330 |