arXiv:2502.13152v1 Announce Type: new
Abstract: The Lagrangian formulation of Gravitoelectromagnetism (GEM) theory is considered. GEM is a gravitational theory constructed based on the similarities between gravity and electromagnetism. In this framework, we investigate gravitational Compton scattering by calculating its cross section at both zero and finite temperatures. Thermal effects are introduced via the Thermo Field Dynamics formalism. Some comparisons between GEM theory and QED have been developed. The limits of high temperature have been analyzed.
GEM Theory and Gravitational Compton Scattering
In this article, we explore the Lagrangian formulation of Gravitoelectromagnetism (GEM) theory and its application to gravitational Compton scattering. GEM is a gravitational theory that draws upon similarities between gravity and electromagnetism, providing a new perspective on gravitational interactions.
The Lagrangian Formulation of GEM Theory
GEM theory is formulated using a Lagrangian approach, which allows us to study the dynamics of gravitational fields and their interactions. This provides a powerful framework for investigating gravitational phenomena and comparing them to their electromagnetic counterparts.
Gravitational Compton Scattering
By applying GEM theory, we can study gravitational Compton scattering, a process where a gravitational wave interacts with a particle and changes its momentum. We calculate the cross section for this scattering process at both zero and finite temperatures.
Thermal Effects and Thermo Field Dynamics
Incorporating thermal effects into the study of gravitational Compton scattering, we utilize the Thermo Field Dynamics formalism. This allows us to account for the influence of temperature on the scattering process and explore its implications.
Comparisons with QED
We also compare GEM theory to Quantum Electrodynamics (QED), the theory of electromagnetic interactions. This analysis helps us understand the similarities and differences between gravitational and electromagnetic interactions, shedding light on the nature of gravity itself.
Limits of High Temperature
We analyze the limits of high temperature within the context of GEM theory. This investigation provides insights into the behavior of gravitational Compton scattering at extreme thermal conditions and contributes to our understanding of gravitational interactions in various environments.
Roadmap for Readers
This article begins by introducing the Lagrangian formulation of GEM theory and its application to gravitational Compton scattering. We delve into the theoretical framework, discussing the similarities and differences between gravity and electromagnetism. Through the calculations of cross sections, we explore the effects of temperature on gravitational Compton scattering using the Thermo Field Dynamics formalism. Additionally, we compare GEM theory to QED to gain a comprehensive understanding of gravitational interactions. Finally, we analyze the limits of high temperature and their implications for gravitational Compton scattering.
Challenges and Opportunities
- Challenge: The study of GEM theory and gravitational Compton scattering requires a deep understanding of advanced theoretical concepts. Readers may need to familiarize themselves with Lagrangian formalism and the basics of GEM theory before proceeding.
- Opportunity: Exploring the similarities between GEM theory and QED provides an exciting avenue for interdisciplinary research, potentially leading to insights into quantum gravity.
- Challenge: Incorporating thermal effects into the study of gravitational Compton scattering introduces additional complexities, requiring readers to grasp the Thermo Field Dynamics formalism.
- Opportunity: Investigating the limits of high temperature in GEM theory opens possibilities for understanding gravitational interactions in extreme environments, such as the early universe or black hole surroundings.