Short review of the Weyl geometry is given. To describe the phenomenological
particle creation we suggest the modified perfect fluid model taking into
account the back reaction on the geometry of both the already created particles
and the very process of their creation. It is found that the relation for
particle creation is conformal invariant. This requires the creation law
consisting of the source terms as the Weyl Lagrangian plus two quite new terms
depending of the particle number density.
Short review of the Weyl geometry is given. To describe the phenomenological particle creation we suggest the modified perfect fluid model taking into account the back reaction on the geometry of both the already created particles and the very process of their creation. It is found that the relation for particle creation is conformal invariant. This requires the creation law consisting of the source terms as the Weyl Lagrangian plus two quite new terms depending on the particle number density.
Conclusions
- The Weyl geometry provides a framework for understanding particle creation.
- A modified perfect fluid model is proposed to describe particle creation, considering the back reaction on the geometry.
- The relation for particle creation is found to be conformal invariant.
- The creation law consists of source terms including the Weyl Lagrangian and two new terms dependent on the particle number density.
Roadmap for the Future
Challenges
- Further Theoretical Development: One of the challenges going forward will be to develop further theoretical understanding of the modified perfect fluid model and its implications for particle creation.
- Experimental Verification: Experimental verification of the proposed modified perfect fluid model and its conformal invariance will be crucial in validating the findings and expanding our knowledge in this field.
- Predictive Power: Exploring the predictive power of the creation law, including the newly introduced terms dependent on particle number density, will be important to understand their role in real-world scenarios.
Opportunities
- Advancements in Cosmology: Understanding particle creation and its relation to the Weyl geometry can provide valuable insights into cosmological phenomena and the evolution of the universe.
- Technological Applications: Exploring the modified perfect fluid model and conformal invariance in particle creation may open up new avenues for technological advancements, such as energy generation or particle manipulation.
- Theoretical Breakthroughs: Further research in this field has the potential to contribute to broader theoretical breakthroughs in physics and our understanding of fundamental particles and their interactions.
Overall, the study of particle creation within the framework of Weyl geometry presents exciting opportunities for both theoretical advancements and practical applications. However, challenges such as further theoretical development, experimental verification, and exploring the predictive power of the creation law must be overcome to fully grasp the potential of this research.