arXiv:2508.14149v1 Announce Type: new
Abstract: We investigate the different meanings that the concept of Quantum Bounce acquires in various formalisms. The original idea refers to the phenomenology that appears in the Klein-Gordon framework when homogeneous cosmologies are considered. In that case, the Quantum Bounce describes the quantum scattering between a collapsing and an expanding Universe branch, and therefore provides a quantum description of the semiclassical Big Bounce mechanism. Here, we show that the proposal of the Quantum Big Bounce is well-grounded, thanks to the computation of the volume operator mean values and its standard deviation in the Wheeler-DeWitt framework for the isotropic case. Then, we analyze the Bianchi models in the Dirac approach, now showing that the Quantum Bounce concept can be implemented to describe the Kasner transitions of the Belinski-Khalatnikov-Lifshitz map at a quantum level. In summary, the quantum scattering framework borrowed from particle physics can serve as a good model for different cosmological scenarios, which can exhibit scalar-like or fermionic-like behaviours depending on how the anisotropies are described in the dynamics.
Conclusions
The concept of Quantum Bounce has different meanings across various formalisms, such as the Klein-Gordon framework and the Wheeler-DeWitt framework. In the context of homogeneous cosmologies, Quantum Bounce describes the quantum scattering between collapsing and expanding Universe branches, providing a quantum description of the semiclassical Big Bounce mechanism. The proposal of Quantum Big Bounce is supported by the computation of the volume operator mean values and standard deviation in the Wheeler-DeWitt framework for the isotropic case. Additionally, the application of the Quantum Bounce concept to Bianchi models in the Dirac approach allows for the description of Kasner transitions at a quantum level.
Future Roadmap
- Further investigate the implications of Quantum Bounce in different cosmological scenarios.
- Explore how anisotropies impact the scalar-like or fermionic-like behaviors observed in Quantum Bounce dynamics.
- Develop computational models to simulate and study Quantum Bounce phenomena in more complex cosmological systems.
- Collaborate with experimental physicists to devise potential tests or observations that could validate Quantum Bounce predictions.
Potential Challenges
- Complexity of mathematical formalisms and computational methods involved in studying Quantum Bounce.
- Interdisciplinary collaboration required to combine insights from quantum physics and cosmology.
- Lack of experimental data or observational evidence to verify Quantum Bounce predictions.
Opportunities on the Horizon
By leveraging advances in quantum physics and cosmology, the exploration of Quantum Bounce opens up new avenues for understanding the fundamental nature of the Universe’s evolution. The integration of theoretical insights with experimental observations could potentially revolutionize our understanding of cosmic phenomena and provide novel perspectives on the origins and fate of the cosmos.