Naturalness in an emergent analogue spacetime

Area of Science:

• Theoretical Physics
• Quantum Gravity Phenomenology
• Condensed Matter Physics

Background:

• Effective Field Theories (EFTs) are used to constrain Planck-suppressed Lorentz violations in quantum gravity models.
• A key challenge, the 'naturalness' problem, arises in EFTs when trying to ensure small Lorentz violations remain small.

Purpose of the Study:

• To present an emergent spacetime model based on analogue gravity.
• To investigate a specific condensed-matter system exhibiting Lorentz invariance violation.
• To demonstrate a framework that avoids the EFT naturalness problem for quantum gravity phenomenology.

Main Methods:

• Investigated a condensed-matter system: two-component Bose-Einstein Condensates (BECs).
• Utilized laser-induced transitions between BEC components.
• Applied the analogue gravity framework to model emergent spacetime phenomena.

Main Results:

• Showcased a two-component BEC system as an example of Lorentz invariance violation originating from ultraviolet physics.
• Demonstrated that the proposed emergent spacetime model explicitly circumvents the naturalness problem.
• Provided a physically plausible approach for constructing quantum gravity phenomenology.

Conclusions:

• The analogue gravity approach using BECs offers a viable framework for studying quantum gravity.
• This model provides a solution to the naturalness problem in the context of Lorentz violation.
• It opens new avenues for experimentally relevant quantum gravity phenomenology.