| Issue |
EPL
Volume 148, Number 3, November 2024
|
|
|---|---|---|
| Article Number | 30001 | |
| Number of page(s) | 7 | |
| Section | General physics | |
| DOI | https://doi.org/10.1209/0295-5075/ad8b65 | |
| Published online | 13 November 2024 | |
Fractional quantum mechanics meets quantum gravity phenomenology
1 Physics Department, Federal University of Paraíba - Caixa Postal 5008, 58059-900, João Pessoa, PB, Brazil
2 Department of Chemistry and Physics, Federal University of Paraíba - Rodovia BR 079 - km 12, 58397-000 Areia-PB, Brazil
Received: 23 September 2024
Accepted: 25 October 2024
This letter extends previous findings on the modified Schrödinger evolution inspired by quantum gravity phenomenology. By establishing a connection between this approach and fractional quantum mechanics, we provide insights into a potential deep infrared regime of quantum gravity, characterized by the emergence of fractal dimensions, similar to behaviors observed in the deep ultraviolet regime. Additionally, we explore the experimental investigations of this regime using Bose-Einstein condensates. Notably, our analysis reveals a direct implication of this analogy: general experiments probing fractional quantum mechanics may serve as equivalent models of quantum gravity. We identify instances of nonlocal behavior in such systems, suggesting an analogous phenomenon of nonlocality in quantum gravity.
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