Generalized uncertainty principle and burning stars
arXiv:2206.13940 · doi:10.3389/fspas.2022.936352
Abstract
Gamow's theory of the implications of quantum tunneling on the star burning has two cornerstones including quantum mechanics and equipartition theorem. It has vastly been proposed that both of these foundations are affected by the existence of a non-zero minimum for length which usually appears in quantum gravity scenarios and leads to the Generalized Uncertainty principle (GUP). Mathematically, in the framework of quantum mechanics, the effects of GUP are considered as perturbation terms. Here, generalizing the de Broglie wavelength relation in the presence of minimal length, GUP correction to the Gamow's temperature is calculated and in parallel, an upper bound for the GUP parameter is estimated.
References in corpus (9)
- Universality of Quantum Gravity Corrections
- Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
- Constraining the generalized uncertainty principle with the gravitational wave event GW150914
- Statistical physics in deformed spaces with minimal length
- The Inverse Problem for Hawking Radiation
- A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
- How does the Planck scale affect qubits?
- Constraining the generalized uncertainty principle with neutron interferometry
- Minimal length implications on the Hartree-Fock theory