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- Title
Degeneracy pressure in the presence of maximum length for non-interacting electrons.
- Authors
Parsamehr, S.; Fatahi, N.
- Abstract
Combining quantum theory with the fundamental principles of gravity results in the modification of the uncertainty principle. In this study, we employ the extended uncertainty principle (EUP) with the maximum length derived from the cosmological particle horizon. The impact of this specific kind of modification is examined in a non-interacting electron gas system. We analytically derive the generalized relations for the degeneracy pressure and the bulk modulus. An intriguing finding is that the degeneracy pressure is reduced, as confirmed by the observed size of white dwarfs, which is smaller than what is predicted by the standard theory. Nevertheless, it is still capable of providing support against gravitational collapse.
- Subjects
HEISENBERG uncertainty principle; QUANTUM theory; BULK modulus; ELECTRONS; QUANTUM gravity; GRAVITATIONAL collapse
- Publication
Modern Physics Letters A, 2024, Vol 39, Issue 11, p1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732324500391