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- Title
On the cosmological constant as a quantum operator.
- Authors
De Córdoba, P. Fernández; Torromé, R. Gallego; Gavasso, S.; Isidro, J. M.
- Abstract
We regard the cosmological fluid within an exponentially expanding FLRW spacetime as the probability fluid of a nonrelativistic Schroedinger field. The scalar Schroedinger particle so described has a mass equal to the total (baryonic plus dark) matter content of the Universe. This procedure allows a description of the cosmological fluid by means of the operator formalism of nonrelativistic quantum theory. Under the assumption of radial symmetry, a quantum operator proportional to 1 / r 2 represents the cosmological constant Λ. The experimentally measured value of Λ is one of the eigenvalues of 1 / r 2 . Next we solve the Poisson equation ∇ 2 U = Λ for the gravitational potential U (r) , with the cosmological constant Λ (r) = 1 / r 2 playing the role of a source term. It turns out that U (r) includes, besides the standard Newtonian potential 1 / r , a correction term proportional to ln r identical to that appearing in theories of modified Newtonian dynamics.
- Subjects
COSMOLOGICAL constant; QUANTUM operators; NONRELATIVISTIC quantum mechanics; FRIEDMANN equations; GRAVITATIONAL potential
- Publication
International Journal of Geometric Methods in Modern Physics, 2023, Vol 20, Issue 4, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887823500652