2022/07/29 by Pedro Fernández de Córdoba, de Cordoba, P. Fernandez, R. Gallego Torrome +5 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2207.14611
openalex publication_date 2022/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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/r2 represents the cosmological constant Λ. The experimentally measured value of Λ is one of the eigenvalues of 1/r2. Next we solve the Poisson equation ∇2U=Λ for the gravitational potential U(r), with the cosmological constant Λ(r)=1/r2 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.