The wave function for the spin the early universe is obtained through the adaption of the quantum formalism to one solution of the Wheeler-DeWitt’s equation [1], associated with the wave function of the universe. In addition, some observations performed by Stephen Hawking in relation to the vorticity of the universe [2] are used. This wave function for the spin could be used for indirectly to demonstrate the presence of dark matter in the universe.
References
[1]
Athatz, D. (1994) Quantum Cosmology for Pedestrians. American Journal of Physics, 62.
[2]
Hawking, S. (1969) On the Rotation of the Universe. Mon. Monthly Notices of the Royal Astronomical Society, 142, 129-141.
[3]
Spiegel, M.R. (1990) Laplace Transforms. McGraw-Hill/Interamericana de México, S.A. de C.V., 65-66.
[4]
Gott III, J.R. and Li, L.-X. (1998) Can the Universe Create Itself? Physical Review D, 58, 023501-1, 023501-43.
[5]
Lü, H., Maharana, J., Mukherji, S. and Pope, C.N. (1998) Cosmological Solutions, P-Branes, and the Wheeler-DeWitt Equation. Physical Review D, 57, 2219-2229. https://doi.org/10.1103/PhysRevD.57.2219
[6]
Overduin, J. and Cooperstock, F.J. (1998) Evolution of the Scale Factor with a Variable Cosmological Term. Physical Review D, 58, 43506-1, 43506-23.
[7]
Yndurain, F. (1988) Quantum Mechanic. Alianza Editorial, S.A., Madrid, 23-36.
