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In the framework of the Einstein-Dirac-axion-aether theory we consider thequartet of self-interacting cosmic fields, which includes the dynamic aether,presented by the unit timelike vector field, the axionic dark mater, describedby the pseudoscalar field, the spinor field associated with fermion particles,and the gravity field. The key, associated with the mechanism ofself-interaction, is installed into the modified periodic potential of thepseudoscalar (axion) field constructed on the base of a guiding function, whichdepends on one invariant, one pseudo-invariant and two cross-invariantscontaining the spinor and vector fields. The total system of the fieldequations related to the isotropic homogeneous cosmological model is solved; wehave found the exact solutions for the guiding function for three cases:nonzero, vanishing and critical values of the cosmological constant. Based onthese solutions, we obtained the expressions for the effective mass of spinorparticles, interacting with the axionic dark matter and dynamic aether. Thiseffective mass is shown to bear imprints of the cosmological epoch and of thestate of the cosmic dark fluid in that epoch.

Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass