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

Abstract

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

Dynamic Aether as a Trigger for Spontaneous Spinorization in Early Universe

“…In addition, the models describing the interaction of the spinor and scalar fields [48], as well as the spinor and pseudoscalar (axion) fields, ref. [49] have been studied. We introduce the new element of the Lagrangian β(Θ, S, P 2 ), which depends on the scalar of expansion of the aether flow Θ = ∇ k U k .…”

An Isotropic Cosmological Model with Aetherically Active Axionic Dark Matter

“…In other words, we use four differential invariants (the expansion scalar of the aether flow, Θ = ∇ k U k , the squares of the four-vector acceleration, and of the shear and vorticity tensors, a 2 , σ 2 , ω 2 , respectively), as the arguments of the parameters included in the equations of state. This means that we follow the paradigm of aetheric control over the evolution of physical systems (see, e.g., [18][19][20][21][22]). We must emphasize that, depending on the spacetime symmetry of the model, a part of the listed arguments can disappear.…”