Fermionic origin of dark energy in the inflationary universe from unified spinor fields

Abstract

In this work we explore the boundary conditions in the Einstein-Hilbert action, by considering a displacement from the Riemannian manifold to an extended one. The latter is characterized by including spinor fields into the quantum geometric description of spacetime. These fields are defined on the background spacetime, emerging from the expectation value of the quantum structure of spacetime generated by matrices that comply with a Clifford algebra. We demonstrate that spinor fields are candidate to describe all known interactions in physics, with gravitation included. In this framework we demonstrate that the cosmological constant Λ, is originated exclusively by fermionic fields and therefore these coherent fields could be the primordial components of dark energy. Finally, we calculate Λ in a de Sitter (inflationary) expansion of the universe.

Current survey of Clifford geometric algebra applications

“…Finally, Arcodia and Bellini 164 explore the boundary conditions in an Einstein–Hilbert action, by considering a displacement from the Riemannian manifold to an extended one, characterized by including spinor fields into the quantum geometric description of a non‐commutative spacetime. These fields are defined on the background spacetime, emerging from the expectation value of the quantum structure of spacetime generated by Clifford algebra matrices.…”

Ricci flow in general relativity: dynamics of gluon fields on an arbitrary curved background from unified spinor fields

“…, we shall consider the quantum action 8 The reader can see a detailed explanation of fermion quantization in Sect. V of [16]. [19].…”

“…A natural question to ask is how to generalize the non-minimal spinor string to curved backgrounds, but the more important question is how to construct a string non-perturbative formalism on a curved background which can be explained from a non-commutative quantum space-time. A proposal named Unified Spinor Fields (USF) was recently introduced with the aim to resolve this question with a quantization of the space-time included [12][13][14][15][16], by taking into account also self-interactions of quantum spinor fields. The USF theory is developed in 8 dimensions, 4 of them related to the space-time coordinates ( m x ), and the other 4 related to the inner space (f m ), and are compact coordinates which have spin components as canonical momentums: ( m s ).…”

Quantum magnetic monopoles at the Planck era from unified spinor fields

“…Additionally, we shall use a recently introduced extended manifold [14] to describe quantum geometric spinor fields Ψα , where the connections are…”

“…In this work we shall study the origin of magnetic monopoles as quantum excitations of the vacuum of very massive and charged spin 1-bosons, which are topologically stable because the existence of structure coefficients originated by the quantum algebra that comply these bosons. To study this issue we shall use the Unified Spinor Fields (USF) theory, which was introduced in some recent works [12][13][14]. Because we are interested in the study of this phenomena at the beginning of the universe we shall consider the preinflationary scenario [15][16][17].…”