Emergence of gravity, fermion, gauge and Chern–Simons fields during formation of N-dimensional manifolds from joining point-like ones

Abstract

In this paper, we will consider the birth and evolution of fields during formation of [Formula: see text]-dimensional manifolds from joining point-like ones. We will show that at the beginning, only there are point-like manifolds which some strings are attached to them. By joining these manifolds, 1-dimensional manifolds are appeared and gravity, fermion, and gauge fields are emerged. By coupling these manifolds, higher dimensional manifolds are produced and higher orders of fermion, gauge fields and gravity are emerged. By decaying [Formula: see text]-dimensional manifold, two child manifolds and a Chern–Simons one are born and anomaly is emerged. The Chern–Simons manifold connects two child manifolds and leads to the energy transmission from the bulk to manifolds and their expansion. We show that [Formula: see text]-gravity can be emerged during the formation of [Formula: see text]-dimensional manifold from point-like manifolds. This type of [Formula: see text]-gravity includes both type of fermionic and bosonic gravity. [Formula: see text]-fields and also [Formula: see text]-fields which are produced by fermionic strings produce extra energy and change the gravity.