Mass Generation by a Massless Scalar Field

Abstract

We propose a possibility of qualitatively taking into account the mutual influence of two gravitationally interacting null strings (thin tubes of a massless scalar field) on the motion of each of them. It is shown that it is possible to implement a self-consistent motion of two null strings in which their mutual gravitational influence leads to vibrations of each string inside a bounded spatial region. Such systems of gravitationally interacting null strings can be considered as primary particles in a null string gas with a nonzero rest mass. Gravitationally interacting primary particles can combine into more complex formations, “macro” objects. A peculiar feature of such “macro” formations in the null string gas is the fundamental impossibility of having a completely formed structure (in the null string gas, there are inevitable processes leading to a random (dynamic) change in the number of null strings that gravitationally belong to the “macro” object). By averaging various spatial distributions of “macro” formations over time, it is possible to introduce the concepts of “substance” and “interaction fields” in the null string gas.