Strings as Physical Lines in Vacuum: Basic Concepts for the Computation of the Planck Length and the Planck Mass

Abstract

Certain linear objects, termed physical lines, are considered, and initial assumptions concerning their properties are introduced. A closed physical line in the form of a circle, termed J-string, is singled out for investigation. It is shown that this curve consists of indivisible line segments of length $\ell_\Delta$. It is assumed that a J-string has an angular momentum whose value is $\hbar$.It is then established that a J-string of radius $R$ possesses a mass $m_J$, equal to $h/2\pi c R$, a corresponding energy, as well as a charge $q_J$, where $q_J = (hc/2\pi)^{1/2}$. It is also established that $\ell_\Delta = 2\pi(hG/c^3)^{1/2}$, where $c$ is the speed of light and $G$ is the gravitational constant. % Based upon investigation of the properties and characteristics of J-strings, a method is developed for the computation of the Planck length and mass $(\ell^*_P, m^*_P)$. The values of $\ell^*_P$ and $m^*_P$ are computed according to the resulting formulae (and given in the paper); these values differ from the currently accepted ones.