The Concept of a J-string

Abstract

Certain linear objects, termed physical lines, are considered, and initial assumptions concerning their properties are introduced. A physical line in the form of a circle is called a J-string. 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 $h/2πc R$, a corresponding energy, as well as a charge $q_{\!_J}$, where $q_{\!_J} = (hc/2π)^{1/2}$. It is shown that this physical curve consists of indivisible line segments of length $\ell_Δ= 2π({\hbar G/c^3})^{1/2}$, where $c$ is the speed of light and $G$ is the gravitational constant. Quantum features of $J$-strings are studied. 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).