Strings as Physical Lines in Vacuum: Basic Concepts for the Computation of the Planck Length and the Planck Mass
Abstract
Description
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 $\ell_Δ$. 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 also established that $\ell_Δ= 2π(hG/c^3)^{1/2}$, 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.
14 pages
14 pages