The Concept of a J-string and its Application for the Computation of the Planck Length and the Planck Mass

TL;DR

This paper introduces the concept of J-strings, a type of physical line, and develops a method to compute the Planck length and mass based on their properties, resulting in values that differ from standard constants.

Contribution

It proposes a novel model of physical lines called J-strings and derives new formulas to compute fundamental constants like the Planck length and mass.

Findings

Derived formulas for Planck length and mass from J-string properties

Computed values of *_P and m*_P that differ from standard constants

Established a link between J-string characteristics and quantum features

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 \emph{$J$-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 $h/2\pi c R$, a corresponding energy, as well as a charge $q_J$, where $q_J = (hc/2\pi)^{1/2}$. It is shown that this physical curve consists of indivisible line segments of length $\ell_\Delta = 2\pi(hG/c^3)^{1/2}$, 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); these values differ from the currently accepted ones.