12 publications from this institution
Consequences of new quantum spin perspective in quantum gravity are far-reaching. Results of this novel perspective in loop quantum gravity, i.e., the modification of the equation of geometrical operators such as the area and the volume operator are known. Using newly proposed formula from this perspective, the magnitude of fundamental constants such as the reduced Planck constant \(\hbar\), the gravitational constant \(G\), the speed of light \(c\), the Boltzmann constant \(k_β\), the fine structure constant \(α\), can be validated. With the aid of this perspective, we find new formulas for the fundamental Planckian quantities and the derived Planckian quantities. We also propose novel formulas for the Planck star such as the size, the curvature, the surface area and the size of black hole (for the Planck star) without modifying its significance. The relation of the quantum spin with the Planck temperature \(T_{P}\) \((T_{p} \propto n^{2})\), the Planck mass \(m_{P}\) \((m_{P} \propto n^{2})\), the Planck length \(l_{P}\) \((l_{P} \propto n)\) are also proposed using this novel perspective
In this paper, we propose a new perspective of quantum spin (angular momentum) in which the Boltzmann constant \(k_β\), Planck temperature \(T_{P}\), Planck mass \(m_{P}\) and Planck area \(l_{P}^{2}\) are the integral part of the total angular momentum \(J\). With the aid of this new perspective, we modify the equation of the area and volume operator. In the quantum geometry, for \(SO(3)\) group, the angular momentum operators \(J^{k}\) is the \(k\)th Lie group generator \(T^{k}\); hence, \(T^{k} \equiv J^{k}\). Therefore, new perspective of quantum spin can be directly applicable to quantum geometry. From data, the value of the area operator \(\hat{A}_{S}\) increases with \(n^{2}\) in discrete way that suggests discrete spectrum of the area operator similar to the actual formula of the area operator. This perspective provides an auto-correct or auto-balance mechanism within the equation of these geometrical operators. At the quantum gravity scale, it means that the mutual small change in \(T_{P}\), \(m_{P}\), and \(l_{P}^{2}\) occur in such a way that \(\hbar\), \(l_{P}\) and \(\hat{A}_{S}\) and \( \hat{V}_{S}\) remain invariant for a value of \(j_{i}\). The constancy of the reduced Planck constant \(\hbar\) in the geometrical operators can provide a way through which smooth transition of the Planck scale to the nuclear or the atomic scale can be understood.
