Reply to Comment on ``Spinning Cosmic Strings and Quantization of Energy''

TL;DR

This paper discusses a quantum mechanical analogy between spinning cosmic strings and the Aharonov-Bohm effect, proposing a new quantization condition for mass-energy involving fundamental constants.

Contribution

It introduces a novel quantization relation for gravitational mass-energy in the context of spinning cosmic strings, linking gravity and quantum mechanics.

Findings

Identification of gravitational mass-energy quantization

Periodic scattering cross-section related to fundamental constants

New physical insight into quantum effects of cosmic strings

Abstract

Quantum mechanics of a test particle interacting with a spinning string (torsion vortex) is the quantum mechanics of the celebrated Aharonov-Bohm effect. The angular momentum per unit length $J$ characterizing the spinning string corresponds to the magnetic flux $\Phi$ of the Aharonov-Bom fluxon and the gravitational mass-energy $E$ of an incoming particle corresponds to the electric charge $q$. The characteristic periodicity of the gravitational Aharonov-Bohm scattering cross-section in the product of $GEJ$ has suggested a new quantization of mass-energy relation. We encounter a new physical situation where the gravitational mass-energy is quantized and the quantization condition contains both the Newton constant $G$ and the Planck constant $h$.