Abstract

Quantum gravity and the transformation of a neutron star or the merger of two neutron stars into a black hole are important topics in cosmology. According to the Schwarzschild radius relationship, a black hole arises when two times of the gravitational binding energy of the gravitational system, GBE, equal the annihilation energy of its total mass. From a quantum perspective, the integer number of neutrons defines the GBE and mass in the merger of binary pure neutron stars transforming to a black hole. Therefore, one can scale all gravitational binding energy relationships by using neutron mass, energy, distance, time, or frequency equivalents. We define of the neutron as the binding energy, 1.4188 × 10&#872249 J, of a virtual system of two neutrons separated by the neutron Compton wavelength. The divided by a neutron’s rest mass energy represents a fundamental, dimensionless proportionality constant, 9.4252 × 10&#872240, . The square root of , αG, which we introduce here as a coupling constant, is identical in concept to the fine structure constant found in electromagnetic physics, but for gravity. Both αG and inter-relate the neutron, proton, electron, Bohr radius, speed of light, Planck’s constant, GBE of the electron in hydrogen, and Planck time. This paper demonstrates a direct conceptual and computational rationale of why the neutron and its negative beta decay quantum products accurately can represent a quantum gravitational natural unit system.

Highlights

  • Developing a quantum model of gravity has been an important conceptual goal in physics [1]-[6]

  • The square root of 2kn0 _ unit, αG, which we introduce here as a coupling constant, is identical in concept to the fine structure constant found in electromagnetic physics, but for gravity

  • The fine structure constant α relates to electromagnetic relationships of hydrogen, whereas αG is for neutron gravitational relationships

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Summary

Introduction

Developing a quantum model of gravity has been an important conceptual goal in physics [1]-[6]. Uniting cosmologic physics and quantum physics is a contin-. Many different models have been proposed, but none have seamlessly united quantum, classical and cosmologic phenomena [7]. N0, neutron stars, NS, and black holes, BH, are ideal conceptual, computational, and observational settings to interrogate gravitational properties at the extremes of short and long distances, and high gravitational binding energies, GBEs [8]-[14]. Many new observations are being acquired that lend themselves to interpretations of the basic properties and scaling of gravitational systems. Recent gravity wave measurements are dependent upon a robust gravity model [15] [16]

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