# Graviton and photon orbitals surrounding a black hole : Application to the supermassive black hole at the Milky Way galactic center, with NIR observational confirmation.

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## Date

2014

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## Authors

Culbreth, Shawn

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East Carolina University

## Abstract

Non-relativistic Quantum Theory fairly accurately describes the resonance phenomena around a black hole, even though black holes are thought of as general relativistic (GR) objects. Graphically and numerically we are able to demonstrate that the form of the GR effective gravitational potential energy curves for photons and gravitons circling a non-rotating black hole which are trapped in the gravitational potential cavity surrounding a black hole, are similar to classical (non-relativistic) harmonic oscillator curves. This has been obtained for several of the lowest quantized values of graviton and photon angular momenta measured with respect to an origin situated at the center of the black hole (that is, for orbital angular momentum quantum numbers equal to L= 2, 3, 4 for gravitons and L=1, 2, 3 for photons). In consequence, within the equations of the Theory of General Relativity, the solutions of the lowest frequencies of photons and gravitons gravitationally trapped in orbitals while circling a black hole closely match those quantized frequencies possible for a harmonic oscillator within the non-relativistic theory of Quantum Mechanics. These orbital frequencies are seen in the Quasi-Periodic Oscillations (QPOs) present in the Near Infrared (NIR) spectrum observed at Earth emitted from near the black hole Sgr A* constituting the center of The Milky Way galaxy. The region of emission is closer to the black hole than the accretion disk. Though the Theory of General Relativity is often considered incompatible with Quantum Mechanical predictions, this is an original demonstration that the General Relativistic theory, published by Einstein 9 years before Quantum Mechanics was discovered, did contain predictions matching those of non-relativistic Quantum Mechanics.