**Research Publications**

###### Scientific Papers published by RSF Research Staff

# Quantum Gravity and the Holographic Mass

**Haramein, N. (2012). Quantum Gravity and the Holographic Mass,**

*Physical Review & Research International*, ISSN: 2231-1815, Page 270-292We find an exact quantized expression of the Schwarzschild solution to Einstein’s field equations utilizing spherical Planck units in a generalized holographic approach. We consider vacuum fluctuations within volumes as well as on horizon surfaces, generating a discrete spacetime quantization and a novel quantized approach to gravitation. When applied at the quantum scale, utilizing the charge radius of the proton, we find values for the rest mass of the proton within 0.069×10^{-24}gm of the CODATA value and when the 2010 muonic proton charge radius measurement is utilized we find a deviation of 0.001×10^{-24}gm from the proton rest mass. We identify a fundamental mass ratio between the vacuum oscillations on the surface horizon and the oscillations within the volume of a proton and find a solution for the gravitational coupling constant to the strong interaction. We derive the energy, angular frequency, and period for such a system and determine its gravitational potential considering mass dilation. We find the force range to be closely correlated with the Yukawa potential typically utilized to illustrate the exponential drop-off of the confining force. Zero free parameters or hidden variables are utilized.

Keywords : Quantum gravity; holographic principle; Schwarzschild solution; proton charge radius; strong interaction; Yukawa potential.

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