Quantum Gravity and String Theory


General Relativity, Non-Abelian Gauge Theories, and Quantum Gravity

Authors: F. Winterberg

We adopt here an attempt first pioneered by Dehnen to reformulate Einstein’s general theory of relativity as a kind of non-Abelian gauge theory, as is quantum chromodynamics. This approach permits the formulation of Einstein’s gravitational field equation by the same Lagrangian of the Einstein-Hilbert action, albeit with two event horizons: an “outer” one in ordinary space for Einstein’s theory with a cut-off at the Planck energy (~〖10〗^19 GeV), and an “inner” one in three-dimensional color space for quantum chromodynamics with a cut-of at ~〖10〗^2 GeV. This conclusion is reached by the analogy between general relativity and quantum chromodynamics at one hand, and Newtonian point particle classical mechanics and Helmholtz line vortex dynamics at the other hand.

Comments: 11 Pages.

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Submission history

[v1] 2018-10-07 15:10:20

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