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Homotopy Approach to Quantum Gravity

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Abstract

Gravity may be a quantum-space-time effect. General relativity is quantized by small generic changes in its commutation relations that make its Lie algebras simple on all levels, positing extra variables frozen by self-organization as needed. This quantizes space-time coordinates as well as fields and eliminates physical singularities. Fermi statistics and sl (nℝ) Lie algebras are assumed for all levels. Spin 1/2 is taken to be anomalous, arising from vacuum organization; the spin-statistics relation is incorporated. The gravitational field is quartic in Fermi variables. Einstein’s non-commutativity of parallel transport emerges as a vestige of Heisenberg’s quantum non-commutativity near the classical limit.

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  1. School of Physics, Georgia Institute of Technology, Atlanta, GA, USA

    David Ritz Finkelstein

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Finkelstein, D.R. Homotopy Approach to Quantum Gravity. Int J Theor Phys 47, 534–552 (2008). https://doi.org/10.1007/s10773-007-9479-y

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