Homotopy Approach to Quantum Gravity |
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Authors: | David Ritz Finkelstein |
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Institution: | (1) School of Physics, Georgia Institute of Technology, Atlanta, GA, USA |
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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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