SL(2,C) Gauge Theory of Gravitation and the Quantization of the Gravitational Field

Details SL(2,C) Gauge Theory of Gravitation and the Quantization of the Gravitational Field SL(2,C) Gauge Theory of Gravitation and the Quantization of the Gravitational Field

1999-07-25

arxiv.org/abs/gr-qc/9907078v1

Int.J.Theor.Phys. 37 (1998) 2615-2620

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, published in Intern. j. Theor. Phys. Vol. 37, No. 10, pp.2615-2620 (1998)

Scientific paper

A new approach to quantize the gravitational field is presented. It is based on the observation that the quantum character of matter becomes more significant as one gets closer to the big bang. As the metric loses its meaning, it makes sense to consider Schrodinger's three generic types of manifolds - unconnected differentiable, affinely connected, and metrically connected - as a temporal sequence following the big bang. Hence one should quantize the gravitational field on general differentiable manifolds or on affinely connected manifolds. The SL(2,C) gauge theory of gravitation is employed to explore this possibility. Within this framework, the quantization itself may well be canonical.

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