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Duan, Yishi; Zhang, Shengli; Feng, Szeshiang

Gauge potential decomposition, space-time defects, and Planck’s constant. (English) Zbl 0817.53044

J. Math. Phys. 35, No. 9, 4463-4468 (1994).
Summary: A new geometrization of Planck’s constant is proposed, which also bases on the torsion in the space-time. A quantity is introduced to describe the space-time dislocations that appear due to torsion. It will be pointed out that there is \(U(1)\)-like gauge invariance in this new geometrization. Using the gauge-potential decomposition, the quantity is quantized in units of the Planck length. The quantum number is determined by Hopf indices and Brouwer degrees.

Cited in 10 Documents

MSC:

53Z05 Applications of differential geometry to physics
81T70 Quantization in field theory; cohomological methods

Keywords:

vierbein theory; topological quantization; topological quantum number
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References:

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