Causality and Multiply Connected Space-Time

1962 ◽  
Vol 128 (2) ◽  
pp. 919-929 ◽  
Author(s):  
Robert W. Fuller ◽  
John A. Wheeler
Keyword(s):  
Space Time ◽  
Connected Space ◽  
Multiply Connected

A multiply-connected space-time, black holes, and tachyons

1979 ◽  
Vol 24 (4) ◽  
pp. 115-119 ◽  
Author(s):  
E. Recami ◽  
K. Tahir Shah
Keyword(s):  
Black Holes ◽  
Space Time ◽  
Connected Space ◽  
Multiply Connected

Notizen: On Chiral Symmetry Breaking in a Non-Simply Connected Space-Time

1985 ◽  
Vol 40 (9) ◽  
pp. 957-958
Author(s):  
Pinaki Roy ◽  
Rajkumar Roychoudhury
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Space Time ◽  
Connected Space ◽  
Global Space ◽  
Simply Connected

Abstract We consider QCD in R3 x S1 and show that non-trivial global space-time topology breaks chiral symmetry.

scholarly journals A Quantum-Geometrical Description of Fracton Statistics

2003 ◽  
Vol 18 (12) ◽  
pp. 2213-2219 ◽  
Author(s):  
W. da Cruz
Keyword(s):  
Quantum Hall ◽  
Quantum Mechanical ◽  
Connected Space ◽  
Universal Class ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Multiply Connected ◽  
Fractal Characteristic ◽  
Fractal Distribution ◽  
Irrational Values

We consider the fractal characteristic of the quantum mechanical paths and we obtain for any universal class of fractons labeled by the Hausdorff dimension defined within the interval 1 < h < 2, a fractal distribution function associated with a fractal von Newmann entropy. Fractons are charge-flux systems defined in two-dimensional multiply connected space and they carry rational or irrational values of spin. This formulation can be considered in the context of the fractional quantum Hall effect-FQHE and number theory.

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