Holographic complexity from Crofton’s formula in Lorentzian AdS3
2019 ◽
Vol 34
(35)
◽
pp. 1950237
◽
We study Crofton’s formula in the Lorentzian AdS3 and find that the area of a generic spacelike two-dimensional surface is given by the flux of spacelike geodesics. The “complexity[Formula: see text]=[Formula: see text]volume” conjecture then implies a new holographic representation of complexity in terms of the number of geodesics. Finally, we explore the possible explanation of this result from the standpoint of information theory.
1991 ◽
Vol 06
(39)
◽
pp. 3591-3600
◽
Keyword(s):
1989 ◽
Vol 1
(8)
◽
pp. 202-204
◽
Keyword(s):
1995 ◽
Vol 448
(1933)
◽
pp. 213-236
◽
2005 ◽
Vol 295-296
◽
pp. 477-482
1995 ◽
Vol 295
(-1)
◽
pp. 381
◽
Keyword(s):
1978 ◽
Vol 364
(1716)
◽
pp. 89-106
◽