PDA

View Full Version : Holography in LQG


Squark
Apr7-04, 08:32 AM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resize=yes,status=no,wi dth=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>\nHello people.\n\nI wonder whether anyone did a study of the holographic principle in\nLoop Quantum Gravity. In particular, given a surface Sigma\nembedded into the space manifold M, the statespace may be\npresented as a subspace of the tensor product\nH_inner (tensor) H_outer, where H_x corresponds to spin\nnetworks on side x of Sigma, with possible edges ending on Sigma.\nIt appears that the operator corresponding to Sigma\'s area,\nA(Sigma) should be representable as an operator on on H_inner.\nThen, it is possible to ask how many states correspond to a given\nvalue a of the area, or, alternatively, how many states correspond to\nan area equal to a plus/minus a small deviation epsilon*a.\n\nI also wonder whether anyone considered Loop Quantum Gravity\nin Anti-De Sitter spacetime.\n\n\nBest regards,\nSquark\n\n[If you wish to contact me by e-mail,\nuse Trvbsl_Ovdmfbstup@fyjuf.dpn\nwhere I replaced each letter by the next alphabetically]\n\n\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form">&nbsp;&nbsp;View this Usenet post in original ASCII form </a></div><P></jabberwocky>Hello people.

I wonder whether anyone did a study of the holographic principle in
Loop Quantum Gravity. In particular, given a surface \Sigma
embedded into the space manifold M, the statespace may be
presented as a subspace of the tensor product
H_{inner} (tensor) H_{outer}, where H_x corresponds to spin
networks on side x of \Sigma, with possible edges ending on \Sigma.
It appears that the operator corresponding to \Sigma's area,
A(\Sigma) should be representable as an operator on on H_{inner}.
Then, it is possible to ask how many states correspond to a given
value a of the area, or, alternatively, how many states correspond to
an area equal to a plus/minus a small deviation \epsilon*a.

I also wonder whether anyone considered Loop Quantum Gravity
in Anti-De Sitter spacetime.


Best regards,
Squark

[If you wish to contact me by e-mail,
use Trvbsl_Ovdmfbstup@fyjuf.dpn
where I replaced each letter by the next alphabetically]

Demystifier
Nov21-06, 08:09 AM
As far as I know, LQG does not obey the holographic principle.