David Hillman
Nov22-04, 05:14 AM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=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>\nAs I understand it, the holographic hypothesis says something like this:\nthe contents of a spatial sphere are deducible from the information on\nthe surface of the sphere.\n\nI\'m wondering if it\'s consistent with this hypothesis to say that the\ncontents of a spatial sphere are deducible from the information on\n*half* of the surface of the sphere.\n\nThe reason I ask is: I\'ve spent the last few days trying to make crude\ncombinatorial models of 3d that have the holographic property (using\ncubic tiles: space is a cubic lattice where the 2-d faces are colored),\nand I seem to be able to make interesting models where the contents of\nany spatial cube are deducible from any three faces of the cube that\nmeet at a corner. But I have as yet no clue how to make a model where\none has to know the contents of the entire surface of the cube in order\nto deduce what\'s inside it. (Any ideas?)\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"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>As I understand it, the holographic hypothesis says something like this:
the contents of a spatial sphere are deducible from the information on
the surface of the sphere.
I'm wondering if it's consistent with this hypothesis to say that the
contents of a spatial sphere are deducible from the information on
*half* of the surface of the sphere.
The reason I ask is: I've spent the last few days trying to make crude
combinatorial models of 3d that have the holographic property (using
cubic tiles: space is a cubic lattice where the 2-d faces are colored),
and I seem to be able to make interesting models where the contents of
any spatial cube are deducible from any three faces of the cube that
meet at a corner. But I have as yet no clue how to make a model where
one has to know the contents of the entire surface of the cube in order
to deduce what's inside it. (Any ideas?)
the contents of a spatial sphere are deducible from the information on
the surface of the sphere.
I'm wondering if it's consistent with this hypothesis to say that the
contents of a spatial sphere are deducible from the information on
*half* of the surface of the sphere.
The reason I ask is: I've spent the last few days trying to make crude
combinatorial models of 3d that have the holographic property (using
cubic tiles: space is a cubic lattice where the 2-d faces are colored),
and I seem to be able to make interesting models where the contents of
any spatial cube are deducible from any three faces of the cube that
meet at a corner. But I have as yet no clue how to make a model where
one has to know the contents of the entire surface of the cube in order
to deduce what's inside it. (Any ideas?)