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Posted by Richard Ruquist on November 20, 2003 15:34:12 UTC


Link:
http://www.physicsforums.com/showthread.php?s=&threadid=9216

Screen name marcus


From Markopoulou and Smolin's new paper (posted yesterday, 18 November) "Quantum Theory from Quantum Gravity"

"The model is not intended to be realistic. Much more work needs to be done to understand whether the basic strategy uncovered here can lead a real physical theory..."

"...may, in a more realistic model, lead to predictions of a time dependence of h-bar that could falsify such a theory..."

The intriguing thing, to me, is that they start with nothing but a graph. No spacetime, no quantum mechanics. No labels on the graph---
nothing but this bare undirected graph. They show what extra assumptions go in to deriving Schroedinger's equation and determining a value of Planck's constant.

The graph consists of a finite number of points and an adjacency matrix of zeros and ones. An abstract graph, in other words. When they want to discuss the low energy limit they embed the graph in R3. The N nodes of the graph become the locations of N particles and their positions obey a form of Schroedinger equation.
Planck's constant appears in this embedding process---both quantum mechanics and classical Newtonian dynamics appear, in effect, as limits of this graph model.

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