Driftdiffusion in mangled worlds quantum mechanics
Abstract
In Everett's manyworlds interpretation, where quantum measurements are seen as decoherence events, inexact decoherence may let large worlds mangle the memories of observers in small worlds, creating a cutoff in observable world measure. I solve a growthdriftdiffusionabsorption model of such a mangled worlds scenario, and show that it reproduces the Born probability rule closely, though not exactly. Thus, inexact decoherence may allow the Born rule to be derived in a manyworlds approach via world counting, using a finite number of worlds and no new fundamental physics.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 May 2006
 DOI:
 10.1098/rspa.2005.1640
 arXiv:
 arXiv:quantph/0303114
 Bibcode:
 2006RSPSA.462.1619H
 Keywords:

 many worlds;
 decoherence;
 selection;
 probability;
 Quantum Physics
 EPrint:
 Proceedings of the Royal Society A: 462(2069):16191627, May 8, 2006.