In Everett's many-worlds 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 growth-drift-diffusion-absorption 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 many-worlds approach via world counting, using a finite number of worlds and no new fundamental physics.
Proceedings of the Royal Society of London Series A
- Pub Date:
- May 2006
- many worlds;
- Quantum Physics
- Proceedings of the Royal Society A: 462(2069):1619-1627, May 8, 2006.