Wave Particle Duality - Playing with Alice!
The Fourier transform in 3D converts a cube to a triple product of sinc functions in the three dimensions. A cubic particle becomes an infinite wave. It has the appearence of a Coulomb potetential without the infinity. No information is lost or gained. Local becomes global,
Performing the same transform operation a second time returns to the cube, but with a sign change.
Performing the same transform operation yet a third time yields the triple sinc product with a sign change.
Performing the same transform operation yet a fourth time returns to the original cube. As in all iterations, no information is lost or gained. You are back where you started, but you traveled with Alice through the looking glass four times!
The "world operator" employs such an iteration. When we declare that a local measurement has been made, we are viewing the particle domain. When we see non-local effects, we are viewing the wave domain. The standing waves of a persistent iterating operator create our eigen world of the observable.
The world appears local on one side, and global on the other side of the looking glass! It is the same world, but stepping through an iterating operation.
What exactly is the mathematical form of the "world operator" and the object it operates upon? This mysterious operation iterates ad infinitum, taking the world from the past to the present to the future. It plays the frames of the world manifold like a well oiled machine. It is lossless, reversable, and deterministic. In what space-time manifold does it play?
Performing the same transform operation a second time returns to the cube, but with a sign change.
Performing the same transform operation yet a third time yields the triple sinc product with a sign change.
Performing the same transform operation yet a fourth time returns to the original cube. As in all iterations, no information is lost or gained. You are back where you started, but you traveled with Alice through the looking glass four times!
The "world operator" employs such an iteration. When we declare that a local measurement has been made, we are viewing the particle domain. When we see non-local effects, we are viewing the wave domain. The standing waves of a persistent iterating operator create our eigen world of the observable.
The world appears local on one side, and global on the other side of the looking glass! It is the same world, but stepping through an iterating operation.
What exactly is the mathematical form of the "world operator" and the object it operates upon? This mysterious operation iterates ad infinitum, taking the world from the past to the present to the future. It plays the frames of the world manifold like a well oiled machine. It is lossless, reversable, and deterministic. In what space-time manifold does it play?
posted by Ken Crandall | 11:22 PM
0 Comments:
Post a Comment
<< Home