Physics – Quantum Physics
Scientific paper
2010-05-05
Physics
Quantum Physics
110 pages, 17 figures, presented shorter form of this as poster at Third International Conference on the Nature and Ontology o
Scientific paper
Normally we quantize along the space dimensions but treat time classically. But from relativity we expect a high level of symmetry between time and space. What happens if we quantize time using the same rules we use to quantize space? To do this, we generalize the paths in the Feynman path integral to include paths that vary in time as well as in space. We use Morlet wavelet decomposition to ensure convergence and normalization of the path integrals. We derive the Schr\"odinger equation in four dimensions from the short time limit of the path integral expression. We verify that we recover standard quantum theory in the non-relativistic, semi-classical, and long time limits. Quantum time is an experiment factory: most foundational experiments in quantum mechanics can be modified in a way that makes them tests of quantum time. We look at single and double slits in time, scattering by time-varying electric and magnetic fields, and the Aharonov-Bohm effect in time.
No associations
LandOfFree
Quantum Time does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Time will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-437671