The Non-Local to Local Space-time Map

Publication Year:
2003
Usage 1026
Downloads 1026
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/1365
Author(s):
Hoiland, Paul Karl
preprint description
While for point particles a local theory seems to be sufficient, when it comes to extended objects like Strings and Branes you by rights are not dealing with a specifically fully localized particle to begin with. This also is not the case for non-inertial particles interacting with a wave field (like, e.g., an accelerated atom interacting with the quantized electromagnetic field). The fact that a wave has an extension seems to make a non-local treatment necessary. By the same fact a String or a Brane has an extension and makes non-local treatment necessary also. It is possible to define non-locally an extended frame of reference for an observer moving non-inertially or inertially in a curved space-time. We proposed to demand that the spacelike hypersurfaces providing the planes of constant time in the extended frame have to be perpendicular to the observer’s time whenever an event occurs.