Paired Accelerated Frames
Abstract
The geometrical and quantum mechanical basis for Davies' and Unruh's acceleration temperature is traced to a type of quantum mechanical (``achronal'') spin. Its existence and definition are based on pairs of causally disjoint accelerated frames. For bosons the expected spin vector of monochromatic particles is given by the ``Planckian power'' and the ``r.m.s. thermal fluctuation'' spectra. Under spacetime translation the spin direction precesses around that ``Planckian'' vector. By exhibiting the conserved achronal spin four-current, we extend the identification of achronal spin from single quanta to multiparticle systems. Total achronal spin conservation is also shown to hold, even in the presence of quadratic interactions.
Keywords
Cite
@article{arxiv.gr-qc/9910106,
title = {Paired Accelerated Frames},
author = {Ulrich H. Gerlach},
journal= {arXiv preprint arXiv:gr-qc/9910106},
year = {2015}
}
Comments
22 pages, Plain Tex, one figure. Also published in Proc. of the 7th Marcel Grossmann Meeting edited by R.T. Jantzen and G.M. Keiser (World Scientific, Singapore, 1996), 957-976. Related papers on accelerated frames are available at http://www.math.ohio-state.edu/~gerlach