A Novel Geometric Effect of the Sunbeam (NGES) and Geometric Spin Hall Effect of Light (GSHEL) due to the Earth Rotation

Recently there are reports of NGES\footnote{S. B. Nam, arXiv \textbf{0910.5767} (2009).} based on geometrical optics, and GSHEL\footnote{A. Aiello, et al., Phys. Rev. Lett. \textbf{103}, 100401 (2009).} based on electrodynamics in vacuum. Here, I discuss the nature of NGES, using the Berry notion of the classical parallel transport,\footnote{M. V. Berry, ``Geometric Phases in Physics'' (Ed. by A. Shapere and F. Wilczek, Singapore, 1989) \textbf{pp7-28}.} and present GSHEL due to the earth rotation. For both NGES and GSHEL, the observing frame (detecting plane) should be tilted with respect to the light beam propagation direction. Setups to detect simultaneously both GNES and GSHEL are discussed. Descriptions given here are applicable to any beams such as electronic and atomic beams.