Anisotropy of Space

Abstract

When a point mass (radiator) is moving with speed v on a circular orbit around another massive point mass (accelerator) at a distance r, the metric seen by an observer far from the accelerator but close by and moving with the radiator, shows space anisotropy, g_xx−g_yy=g_xx−g_zz=4(v⁄c)⁴, where the x-axis gives the direction of the velocity v of the radiator. The value of this anisotropy is 10⁻¹² for the sun, accelerated by the center of our galaxy Milky Way, and is 4×10⁻¹⁶ for Earth, accelerated by the sun. Brillet and Hall’s experiment, which claims accuracy to 0.5×10⁻¹⁴ for the anisotropy of space, can detect the predicted anisotropy near the sun if the detector is modified properly.