General relativity in the laboratory.

Physics

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General Relativity

Scientific paper

In the linearized Einstein theory, the Newtonian gravitational force appears as the first term, as Einstein showed in 1916, but with a correction factor that shows space anisotropy of the gravitational mass in terms of the inertial mass of a test particle. The mass anisotropy is taken care of by taking the Newtonian potential as dependent on the angle between the orbital velocity of the solar system around the center of the Milky Way galaxy, vs, and the distance from the gravity source for the test particle. The resultant torque tends to orient the orbital plane of Earth (ecliptic plane) around the Sun to be perpendicular to vs. The effect of this mass anisotropy on the tidal force is negligible. This effect, however, is detectable when the frequency of a pendulum on Earth is measured with an accuracy of 12 or more digits. This effect also tends to make the lunar orbital plane around Earth perpendicular to vs. The gravito-magnetic force is proportional to the velocity of a test particle. The velocity of Earth orbiting around the Sun represents the gravito-magnetic force exerted on Earth, and the velocity of the test particle relative to Earth gives the gravito-magnetic force exerted on the Earth-bound test particle. The relation is similar in the V2-dependent anisotropy of space force. Hence these portions of the relativistic forces are measurable in Earth-bound laboratories, beyond the equivalence principle.

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