Search for Anomalous Long Range Interactions at Highly Relativistic Velocities

A high energy particle accelerator can be used to test the energy dependence of gravitational interactions between massive particles at highly relativistic velocities. General Relativity predicts that such interactions must be proportional to ($$2\gamma^2 \beta^2 + 1)/\gamma$$ where $$\gamma$$ is the Lorentz factor and $$\beta$$ =v/c is the relative velocity of the interacting bodies. A test of this dependence could provide a direct measure of the spin of the graviton. In addition, the accelerator experiment also provides a means for setting limits on other "anomalous" interactions at relativistic velocities. Such a test was made at the Fermi National Accelerator Tevatron....