GEOMETRODYNAMIC STEERING PRINCIPLE REVEALS THE DETERMINERS OF INERTIA

What shall we need to grasp the essence of quantum gravity? One requirement, at least, is essential: to understand the steering principle of classical geometrodynamics. We outline here the physical content of that steering principle—heart of the so-called initial value problem—in its J.W. York, Jr. formulation. The central idea epitomizes itself in a single simple sentence: Mass-energy there determines inertia here. We spell out this steering principle both in its precise form and in its poor man’s version. At both levels of analysis considerations of physics and mathematics alike require that the effective mass-energy of gravity waves must make itself felt on the space-time geometry—and therefore on the gyro-defined local inertial frame of reference—on the same level as matter itself. Additional to the (mass)/(distance) Newtonian potential so familiar as measure of the effect of a nearby mass on the local frame is the Thirring and Lense gravitomagnetic potential, proportional to (angular momentum)×(distance vector)/(distance)3. The recent proposal of Ciufolini for a dual laser-ranged LAGEOS satellite to detect the thus-predicted gravitomagnetism of the earth is briefly described.