On multitemporal generalization of Newton's gravitational law

A n-time generalization of Newton's law (of universal gravitation) formula in N =n + d + 1-dimensional space-time is conjectured. This formula implies a relation for effective N-dimensional gravitational constant G_{eff} = G cos^2 \theta, where \theta is the angle between the direction of motion of two particles in n-dimensional time manifold R^n.