In this paper, we discuss the self-consistency condition for the spherical symmetric Klein-Gordon equation. And then discuss a natural possibility that gravity and weak coupling constant gG and GW may be defined after gEM . In this point of view, gravity and the weak force is subsidiary derived from electricity. Unified solution for each particle field is calculated. ∗Electronic address:nisikaw...

Since its final version and publication in 1916, it is widely reported in several specialized textbooks and research articles that General Relativity theory reduces to Newton's theory of gravity in the limit of a weak gravitational field and slowly moving material bodies. In the present paper, the so-called reducibility of Einstein's geodesic and field equations, to Newton's equation of motion ...

A detailed review is given of the semiclassical approximation to quantum gravity in the canonical framework. This includes in particular the derivation of the functional Schrödinger equation and a discussion of semiclassical time as well as the derivation of quantum gravitational correction terms to the Schrödinger equation. These terms are used to calculate energy shifts for fields in De Sitte...

Two-dimensional quantum gravity coupled to conformally invariant matter with central charge c > 25 has been proposed as a toy model for quantum gravity in higher dimensions. The associated “Wheeler-Dewitt equation” is non-linear and unstable to forming a condensate of baby universes. This will occur even in the classical c + co limit. Small fluctuations about this background describe the propag...

Several lines of evidence suggest that quantum gravity at very short distances may behave effectively as a two-dimensional theory. I summarize these hints, and offer an additional argument based on the strong-coupling limit of the Wheeler-DeWitt equation. The resulting scenario suggests a novel approach to quantum gravity at the Planck scale.

We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in D+1 dimensions with D = odd in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Hořava’s idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent z > 1. Our results support the idea and ...

A detailed review is given of the semiclassical approximation to quantum gravity in the canonical framework. This includes in particular the derivation of the functional Schrodinger equation and a discussion of semiclassical time as well as the derivation of quantum gravitational correction terms to the Schrodinger equation. These terms are used to calculate energy shifts for elds in De Sitte...

In contrast to gravity in the weak-field regime, which has been subject to numerous experimental tests, gravity in the strong-field regime is largely unconstrained by observations. We show that gravity theories that pass solar system tests, but that diverge from general relativity in the strong-field regime, predict neutron stars with significantly different properties than their general relati...

We study the diiusion equation in two-dimensional quantum gravity, and show that the spectral dimension is two despite the fact that the intrinsic Hausdorr dimension of the ensemble of two-dimensional geometries is very diierent from two. We determine the scaling properties of the quantum gravity averaged diiusion kernel.

A nonintegrable phase-factor global approach to gravitation is developed by using the similarity of teleparallel gravity with electromagnetism. The phase shifts of both the COW and the gravitational Aharonov-Bohm effects are obtained. It is then shown, by considering a simple slit experiment, that in the classical limit the global approach yields the same result as the gravitational Lorentz for...