Calculation of the Deflection of Light Ray near the Sun with Quantum-corrected Newton’s Gravitation Law

The deflection of light ray passing near the Sun is calculated with quantum-corrected Newton’s gravitation law. The satisfactory result suggests that there may exist other theoretical possibilities besides the theory of relativity. The deflection of light ray near the Sun was a successful prediction of Einstein’s theory of relativity, to which classical mechanics is futile. That was one of the best experimental supports to Einstein’s theory. But as many people know, the successful synthesis of Einstein’s theory with quantum theory has not emerged. In the attempt to construct the theory of quantum gravity, some scientists even thought that one of the two theories was temporary[1]. Though research on such a theory of quantum gravity has made no convincing breakthrough, some features of it can be seen[2]. One of the crucial points is the quantization of spacetime. To get a theory which is compatible with quantum mechanics and at the same time preserves the successful conclusions of the theory of relativity as much as possible, I proposed a theoretical framework in recent years[3-5]. It has given new insights to problems like EPR paradox. Also, consideration of space quantization in this framework gives naturally a correction to Newton’s Gravitation Law[6]: F = G Mm r(r − δ) (1) where δ is the space quantum. We have used this formula in the calculation of planetary precession of their perihelions and got quite good result[7]. Here in this paper, we shall see it also gives satisfactory explanation to the deflection of the light ray passing at the edge of the Sun.