Quantum Gravity and String Theory


Quantum Gravity Based on Mach Principle and its Solar Application

Authors: Jin He

The starting point of quantum mechanics is the classical algebraic formula connecting energy to momentum: energy is proportional to the squared momentum. As a result, energy and momentum do not be treated equally. The wave equation of quantum mechanics (a differential equation) results from the replacement of the classical energy quantity with the derivative with time and the replacement of the momentum quantity with the derivative with space. Both replacements have a scale factor that is the Planck constant. Similar to the classical formula, the wave equation does not treat time and space equally, and the Planck constant is not canceled out from both sides of the equation. That is, Planck constant remains which describes the microscopic world. My theory of gravity is the local bending of background spacetime based on Mach principle which, as suggested by Einstein, is described by a classical form of second order treating time and space equally. Therefore, the Planck constant is completely canceled out in the wave equation. In other words, the quantization of gravity does not need the Planck constant. This is because gravity obeys Equivalence Principle. But I keep the scale factor which describes the hierarchical structure of local universe as suggested by Laurent Nottale.

Comments: 21 pages

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Submission history

[v1] 24 Jan 2011

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