相对论性量子引力理论的数学基础
Mathematical Foundations of the Relativistic Theory of Quantum Gravity
摘要：
从作用函数出发，我们导出了导致引力量子化的理论背景，并推导出引力质量和惯性质量之间的相关性，这取决于粒子的动力学动量。我们表明，强等效原理重申，因此，爱因斯坦方程被保存。事实上，这些方程是直接从引力的新方法中推导出来的。此外，我们还得到了一个广义的惯性力方程，它把马赫原理应用到引力中。并由此直接导出了熵方程、粒子在电磁场中的哈密顿量和精细结构常数的倒数。在不假设真空涨落存在的情况下，也可以推导出卡西米尔力的表达式，并解释暴胀周期和缺失物质。这种新的引力方法将使我们能够理解宇宙学中的一些关键问题。
英文摘要：
Starting from the action function, we have derived a theoretical background that leads to the quantization of gravity and the deduction of a correlation between the gravitational and the inertial masses, which depends on the kinetic momentum of the particle. We show that the strong equivalence principle is reaffirmed and, consequently, Einstein's equations are preserved. In fact, such equations are deduced here directly from this new approach to Gravitation. Moreover, we have obtained a generalized equation for the inertial forces, which incorporates the Mach's principle into Gravitation. Also, we have deduced the equation of Entropy; the Hamiltonian for a particle in an electromagnetic field and the reciprocal fine structure constant directly from this new approach. It was also possible to deduce the expression of the Casimir force and to explain the Inflation Period and the Missing Matter, without assuming existence of vacuum fluctuations. This new approach to Gravitation will allow us to understand some crucial matters in Cosmology.
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