量子引力理论模型的三个发现
Three findings to model a quantum-gravitational theory
摘要：
泽尔多维奇在1967年表示的宇宙学常数λ的G，m和h，引力常量，质量的基本粒子和普朗克常数。1972年，温伯格用h、G、光速c和哈勃参数H来表示m。我们证明了这两个表达式是相同的。我们还发现了c和H之间的比例关系。平衡波函数向外的量子力学扩展和向内的引力坍缩的临界质量最近已经被估计出来。我们把这个质量和泽尔多维奇和温伯格质量等同起来。一个半经典的引力模型得到加强，并提供了一个量子引力理论的建模洞察力。自由粒子的峰值概率密度随时间的演化，一个最初充满整个宇宙的波函数，解释了基本粒子后来的几何性质。我们证明，他们最终获得一个恒定的大小由他们的康普顿波长。基本粒子的大小以及它们的质量都得到了解释。这三个结论是一致的：牛顿运动定律和万有引力在解释泽尔多维奇和温伯格关系的同时，也定义了使用薛定谔-牛顿方程时基本粒子的质量和尺寸。
英文摘要：
In 1967 Zeldovich expressed the cosmological constant lambda in terms of G, m and h, the gravitational constant, the mass of a fundamental particle and Plancks constant. In 1972 Weinberg expressed m in terms of h, G, the speed of light c and the Hubble parameter H. We proved that both expressions are identical. We also found proportionality between c and H. The critical mass balancing the outward quantum mechanical spreading of the wave function, and its inward gravitational collapse, has been recently estimated. We identify this mass with Zeldovich and Weinberg mass. A semi classical gravity model is reinforced and provides an insight for the modelling of a quantum-gravitational theory. The time evolution of the peak probability density for a free particle, a wave function initially filling the whole Universe, explains the later geometrical properties of the fundamental particles. We prove that they end up acquiring a constant size given by their Compton wavelength. The size of the fundamental particles, as well as their mass, is explained. The three findings converge: Newton laws of motion and gravitation, while explaining Zeldovich and Weinberg relations, also define the mass and size of the fundamental particles when using the Schrodinger-Newton equation.
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