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Planck Quantization of Newton and Einstein Gravitation

机译:牛顿和爱因斯坦引力的普朗克量化

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In this paper we rewrite the gravitational constant based on its relationship with the Planck length and based on this, we rewrite the Planck mass in a slightly different form (that gives exactly the same value). In this way we are able to quantize a series of end results in Newton and Einstein’s gravitation theories. The formulas will still give exactly the same values as before, but everything related to gravity will then come in quanta. This also gives some new insight; for example, the gravitational deflection of light can be written as only a function of the radius and the Planck length. Numerically this only has implications at the quantum scale; for macro objects the discrete steps are so tiny that they are close to impossible to notice. Hopefully this can give additional insight into how well or not so well (ad hoc) quantized Newton and Einstein’s gravitation is potentially linked with the quantum world.
机译:在本文中,我们根据重力常数与普朗克长度的关系来重写重力常数,并以此为基础,以略有不同的形式(给出完全相同的值)重写普朗克质量。这样,我们就可以量化牛顿和爱因斯坦的引力理论中的一系列最终结果。公式仍将提供与以前完全相同的值,但是与重力有关的所有信息都将以量子形式出现。这也提供了一些新的见解;例如,可以将光的重力偏转仅写为半径和普朗克长度的函数。从数字上讲,这仅在量子尺度上具有影响。对于宏对象,离散步骤非常小,以至于几乎无法注意到。希望这可以进一步了解牛顿和爱因斯坦的引力与量子世界之间的联系。

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