有效谐振子模型中引力场、强核场和弱核场的涨落
Fluctuations in the Gravitational, Strong and Weak Nuclear Fields through an Effective Harmonic Oscillator Model
摘要：
本文提出了一个有效的谐振子模型来处理引力场、强核场和弱核场的涨落。关于引力场，首先我们使用模型来估计它的波动强度，这是在标准温度和压力条件下对一立方厘米空气的波函数进行消散所必需的。第二，质点在普朗克长度范围内的涨落导致粒子的自引力相互作用，这与粒子的德布罗意频率有关。第三，通过使波动场强与质量为M的史瓦西半径一半的引力场相等，我们获得了宇宙质量的估计。我们还考虑了强核场的涨落，作为估计核子基态和激发态质心之间能量分离的一种手段。最后，考虑到中子-质子质量差，我们用弱核场的涨落来计算弱耦合常数。
英文摘要：
We propose an effective harmonic oscillator model in order to treat the fluctuations of the gravitational, strong and weak nuclear fields. With respect to the gravitational field, first we use the model to estimate its fluctuating strength, necessary to decohere the wavefunction of a cubic centimeter of air at the standard temperature and pressure conditions. Second, the fluctuation of a point mass through a distance equal to the Planck length leads to the self-gravitational interaction of a particle, which can be related to its de Broglie frequency. Third, by making the equality of the fluctuating field strength with the gravitational field of a mass M at half of its Schwarzschild radius, we obtain an estimate of the mass of the Universe. We also consider the fluctuations of the strong nuclear field, as a means to estimate the separation in energy between the ground state and the centroid of the excitated states of the nucleon. Finally, taking into account the neutron-proton mass difference, we use the fluctuations of the weak nuclear field in order to evaluate the weak coupling constant.
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