论文标题
在研究两个非中性静态体
On the investigation of two non-neutral static bodies
论文作者
论文摘要
在这项工作中,我们考虑了两个不受外部力场影响的非中性物体的静态。我们试图计算$θ$的值,在给定边界条件下,净场强度变为零,我们没有解决方案。此后,我们定义了一个函数$ y(a,θ)$,可以发现该函数$ y $数学上类似于核模型中存在的半质量经验函数$ m(z,a)$。对$ y $的进一步调查表明,\ textIt {自然界对系统的双重偏好,该系统的正向对象比另一个负电荷的身体具有较重的对象。同时,我们遇到了另一种表达式,该表达式描绘了在某些条件下复杂平面中椭圆形的几何形状,其物理意义尚未实现。最后,我们研究了与非零净场有关的案例。因此,我们将一个新数量定义为\ textit {Quintessence},它的行为与电势相似,并且在数学上被证明是Legendre多项式的生成函数,这也强调了先前关于自然选择行为的陈述。我们试图验证因静态研究中各种表达式所传播的因子$χ$的恒定性,确实发现它几乎是恒定但对所研究主题的规模或大小的高度敏感的。
In this work, we have considered statics of two non-neutral bodies unaffected by external force fields. We have tried to calculate the value of $θ$ at which net field strength becomes zero however under given boundary condition, we get no solution. Thereafter, We define a function $Y(A,θ)$, it can be found that the function $Y$ mathematically resembles to Semi-mass empirical function $M(Z,A)$ that exists in nuclear model. Further investigations on $Y$ has shown that \textit{the nature gives double preference to a system , which is having heavier object at center of positive charge over another negative charged body}. Meanwhile, we come across another expression which depicts about the geometry of ellipse in complex plane under certain conditions, Whose physical significance is yet to be get realized. Lastly, we have investigated a case associated with non-zero net field. As a result of it, we define a new quantity as \textit{quintessence}, which behaves analogous to the electric potential, and it is mathematically turned out to be a generating function for Legendre polynomials, which also highlights the previous statement about nature's selective behaviour. We have tried to verify the constancy of a factor $χ$ which runs throughout the various expressions in this study of statics, it is indeed found to be almost constant but highly sensitive to scale or order of size of the subject under study.