Danke schön for your reading, but better to not. Know thyself.
Just like the lifespan of humanity is limited, there's also bounds for Force.
Feinstrukturconstante / BisaiKōzōTeisū \(\alpha\)
By Арнольд Зоммерфельд. 电磁耦合强度常数 is the dimensionless number measuring the strength of electromagnetism; historically called the fine-structure constant.
\(e\): elementary charge, \(1.602176634\times10^{-19}, \mathrm{A\,s}\)
\(\hbar\): reduced quantum action constant, \(1.054571817\times10^{-34}, \mathrm{kg\,m^2\,s^{-1}} = \frac{h}{2\pi}\)
\(c\): speed of light in vacuum, \(2.99792458\times10^8, \mathrm{m\,s^{-1}}\)
\(\varepsilon_0\): vacuum electric permittivity, \(8.8541878\times10^{-12}, \mathrm{A^2\,s^4\,kg^{-1}\,m^{-3}}\)
\(\alpha = \frac{e^2}{4\pi\varepsilon_0 \hbar c} \approx 7.29735256\times10^{-3} \approx \frac{1}{137.036} \)
The size of atoms
\(m_e\): electron rest mass, \(9.1093837\times10^{-31} \mathrm{kg}\)
\(\beta\): 1
\(r_{\text{atom}} \approx \frac{\hbar}{m_e c \beta} \approx 5.29\times10^{-11}\,\mathrm{m}\)
Gravitationskollapsradius
\(G\): universal gravitational(引力) constant \(6.67430\times10^{-11}, \mathrm{m^3\,kg^{-1}\,s^{-2}}\)
The gravitational collapse radius of a mass (M) is
\(R_{\text{collapse}} = \frac{2GM}{c^2}\)
With Coin \(6 \times 10^{-3} kg\), \(\frac{2G \times 6\times10^{-3} kg}{c^2} \approx 8.9\times10^{-30}\,\mathrm{m}\)
Gravity near the collapse radius reaches the maximum natural force scale
Then the gravitational force is
\(F_{Max} = G\frac{M^2}{R_{\text{collapse}}^2} = G\frac{M^2}{\left(\frac{2GM}{c^2}\right)^2} = \frac{c^4}{4G}\)
\(1.21\times10^{44},\mathrm{kg\,m\,s^{-2}}\)
The Min may be the measurable gravitational force of a virus.