大秦单位制
如果有机会重定公制单位,以谁取整最为合适(比如定义光速为30万千米每秒,以此再定义米和秒)? - 酱紫君的回答 - 知乎 https://www.zhihu.com/question/1931468238530798034/answer/1934570751819780360
我为秦始皇,当定世间一切常数。
\[\begin{aligned} c &= +1 \, \mathfrak{m} \cdot \mathfrak{s}^{-1} \\ \hbar &= +1 \, \mathfrak{g} \cdot \mathfrak{m}^2 \cdot \mathfrak{s}^{-1} \\ G &= +1 \, \mathfrak{m}^3 \cdot \mathfrak{g}^{-1} \cdot \mathfrak{s}^{-2} \\ k_B &= +1 \, \mathfrak{g} \cdot \mathfrak{m}^2 \cdot \mathfrak{s}^{-2} \cdot \mathfrak{K}^{-1} \\ k_e &= -1 \, \mathfrak{g} \cdot \mathfrak{m}^3 \cdot \mathfrak{s}^{-2} \cdot \mathfrak{C}^{-2} \\ N_A &= +1 \, \mathfrak{mol}^{-1} \end{aligned}\]
此乃大秦单位制。
大嬴单位制大秦单位制基于大嬴单位制,嬴为天下极,秦为天下制。
与西洋国的垃圾 SI 单位制做个换算,给尔等展示一下秦制的优越性。
嬴米是世间最小的长度:
\[ \begin{aligned} 1 \, \mathfrak{m} &= \sqrt{\frac{\hbar G}{c^3}} \\ &= \sqrt{\frac{(1.054571817 \times 10^{-34} \, \mathrm{J \cdot s}) \cdot (6.67430 \times 10^{-11} \, \mathrm{m^3 \cdot kg^{-1} \cdot s^{-2}})}{(2.99792458 \times 10^8 \, \mathrm{m \cdot s^{-1}})^3}} \\ &\approx 1.616255 \times 10^{-35} \, \mathrm{m} \end{aligned} \]
秦米扩大 100000000000000000000000000000000000 倍。
嬴秒是世间最小的时间间隔:
\[ \begin{aligned} 1 \, \mathfrak{s} &= \sqrt{\frac{\hbar G}{c^5}} \\ &= \frac{1.616255 \times 10^{-35} \, \mathrm{m}}{2.99792458 \times 10^8 \, \mathrm{m \cdot s^{-1}}} \\ &\approx 5.391247 \times 10^{-44} \, \mathrm{s} \end{aligned} \]
秦秒扩大 100000000000000000000000000000000000000000000 倍。
嬴克是世间最小的重量单位:
\[ \begin{aligned} 1 \, \mathfrak{g} &= \sqrt{\frac{\hbar c}{G}} \\ &= \sqrt{\frac{(1.054571817 \times 10^{-34} \, \mathrm{J \cdot s}) \cdot (2.99792458 \times 10^8 \, \mathrm{m \cdot s^{-1}})}{6.67430 \times 10^{-11} \, \mathrm{m^3 \cdot kg^{-1} \cdot s^{-2}}}} \\ &\approx 2.176434 \times 10^{-8} \, \mathrm{kg} \end{aligned} \]
秦克扩大 100000000 倍。
嬴度是世间最高的温度:
\[ \begin{aligned} E_{标准} &= \frac{\sqrt{\hbar c^5 / G}}{k_B} \\ &= \frac{1.95608 \times 10^9 \, \mathrm{J}}{1.380649 \times 10^{-23} \, \mathrm{J \cdot K^{-1}}} \\ &\approx 1.416784 \times 10^{32} \, \mathrm{K} \end{aligned} \]
秦度缩小 100000000000000000000000000000000 倍。
嬴电是电子的电量:
\[ \begin{aligned} 1 \, \mathfrak{C} &= \sqrt{\hbar c} \\ &= \sqrt{(1.054571817 \times 10^{-34} \, \mathrm{J \cdot s}) \cdot (2.99792458 \times 10^8 \, \mathrm{m \cdot s^{-1}})} \\ &\approx 1.875546 \times 10^{-18} \, \mathrm{C} \end{aligned} \]
秦电扩大 1000000000000000000 倍。
西洋阿伏伽德罗常数,可笑,大秦不需要这种东西。
大秦明察秋毫,能数清每一个粒子。
大秦力学大秦力学由农家牛顿建立。
\[ \begin{aligned} F &= ma \\ 1 \, \mathfrak{F} &= 1 \, \mathfrak{g} \cdot 1 \, \mathfrak{m} \cdot (1 \, \mathfrak{s})^{-2} \\ &= (2.176434 \times 10^{-8} \, \mathrm{kg}) \cdot (1.616255 \times 10^{-35} \, \mathrm{m}) \cdot (5.391247 \times 10^{-44} \, \mathrm{s})^{-2} \\ &\approx 1.21029 \times 10^{44} \, \mathrm{N} \end{aligned} \]
这是朕的力量,大秦子民有幸感受到 100000000000000000000000000000000000000000000 分之一。
此为万有引力定律:
\[\begin{aligned} F = \frac{m_1 m_2}{r^2} \end{aligned}\]
何等的优雅简洁!
此为密度:
\[\begin{aligned} \rho &= \frac{m}{V}\\ 1 \, \mathfrak{D} &= 1 \, \mathfrak{g} \cdot (1 \, \mathfrak{m})^{-3} \\ &= (2.176434 \times 10^{-8} \, \mathrm{kg}) \cdot (1.616255 \times 10^{-35} \, \mathrm{m})^{-3} \\ &\approx 5.1449 \times 10^{96} \, \mathrm{kg \cdot m^{-3}} \end{aligned}\]
5144900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
团结就是力量,大秦牢不可破!
此为功率:
\[ \begin{aligned} W &= Fd\\ 1 \, \mathfrak{W} &= 1 \, \mathfrak{J} \cdot (1 \, \mathfrak{s})^{-1} \\ &= (1.95608 \times 10^9 \, \mathrm{J}) \cdot (5.391247 \times 10^{-44} \, \mathrm{s})^{-1} \\ &\approx 3.6283 \times 10^{52} \, \mathrm{W} \end{aligned} \]
36283000000000000000000000000000000000000000000000000
老秦人勤劳能干!
此为压力:
\[ \begin{aligned} P &= \frac{F}{A}\\ 1 \, \mathfrak{P} &= 1 \, \mathfrak{F} \cdot (1 \, \mathfrak{m})^{-2} \\ &= (1.21029 \times 10^{44} \, \mathrm{N}) \cdot (1.616255 \times 10^{-35} \, \mathrm{m})^{-2} \\ &\approx 4.6330 \times 10^{113} \, \mathrm{Pa} \end{aligned} \]
463300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
有压力才有动力,老秦人不怕吃苦!
大秦电磁学大秦电磁学由法家法拉第建立。
\[ \begin{aligned} F = -\frac{q_1 q_2}{r^2} \end{aligned} \]
同性相斥,异性相吸。
\[ \begin{aligned} \nabla \cdot \mathbf{E} &= -4\pi\rho\\ \nabla \cdot \mathbf{B} &= 0\\ \nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t}\\ \nabla \times \mathbf{B} &= -4\pi \mathbf{J} + \frac{\partial \mathbf{E}}{\partial t} \end{aligned} \]
太完美了!
嬴安
\[ \begin{aligned} 1 \, \mathfrak{A} &= 1 \, \mathfrak{C} \cdot (1 \, \mathfrak{s})^{-1} \\ &= (1.875546 \times 10^{-18} \, \mathrm{C}) \cdot (5.391247 \times 10^{-44} \, \mathrm{s})^{-1} \\ &\approx 3.4789 \times 10^{25} \, \mathrm{A} \end{aligned} \]
嬴伏
\[ \begin{aligned} V &= \frac{E}{q}\\ 1 \, \mathfrak{V} &= 1 \, \mathfrak{J} \cdot (1 \, \mathfrak{C})^{-1} \\ &= (1.95608 \times 10^9 \, \mathrm{J}) \cdot (1.875546 \times 10^{-18} \, \mathrm{C})^{-1} \\ &\approx 1.04295 \times 10^{27} \, \mathrm{V} \end{aligned} \]
嬴姆
\[ \begin{aligned} R&=\frac{V}{I}\\ 1 \, \mathfrak{R} &= 1 \, \mathfrak{V} \cdot (1 \, \mathfrak{A})^{-1} \\ &= (1.04295 \times 10^{27} \, \mathrm{V}) \cdot (3.4789 \times 10^{25} \, \mathrm{A})^{-1} \\ &\approx 29.98 \, \Omega \end{aligned} \]
嬴亨
\[ \begin{aligned} L &= \frac{2E}{I^2}\\ 1 \, \mathfrak{H} &= 1 \, \mathfrak{J} \cdot (1 \, \mathfrak{A})^{-2} \\ &= (1.95608 \times 10^9 \, \mathrm{J}) \cdot (3.4789 \times 10^{25} \, \mathrm{A})^{-2} \\ &\approx 1.616255 \times 10^{-35} \, \mathrm{H} \end{aligned} \]
嬴特
\[ \begin{aligned} B &= \frac{F}{qv}\\ 1 \, \mathfrak{T} &= 1 \, \mathfrak{F} \cdot (1 \, \mathfrak{C})^{-1} \cdot (1 \, \mathfrak{m})^{-1} \cdot (1 \, \mathfrak{s}) \\ &= (1.21029 \times 10^{44} \, \mathrm{N}) \cdot (1.875546 \times 10^{-18} \, \mathrm{C})^{-1} \cdot (1.616255 \times 10^{-35} \, \mathrm{m})^{-1} \cdot (5.391247 \times 10^{-44} \, \mathrm{s}) \\ &\approx 2.1524 \times 10^{53} \, \mathrm{T} \end{aligned} \]
大嬴特嬴
嬴法
\[ \begin{aligned} C &= \frac{Q}{V}\\ 1 \, \mathfrak{F} &= 1 \, \mathfrak{C} \cdot (1 \, \mathfrak{V})^{-1} \\ &= (1.875546 \times 10^{-18} \, \mathrm{C}) \cdot (1.04295 \times 10^{27} \, \mathrm{V})^{-1} \\ &\approx 1.7983 \times 10^{-45} \, \mathrm{F} \end{aligned} \]
大秦高等物理嬴熵:
\[ \begin{aligned} S &= \ln\Omega\\ 1 \, \mathfrak{S} &\approx 1.380649 \times 10^{-23} \, \mathrm{J \cdot K^{-1}} \end{aligned}\]
质能守恒:
\[ \begin{aligned} E^2 = p^2 + m_0^2 \end{aligned} \]
时空度规:
\[ \begin{aligned} \,\mathrm{d}s^2 &= -(\,\mathrm{d}t)^2 + \,\mathrm{d}x^2 + \,\mathrm{d}y^2 + \,\mathrm{d}z^2 \end{aligned} \]
史家,史瓦西度规:
\[ \begin{aligned} \,\mathrm{d}s^2 &= -\left(1 – \frac{2M}{r}\right)\,\mathrm{d}t^2 + \left(1 – \frac{2M}{r}\right)^{-1}\,\mathrm{d}r^2 + r^2(\,\mathrm{d}\theta^2 + \sin^2\theta\,\mathrm{d}\phi^2) \end{aligned} \]
霍家,霍金黑洞熵:
\[ \begin{aligned} S_{BH} = \frac{A}{4} \end{aligned} \]
黑洞的熵直接等于其事件视界面积的四分之一,看起来有点神奇。
海家,海森堡不确定性原理:
\[ \begin{aligned} \Delta x \Delta p \geqslant \frac{1}{2} \end{aligned} \]
薛家,薛定谔方程:
\[ \begin{aligned} i \frac{\partial}{\partial t}\Psi(\mathbf{r},t) = \left( -\frac{1}{2m}\nabla^2 + V(\mathbf{r},t) \right)\Psi(\mathbf{r},t) \end{aligned} \]
时间无关薛定谔方程:
\[ \begin{aligned} \left( -\frac{1}{2m}\nabla^2 + V(\mathbf{r}) \right)\Psi(\mathbf{r}) = E\Psi(\mathbf{r}) \end{aligned} \]
狄家,狄拉克方程:
\[ \begin{aligned} (i\gamma^\mu \partial_\mu – m)\psi = 0 \end{aligned} \]
精细结构常数:
\[ \begin{aligned} \alpha &= -e^2\\ e & = i\sqrt{\alpha} \end{aligned} \]
电荷必须是虚数,非常非常神奇。
