Planck Base Units

This Base Planck Units table is from Wikipedia. It is Table 2 within this linked article.

Base Planck units
Name Dimension Expression Value (SI units)
Planck length Length (L) l_{\text{P}}={\sqrt {\frac {\hbar G}{c^{3}}}} 1.616 229(38) × 10−35 m[6]
Planck mass Mass (M) m_{\text{P}}={\sqrt {\frac {\hbar c}{G}}} 2.176 470(51) × 10−8 kg[7]
Planck time Time (T) t_{\text{P}}={\frac {l_{\text{P}}}{c}}={\frac {\hbar }{m_{\text{P}}c^{2}}}={\sqrt {\frac {\hbar G}{c^{5}}}} 5.391 16(13) × 10−44 s[8]
Planck charge Electric charge (Q) {\displaystyle q_{\text{P}}={\sqrt {4\pi \varepsilon _{0}\hbar c}}={\frac {e}{\sqrt {\alpha }}}} 1.875 545 956(41) × 10−18 C[9][10][11]
Planck temperature Temperature (Θ) T_{\text{P}}={\frac {m_{\text{P}}c^{2}}{k_{\text{B}}}}={\sqrt {\frac {\hbar c^{5}}{Gk_{\text{B}}^{2}}}} 1.416 808(33) × 1032 K[12]

The key equation:

Particularly focused here:

planckclengthtimex

  1. That equation generated the 10th line in the horizontally-scrolled chart.
  2. It engendered a notation by notation analysis which is very much a working project.
  3. It has engendered an ongoing analysis.