I Measurement accuracy or variation

[Conn_coord]

I find the values of the fundamental constants here
https://physics.nist.gov/cuu/Constants/
In anticipation of the data of 2022, I want to clarify one point.

Planck's constant is related by an exact expression to some other fundamental quantities:
$$h = \frac{\alpha^2 m_e с^2}{2R_c}\qquad (1)$$

c = 299 792 458 m⁄s (exact)
m_e = 9.109 383 7015(28)∙10^-31 kg
α = 7.297 352 5693(11)∙10^-3
R_c =3.289 841 960 2508(64)∙10¹⁵ s

The SI units are defined in such a way that, when the Planck constant is expressed in SI units, it has the exact value h = 6.62607015×10^-34 J⋅Hz^-1

As of 2018, R_∞ and electron spin g-factor are the most accurately measured physical constants.
https://en.wikipedia.org/wiki/Rydberg_constant

2010 R_∞= 10 973 731.568 539 (55) m^-1
2014 R_∞=10 973 731.568 508 (65) m^-1
2018 R_∞=10 973 731.568 160 (21) m^-1

We see a big leap in value.
So the previous accuracy is a bluff.
Maybe I'm wrong , but its related to the problem called Proton radius puzzle

Which value in the above formula (1) will be determined experimentally, and which one is calculated if h(exact), c(exact) ?

 

[azntoon]

The value of Planck's constant, h, will be determined experimentally. The values of the other fundamental constants, c, me, α, and Rc, will be calculated from the exact value of h, c, and the measured values of me, α, and Rc.