- #1

Conn_coord

- 37

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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)∙10

^{15}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) ?