Why h Encodes Q_m ​ and c^2

 

• Planck’s constant $h$ is a composite constant that arises from the relationship between energy, frequency, mass, and the speed of light. Specifically:

  $$\mathrm{<span\; style="background-color:\; white;">h</span>}<span\; style="background-color:\; white;">=</span>{\mathrm{<span\; style="background-color:\; white;">Q</span>}}_{\mathrm{<span\; style="background-color:\; white;">m</span>}}<span\; style="background-color:\; white;">\cdot </span>{\mathrm{<span\; style="background-color:\; white;">c</span>}}^{\mathrm{<span\; style="background-color:\; white;">2</span>}}\mathrm{<span\; style="background-color:\; white;">.</span>}$$

• This means $h$ is not an independent constant but rather a combination of more fundamental quantities:

  • $Q_m$: The scaling factor between mass and frequency.
         The mass of a photon at 1 Hz
          A scaling factor that is determined by the definition of the kg.

  • $c^2$: The conversion factor between length and time.
    ${\mathrm{<br\; class="Apple-interchange-newline">c}}^2$: velocity squared of the mass to convert it to energy.

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