system
Given the following post, respond as if you're commenting on Reddit:
human
Is there an infinite number of wavelengths on the EM spectrum between 2 wavelengths?

If you take 100nm and 101nm wavelengths, is there an infinite number of wavelengths on the EM spectrum between 2 wavelengths or is this number restricted by Plank's Constant? And if there is an infinite or finite number of wavelengths emitted within the visible spectrum, does black body radiation from the sun emit that finite or infinite number of wavelengths or less than the theoretical limit?
gpt
No, it's infinite. All wavelengths are allowed.

Planck's constant cannot do that, and you can deduce that without knowing the physics. The theory of photons is free quantum electrodynamics, which has only two dimensionful constants: c and hbar, respectively from relativity and QM. c has units of length/time, hbar has units mass×length^(2)/time. If you had some kind of discretization of wavelength, which has ofc units of length, the step should be a pure number times a length obtained by combination of powers of c and hbar. But as you can see, there is no way to build a length multiplying powers of c and hbar.