a=1/1: Nothingness as far as the eye can see
…
a=1/136: Nothingness as far as the eye can see
a=1/137: BOOM! Life, the universe and everything
Maybe I’m off, and maybe I have the numbers backwards (again, I’m a layperson), but I feel like the speed of light may be an unusual case among universal constants in that you can actually show an interesting gradient of effects as it changes.
Have not heard the statement that is alpha was a tiny factor larger/smaller that would make atoms no longer exist. It's this were true, this would actually be a way to actually calculate it from first principles ('at which value of alpha are there solutions to this equation'). Edit: typo
The speed of light does change physics, as does any fundamental constant. Expressing a speed in different units does indeed yield different numbers, but that is not equivalent to a change of speed.
Changing alpha means that electromagnetic force get stronger or weaker, thus the atoms still exist but with different orbital levels. Considering how intricate the orbital levels of atoms are, it's not shocking that a tiny change in alpha completely redefines chemistry, but chemistry would still exist.
4*π*ε_0*ħ*c*α = e^2
e is the charge, h is the Planck constant, ε_0 is the electric constantHowever, h is heavily related to c with
E (photon energy) = h*c/λ
where λ is wavelength. And, ε_0 = 1 / (μ_0*c^2)
where μ_0 is the magnetic constant, and is determined experimentally as 4π × 1.00000000055(15)×10−7 H⋅m−1.A Kibble balance (dog food?) has become an instrument for measuring weight from a known current, rather than measuring current from a known weight.*
Wikipedia says the the strong force must be within 0.5% of some value and the finestructure constant within 4%: https://en.wikipedia.org/wiki/Fine-tuned_universe#Carbon_and...
At some point if you change the speed of light the information exchange inside of atoms would be disrupted and the system collapses.