Leaving aside Miles Mathis' crackpottery, pi is one of those mysterious values that crops up in the most unexpected places.Purely for completeness sake, and so I can openly dodge the obvious 'shifting the goalposts' exposure, (due to my using the simplified 'rock' example), I offer this load of total gobbledygook as an example of someone who appears to be seriously attempting to argue that the value of pi is 4, thus demonstrating the different way his mind works in coming up with an alternate value of pi.
Be warned! Miles Mathis is a reknowned web crackpot .. but his 'proofs' are not simply identified as frauds from casual perusal. This post might be better off being a separate thread in the Non-Mainstream forum, actually.
The calculation of the energy levels of the hydrogen atom has been around for about a century but recently a mathematician and physicist looking deeper into the calculation found pi lurking in quantum mechanics.
A Classic Formula For Pi Was Discovered Hidden in Hydrogen Atoms
Paper here:
A famous pre-Newtonian formula for π is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, including the physical three dimensions.
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