Tuesday, June 9, 2026

A crank components for π




I ran throughout a cranky components for π based mostly on bodily constants right here

and determined to mess around with it.

The supply describes λ as “wavelength (chosen within the microwave area)” and I believed maybe you can selected a price of λ to make the equation work. However as a remark identified, the bracketed expression is just 2hc², impartial of λ, as a result of Planck’s blackbody regulation. Which means we are able to simplify the expression above to

pi = 2sqrt{2} hc sqrt{frac{E}{m}}

Now the values of h and c are identified. In truth, they’re now precisely identified by definition: different SI models are outlined when it comes to h and c. The mass of an electron is understood to 11 vital figures.

However E within the equation above is “Complete power of the universe.” I don’t even know what meaning. Does it consult with the observable universe? Does it embody darkish power? Does it embody the power equal of mass?

I requested a pair LLMs that the overall power of the universe would possibly imply and what its worth could be, and so they stated one thing like “Relies upon. It could be zero. It could be infinite. But when I needed to say, I’d say round 1070 Joules.”

If we resolve the equation above for E we get 2.8480347886530404 × 1019 Joules. I don’t know the best way to justify that.

The expression for π is just not dimensionless. I suppose you can select some nonstandard models that will make the equation work.

The supply I linked to above cites Mathematical Cranks by Underwood Dudley, however I couldn’t discover it within the e book.

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