- #1
meadbert
- 5
- 0
So I read somewhere about some equation that might explain the Electron/Proton mass ratio, but it was off by several percentage points and the equation seemed complicated.
Unfortunately I forget where I originally read this.
Anyway, I was not particularly impressed, so I wrote a C program to try billions of relatively simple equations and look for ones whose solutions come closest to the Electron/Proton mass ratio.
Obviously many of the more complicated ones had the right answer within machine or measured accuracy, but some did "silly" operations that I could nto see in physics such as taking a sine of sine. One surprisingly simple equations came reasonably close. It is off by less than a tenth of percent so it is obviously wrong, none the less I found it interesting. Essentially the program was looking for a coincidence and that is probably all it found, but here is the equation:
Let x = electron/proton mass ratio
sqrt(x) ~= sqrt(PI/3) - 1
Could be written as:
sqrt(PI/3) = sqrt(1) + sqrt(x)
The equation is similar to that of a circle, but with square roots instead of squares.
PI/3 is obviously very common being the angle of equilateral triangles. Sqrt(PI) is important in probability and statistics regarding the Beta function.
Anyway, I am not a Physicist having taken just 2 physics courses in college, but figured I would throw what is probably just a coincidence out there to see if it meant anything to anyone else.
Unfortunately I forget where I originally read this.
Anyway, I was not particularly impressed, so I wrote a C program to try billions of relatively simple equations and look for ones whose solutions come closest to the Electron/Proton mass ratio.
Obviously many of the more complicated ones had the right answer within machine or measured accuracy, but some did "silly" operations that I could nto see in physics such as taking a sine of sine. One surprisingly simple equations came reasonably close. It is off by less than a tenth of percent so it is obviously wrong, none the less I found it interesting. Essentially the program was looking for a coincidence and that is probably all it found, but here is the equation:
Let x = electron/proton mass ratio
sqrt(x) ~= sqrt(PI/3) - 1
Could be written as:
sqrt(PI/3) = sqrt(1) + sqrt(x)
The equation is similar to that of a circle, but with square roots instead of squares.
PI/3 is obviously very common being the angle of equilateral triangles. Sqrt(PI) is important in probability and statistics regarding the Beta function.
Anyway, I am not a Physicist having taken just 2 physics courses in college, but figured I would throw what is probably just a coincidence out there to see if it meant anything to anyone else.