Alright, let us begin. My dad wrote something up a couple months ago and I told him I'd post it online for him. I am typing exactly what he has written without editing. Edit: I wrote 'pi' in lieu of the pi symbol as I couldn't figure out how to write the pi symbol. I used '^' to denote exponents for the same reason, and 'sqrt' for square root. Also, for those who wish to follow along, he was using a CASIO fx-991MS Plus calculator. Also, it is possible I have misread some of his handwriting as I often don't understand the formulas, so if you see any errors let me know. Let the fun begin! ........................................................................................................................................................................................................... Formulas for finding the elementary and the mass of the neutron, the proton and the electron. We will start with Planck units where Planck's constant, (h) the speed of light (c), Coulombs constant (will use M as is the memory element I use on my calculator and the Gravitational constant (F) for the same reason; are all "||" ie: they are used to set the standards instead of man made standards as mass (1cc water=1 gm) etc. In planck constant units: B = 1/B = 4(30+1/pi) where B is the mass - charge ratio of the neutron. We will now define a correction factor "Y" (from calculator) Put 16 B^-1 / 3 in calculator so answer (A) will have this value in it. Y = (B+1+ans2/2)/(B+1+ans(1-ans)). Now in my calculator solve for A = 1/A = 4(30+1/pi+sqrt2(1-Y^3)/Y^2/3 Now solve for C by C-1/C = -4{30+1/pi+8sqrt2(1-Y^3) B^-1(1-B^-1)/[B+16B^-1-AY]} Now make C=8C and A=AY-16A^-1 Now in the calculator: B is the mass to charge ratio of the neutron. A is the mass to charge ratio of the proton. C is the mass to charge ratio of the electron. The elementary charge in Key E is made (29+1/3) Now make A=AE, B=BE, C=CE where A, B, C is the mass of the proton, the neutron and the electron, but in Planck units. E is then made YE and is the elementary charge (absolute value of the electron or proton charge as measured on the outside of the system but again in Planck units Now consider the following mass and charge standards. sqrt hc/F has units of mass sqrt hc/M has units of charge (F is gravitation constant and M is Coulombs constant). sqrt hc/F = 1 in Planck units as does sqrt hc/M ...................................................................................................................................................................................................... I'll leave you hanging for now and will continue transcribing my dad's notes in my next entry. |