posted on Jun, 4 2009 @ 11:57 AM
Just something I noticed in part 1 of the video, Boyd makes a claim about Einstein's theory being expandable by the binomial theorem, and that this
gave the first five forces (usually I've seen this as 4, strong nuclear, weak nuclear, electromagnetism, gravity, but he had electromagnetism and
magnetic separately). Since this was a claim that I can investigate from the comfort of my basement, I decided to check it out :p
m = m0 / sqrt(1 - v^2/c^2)
Using the maclaurin series you get: (valid as long as v^2/c^2 < 1, which is true as long as you aren't moving faster than light)
m = m0 ( 1 + 1/2 v^2/c^2 + 3/8 v^4/c^4 + 5/16 v^6/c^6 + 35/128 v^8/c^8 + 63/256 v^10/c^10 + 231/1024 v^12/c^12 + 3003/14336 v^14/c^14 + ... )
(hopefully I did the last couple terms right :p correct me if i messed up)
Then Boyd said if you multiply both sides by mc^2 you'd see the first eight forces...
(mc)^2 = m0 ( mc^2 + 1/2 mv^2 + 3/8 mv^4/c^2+ 5/16 mv^6/c^4 + 35/128 mv^8/c^6 + 63/256 mv^10/c^8 + 231/1024 mv^12/c^10 + 3003/14336 mv^14/c^12 + ...
mc^2 is the rest energy of the mass, 1/2mv^2 is indeed kinetic energy as Boyd states, but after that, I don't recognize anything. I'll stare at it
a little while longer and see if anything comes out at me.