i am a former string theorist, pretty much turned and expanded Maxwell Einstein and Yang Mills in any possible ways, and those comments are garbage.
> original quaternion equations
quaternions are a 3/4d thing, you can write maxwell in any dimensions. sure you can rewrite some 3/4 d physics with quaternions but really no one does that for the last 30 years. we routinely use the group SU(2) or SO(3) but almost never it's quaternion representation. it's really not that practical.
> dumbed down vectors
i don't think it is the vectors that are dumb in this case...
btw it's not only a vector, it's a connection in a U(1) bundle over some spacetime manifold \cal{M}.
> Relativity doesn't play well with quantum mechanics
What in the f**** f**....
it works really well, we call that quantum field theory and it's the best theory ever found by mankind. it works so well CERN didn't found any deviation in 30 years or so.
> Maxwell's original equations are scalar in nature
Oh. My. God.
No. Any Maxwell or Yang Mills is a gauge theory with A_\mu the gauge potential which IS A SPACETIME VECTOR that takes value in some adjoint representation of some group. For Maxwell this group is U(1) so the gauge field aka photons is a real valued vector.
> removed the scalar (time) component entirely
a vector is a vector. a scalar is scalar.
a vector transforms with rotations a scalar does not..
> Can anybody here explain why this is so important
it is not important. it is the dumbest things i heard in a long time.
> original quaternion equations
quaternions are a 3/4d thing, you can write maxwell in any dimensions. sure you can rewrite some 3/4 d physics with quaternions but really no one does that for the last 30 years. we routinely use the group SU(2) or SO(3) but almost never it's quaternion representation. it's really not that practical.
> dumbed down vectors
i don't think it is the vectors that are dumb in this case...
btw it's not only a vector, it's a connection in a U(1) bundle over some spacetime manifold \cal{M}.
> Relativity doesn't play well with quantum mechanics
What in the f**** f**....
it works really well, we call that quantum field theory and it's the best theory ever found by mankind. it works so well CERN didn't found any deviation in 30 years or so.
> Maxwell's original equations are scalar in nature
Oh. My. God.
No. Any Maxwell or Yang Mills is a gauge theory with A_\mu the gauge potential which IS A SPACETIME VECTOR that takes value in some adjoint representation of some group. For Maxwell this group is U(1) so the gauge field aka photons is a real valued vector.
> removed the scalar (time) component entirely
a vector is a vector. a scalar is scalar.
a vector transforms with rotations a scalar does not..
> Can anybody here explain why this is so important
it is not important. it is the dumbest things i heard in a long time.