The relation of colour charge to electric charge

Dirac has shown how the Klein-Gordon equation can be factored into two linear parts using 4x4 Dirac gamma matrices.

where r,g,b and s equal +1 or -1.

For leptons r,g,b all equal -1 and for quarks two of r,g,b are equal to +1 and the third equals -1.

The signs are all negated for anti-particles as in the equation above.

When s = +1, count the number of plus signs (say) for r,g,b which is 0 for leptons and 2 for quarks.

When s = -1, count the number of minus signs (say) for r,g,b which is 3 for leptons and 1 for quarks.

For material particles r,g,b all equal -1 which is always true for leptons and true for three distinct quarks

with r,g,b equal to -1 separately or a quark and an appropriate anti-quark.

A charged particle moving in an electromagnetic field will have E, P, Q, R modified to

the scalar and vector potentials of the field where

www.vixra.org/abs/1309.0033

Dirac has shown how the Klein-Gordon equation can be factored into two linear parts using 4x4 Dirac gamma matrices.

*[Dirac, P.A.M., The Principles of Quantum Mechanics, 4th edition (Oxford University Press) ISBN 0-19-852011-5]*

*(E/c)^2 - P^2 - Q^2 - R^2 - (mc)^2 I = (sE/c + rJP + gKQ + bLR + mcM)(sE/c - rJP - gKQ - bLR - mcM)*where r,g,b and s equal +1 or -1.

For leptons r,g,b all equal -1 and for quarks two of r,g,b are equal to +1 and the third equals -1.

The signs are all negated for anti-particles as in the equation above.

When s = +1, count the number of plus signs (say) for r,g,b which is 0 for leptons and 2 for quarks.

When s = -1, count the number of minus signs (say) for r,g,b which is 3 for leptons and 1 for quarks.

For material particles r,g,b all equal -1 which is always true for leptons and true for three distinct quarks

with r,g,b equal to -1 separately or a quark and an appropriate anti-quark.

A charged particle moving in an electromagnetic field will have E, P, Q, R modified to

**E**,**P**,**Q**,**R**bythe scalar and vector potentials of the field where

**E**,**P**,**Q**,**R**do not commute with each other. Let JKL = N, then:*(s*

= (

= (**E**/c + rJ**P**+ gK**Q**+ bL**R**+ mcM)(s**E**/c - rJ**P**- gK**Q**- bL**R**- mcM)= (

**E**/c)^2 -**P**^2 -**Q**^2 -**R**^2 - (mc)^2 I - s[ rJ(**EP**-**PE**) + gK(**EQ**-**QE**) + bL(**ER**-**RE**) ] / c - gbKL(**QR**-**RQ**) - brLJ(**RP**-**PR**) - rgJK(**PQ**-**QP**)= (

**E**/c)^2 -**P**^2 -**Q**^2 -**R**^2 - (mc)^2 I - s[ rJ(**EP**-**PE**) + gK(**EQ**-**QE**) + bL(**ER**-**RE**) ] / c + N[ rJ(**QR**-**RQ**) + gK(**RP**-**PR**) + bL(**PQ**-**QP**) ]www.vixra.org/abs/1309.0033

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