Paul Bird's Scientific Research

An Exceptional Supersymmetry It is proposed in this article a way to construct an exceptional supersymmetry distinct from the family of usual supersymmetries usually labelled by N. (N=1, N=2, N=4 and N=8). It relies on the special properties of the root system of E 8 . It is a different kind of super-symmetry in that the superpartners don't have the same charge but together the charges from all the particles in the representation form a group. In a nut-shell we are assigning spins to elements of the E8 algebra and promoting them to super-symmetry operators. The special properties of E8 allows us to do this. Introduction The similarities between  N=8 Supersymmetry with 256 generators and the group E8 with 248 generators is suggestive that there might exist a combined structure with properties of both. Noting that E8 can be split into a bosonic part (a representation of O(16) ) and a fermionic part a spinor representation of O(16). We can assign a "spin" to each...

These unit take the mass of the Top Quark (175GeV) equal to 1. Then we have approximately: m(top) = 1 m(H) = 1/ √2 m(W), m(Z)= 1/2 m(b) = 1/42 = 1/(6.7)    m(strange) = 1/1842 = 1/42^2 m(up) = 1/72000??? = 1/42^3 m(charm) = 1/141     (close to fine structure) m(down) <  1/182^2 m(tau) = 1/100   = 1/10^2 m(mu) = 1/1673  = 1/41^2  m(e)=1/345000 = 1/587^2   t(1)              b(A) c(B)             s(A^2) d(B^2)        u(A^3) A=1/42 B=1/135 m(v)=?=exp(-9) h=1 = 6.6[-34]m^2 kg/s c=1  = 3[8]m/s m(H)=2.22[-25]kg 1 s = 3*10^(-17) If we consider only mass^2 as important then we see: m(H)=1/sqrt(2), m(W or Z)=1/2, m(top)=1, m(bottom)=1/42 1 Length Unit = 1.0[-17]metres  /(1.414) 1 Time Unit = 3.3[-26] seconds   /(1.414) 1 Mass Unit = 2.22[-25]kg   (*1.414) G  = 6.67[-11]m^3/ kg/s^2 = 1.6[-35] Units = ex...

Classical Temporal Logic In classical theory any two events satisfy a time ordering. We shall call this classical temporal logic CTL . The rules of classical temporal logic are very simple. Since they are just the rules of inequalities of real numbers: A>B    →   B<A !(A>B)   →  A<B or A=B A>B & B>C  →  A>C Or equivalently given that x  →  y is equivalent to saying that (!x or y) is true, these rules can be given by saying that in CTL these statements are always true: !(A>B) or B<A A>B or A=B or A<B !(A>B) or !(B>C) or A>C With these rules we can dispense with the underlying geometric idea of events as points in space-time and we have all we need to know to compare the temporal ordering of events. Relativity In relativity there are four possibilities for events. Either event A is is in the future light-cone of event B in which case we write A>B or A is i...