Dirac Equation form -Et+px?

In (1), we argued that spatial and temporal resolutions of hbar/p and hbar/E follow from degenerate values of A=-Et+px. In particular, t and x absorb the information of E and p through 1/E and 1/p making A=0 or removing all information from A. We argued that even though this degeneracy only appears in A=-Et+px (not in ctct -xx or  -EE + pp = momo),  -Et+px links (p,E) and space time (x,t)  for mo, v=0 at x=0 with all constant --v frames. Given the degeneracy points n*hbar/p and n*hbar/E, where n is an integer, we suggested in (1) creating a periodic function exp(-iEt+ipx) which represents a kind of probability, i.e. the quantum free particle wavefunction. The use of this periodic function, however, removes the need for t,x in -Et+px, leaving only linear E,p which must be linked to mo. 

    In this note, we first argue that -Et+px really represents the idea that there are setsof (p,E) equivalent to (0, mo) of the rest frame. The fact that one links space-time (x,t) with (E,p) allows one to pull E and p into resolutions of x and t and remove all information from A, i.e A=0. The question we ask here is: Can one use -Et+px to create an equation which directly yields exp(-iEt+ipx)? To do so, we first note that it is really the set (p,E) which defines the physical state as x,t may be any value in -Et+px, even non-trajectory values. This suggests an equation in (p,E) and maybe mo alone and we have already suggested this idea in a previous note. Here, we suggest that -Et+px yields the resolution gradations hbar/p, hbar/E key to the function exp(-iEt+ipx) by pulling E and p information into t and x. Normally, x and t would be independent of E,p. To use E,p,mo to create an equation yielding exp(-iEt+ipx) we suggest pulling t and x information into E and p, the exact opposite procedure. We do not set E=1/t or p=1/x because E and p are fixed values, but we do replace E and p with space-time derivatives d/dt partial and d/dx partial. As a result, a linear equation linking E,p and mo with space-time appearing through derivatives d/dt partial and d/dx partial should be able to yield a solution of exp(-iEt+ipx). 

    We note, however, that (E,p,mo) in a linear equation represents an operator acting on exp(-iEt+ipx). If one multiplies this operator by itself one should obtain an operator equation yielding -EE  + pp =momo for consistency. If this is to be the case, then there is more happening than just exp(-iEt+ipx), one has to introduce matrices in exactly the manner shown by Dirac. Dirac, however, started with -EE+pp=momo and used E=-id/dt partial, p=-id/dx partial without obtaining these from -Et+px. He then decided that the a priori goal was to obtain a linear equation in E, p and mo. We suggest that a link may be made by using -Et+px as a starting point.