A five-dimensional vector which incorporates space+time+energy can be written as follows:
x̂ = {x,y,z,t,E}
the space-time-energy interval is
∂s²=−ct²+dx²+dy²+dz²+dE²
but instead of E we need to use ħc/eV and get
∂s²=−ct²+dx²+dy²+dz²+(ħc/eV)²
something like that. This is a work in progress. After the breakdown of the standard model, superstring theory, and a whole bunch of other theories, thanks to the LHC, physicists have been searching for a new theory. One flaw has plagued all of them: they treat the 5th dimension like a space dimension. This led me to think that only a dimension which included time+space+matter could be a candidate, and it turns out that energy fits the bill. We'll see how it goes.
