Fortunately the total of my scientific work isn't the sum of my forum posts. I might 'waste' 15 minutes typing a long reply, you've wasted days, weeks, months (and I wouldn't be surprised if its years) doing this crap. When I said recently I'd spent time learning fluid mechanics I meant it, I've now got a working understanding of certain areas, which I'm putting to use. When you say you've been 'investigating' the Dirac equation you've not learnt anything usable, you don't even know basic things about it. The time I spend doing science isn't wasted, yours clearly is. Forums are entertainment for me, like other forms of entertainment spending time doing it isn't 'wasted' in the sense your time 'investigating' the Dirac equation was.
My point was that people in the past have been banned for behaviour you display, the mods aren't infinitely patient in that regard.
No, its covered in introductory courses in quantum mechanics. If you've been 'investigating the Dirac equation' and are familiar with Dirac notation (as you claim to be
here) then you should have come across this. For instance $$H_{ij} = \langle i |H|j\rangle$$ is the
definition of the matrix components of the Hamiltonian (or any operator). That's covered in the same section as basic Dirac notation. And using indices is covered in a basic course on vectors, which you should also be familiar with if you've been looking at vorticity in fluid mechanics since its all written in index notation.
You fail to realise that the things you say "Well I don't know that, mummy and daddy didn't pay for university for me" about are
required knowledge for things you profess to have understood or be familiar with. You can't simultaneously claim to be familiar with Dirac notation, the Dirac equation etc and yet not know the meaning of things which are used to describe the Dirac equation or which are written via Dirac notation.
This is why I (and others) think you're being deceptive and a fraud.