Sorry I cannot waste my time such a manner.
Then noone will EVER take you seriously. As I said, if you cannot convince a PhD student you're competant at the area you talk about you'll never convince reviewers of journals. Which, incidentally, I've done on this very topic.
I think you lost the part:
This was explained to you, PDEs don't follow the same rules as ODEs. And you cannot reduce a PDE to an ODE in general (or they would obey the same rules).
I even gave you an example, the solution to the wave equation in an interval.
I just need to know the basis because it fails in the basis. Why to deeply understand about waves' mathematics if they just don't exist?
Ah, the excuse of the crank. Why learn something you
know is wrong, despite you being proven wrong many times on even the simple things?
I'm not saying you are incompetent as you say to me, I'm just saying you are in the wrong way studying in deep and may be developing further theories that are wrong in the basis.
You're the guy who cannot do vector calculus or PDEs. So your statement is pure hypocrisy.
You have forgooten that in the "electromagnetic waves" análisis periodical solutions are looked for (in the form X = A.exp (- jwt) and here is where the general partial differential equation becomes an ordinary differential equation
Wrong. You just picked a particular solution and then claimed it's a general solution.
For a start, the plane wave general solution to the wave equation is e^(ikx-wt). I even told you this. That's a function of 2 variables. The wave equation and Maxwell's equations are
PARTIAL differential equations. You cannot say "They reduce in general to ODEs" because if they did, everyone would use the ODE form which are, in general, considerably easier.
Maxwells equations are multivariable differential equations in multiple dimensions. Hell, when you're not in 3 dimensions you don't even have equal numbers of electric and magnetic field degrees of freedom (there's n-1 for E and n(n-1)/2 for B). In cartesian coordinates they are not coupled, so you can solve the PDEs seperately. In other coordinates, like spherical coordinates, they are coupled and you have to consider them all simultaneously.
This is a FACT of basic vector calculus. Nothing to do with physics, the maths is unavoidable.
That was what Alphanumeric did and all references do.
None of us made that mistake.
I'm very conscient about what I'm confronting...
But you don't actually know any of it. Prove me wrong. I'm calling you a liar and a fraud.
Have you tried to get your work published? If not, why not. If so, what did the referee say?