I don't have an issue with Paul disagreeing - only with his being disagreeable - insisting that everyone else is an idiot.

The thing is he hasn't learned the "correct" way sufficiently to criticize it.

He also hasn't thought through the implications of what he is saying; namely, that even the scientists whose work he finds acceptable use the same math that everyone else uses.

If equal doesn't mean "equal" then you eventually end up with inconsistencies.

I'm not familiar with the formula you give, but it can easily be made dimensionally consistent by putting the correct units as part of the constant. Technically, the formula is incorrect - even if it works.

For example, there are people who will say that you can multiply the number of feet by 12 to give you inches. This also works, but is incorrect. It doesn't matter in the simplest cases, but losing the units on more complicated problems is a recipe for disaster.

1) Using his method, we lose one of the most basic checks - dimensional consistency.

2) Using his method, we are at a fundamental inconsistency:
1m * 1m = 1m^2, BUT
m^2 * m^2 <> m^4

3) Using his method, we lose the ability to communicate with the rest of the technical people.

4) If the standard way of addressing this were as far off as Paul insists, then we should literally be having 1000s of colossal engineering failures every day.