I Am By No Means a Mathematician

I am by no means a mathematician.
However, when I come to P = NP---
Dazzled by the complexity of the equations---
I look at each equation like a shape.
As if each equation represented a simple shape;
Or, even a very complex shape.

In my limited exploration of geometry,
I know a few very basic things.
One cannot take the shape of a Right Triangle,
And use the Pythagorean T heorem
To explain an Isosceles. 

And seeing that NP and P 
Can be reduced to this principle,
At its most basic level,
The most fundamental thing to learn
From this system, is that we CANNOT
Generalize a rule for all shapes.
We cannot, for instance, 
Call an equation a polynomial
If it has three dimensions, for example.
If there is a cubed variable,
The equation no longer is a Polynomial.

I think people approach the problem
From the angle of where I approached
Pythagorean Theorem.
It seems intuitive,
To think the proof lies
In the hypotenuse being like a split
Of a quadrilateral. 
But, that is not why it solves.
It seems possible...
Even very likely,
To where you'll be duped into thinking it.
But, upon keen observations,
And studying the equations,
You find it cannot be so
As it would break down equalities.

So, also, I think NP equaling P
Would be the same notion,
Of it seeming inuitive,
That a solution can be made.
But, generally, what's intuitive can be deceptive,
And what's more, you cannot define
The Pythagorean Theorem for a Circle,
Any more than Pi would apply
To a Square.
Sure, one can make equal anything,
But by means of deduction,
There is no way outside of empirical observation
To determine a shape, and how the laws
Of objective space apply to it.
Adding the dimension of time
Further complicates that, and makes even more complex shapes,
Which I believe, its geometry, must be studied independently 
For each individual problem.
Much like the philosophers would study shapes
To determine axioms ond principles.

Thereby, one must study the shapes
And derive new axioms for each individual shape.
And possibly, that will be the occupation of many brilliant men.