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Chad Young Feb 2021
There must be no other way than approaching a math problem without notes.
Going into it with only the last few pages of work, which probably doesn't even give the answer.

What I envy is having one problem that a mathematician wishes to work on, and doesn't give up until she has exasperated every nook.
For me, that problem would have to so boggle the mind that it would seem like I would have to invent something just to make it work.
No, I'm not one to finish calculating a list of unknowns to come up with a super-law.
No, I'm one to invent from nothing.
Challenge authority.
I say I can prove that a tangent plane can intersect a sphere in two points.
It seems silly, but think what a new math could do!
I must use all my psychic powers to do so, but don't tell anyone, just between me and you.
Think of the possibilities!
Math guy.
Chad Young Feb 2021
Grassmannian scattering amplitudes.
Galaxies with momentum horizons.
Galaxies moving in different directions at different speeds.

Still haven't found the graviton.
Colliders.
Huge interferometers.

Any work here seems like a lot of teamwork in companies.
I'm a drop in the bucket, whose feeling is my enemy if I am to manage complexity.

So one part of me says "just do it, do the problems I have prepared to do".
But I feel I'm missing a level of management of the field, like I'm not getting the big picture.
It is said: from point to expanse to point and back again.
Am I looking for a shortcut?
Learning purifies, it reveals what is now impossible to see.

A lack of study?
I know all the fundamental theories of physics and elementary calculations.
I know of all the branches of math and where they lead.
All of my notes of formulas are unused.
It's good that I studied electronics to know what focusing on math and physics gets me after graduation.
What really stays with me is what electronics isn't, but also how basic it is.
This is what I now expect for this endeavor.
The less help I get in it, the longer it takes.
Muhammad, pbuh, said get half of your knowledge from others and half from yourself.
But it is hard to tell what is from me.
Is my work the only thing: He meaning only let help solve half my problems?

There is:
1. What I need to work on
2. What I want to work on
3. Gain a degree of simplicity
4. Understanding what work is not

Studies show that novices often pay attention to different elements in a problem than experts.
I gain more from being asked a question that is impossible to answer than solving a question for computation's sake.
How do I know why a plane tangent to a sphere can only intersect at one point?
I knew that before I did the problem, but I wasn't aware I was trying to disprove that!
Like trying to make black pigment out of only yellow and blue.
No, that's too simple.
It is like nothing I ever experienced!
I was unaware of the use of the elements.
It is one thing to read a theory, to copy an equation, but to go through problems makes me experience the elements in ways I never knew.
To know limitations I was blind to because I had never tried to connect them before.
That is why experts can zero in on a problem so fast, and why novices are snagged on basics.

This excursion into the expanse has ended with a knowledge of the love of math problems.
Self-study, but with four degrees.

— The End —