Recent content by waves and change

Thank you for the insight in your posts which steered me in the right direction and I was able to get a grasp of the geometrical aspect after finding a few good online papers. Thanks again! This thread can be closed

What relevance this post had? ...None

Just to add to the answers already given. The real issue is that math can not be translated in many aspects into the English language. The math is a language of its own that describes a photon. But trying to describe this using another “basis” - English... it doesn’t translate.

Thank you! I will attempt this later on!

So you got emotional over the memorizing proofs robotically...I see... sorry to offend you. Truth is many proofs are so complex that even professional physicists need to simply memorize them ( if they have any use for them etc). But no worries agree to disagree

Oh said in my post that I don’t want to address phenomena mathematically? Haha I guess English isn’t your forte ... I said simply that I was looking for a geometrical interpretation of a specific topic.. Fourier transform. If you can’t differentiate between those two statements... you have a...

I said I wanted insight into the phenomena geometrically because I have learned the pure mathematics proof. That’s why the question states geometric intuition. I would assume you understand that statement hopefully.

Who said I don’t want to address phenomena mathematically. You don’t know anything about me yet want to make these blanket sarcastic statements about my budget. I love math and studied math and physics in college. I’m wasting my time with someone not worth my time. I found a few good sources on...

Because I don’t just read a textbook see a proof and robotically memorize it. Geometric interpretations can give deep insight when you “ take a step back “ in my opinion. Thank you for the “ geometric insight “ any sources you know of that give insight into this?

You used the word uncorrelated I’m trying to see if there is any geometric insight here. Imagining a sine function at 1000 points ? Don’t see what information that conveys ?

Thank you. I will look into this!

Thanks for the insight but nonetheless thinking of functions as being uncorrelated doesn’t really do justice geometrically. You can easily picture 2 vectors being uncorrelated by having a 90 degree angle between them. I’m trying to imagine an analogue with regards to sine functions ... Thank you

Finite difference method is just a discrete method to approximate a diff. Equation. That doesn’t really give any insight into my question as posing discreteness as the underlying fundamental feature. Same can be said for Lattice gauge theory which just serves as a tool to approximation continuity

Thank you !

Thank you for the insight, when you say somewhere along the x-axis there will be a point with a value with opposite sign. Is there a way to describe quantitively where that point is given the initial point chosen ?