Brain Man wrote:Where i respect mathematics is when its actually able to operate in a deep inside out level. i.e. Maxwells work obviously taps into something pretty deep about electromagnetism, such that the equations seem to translate into other realms like gravity.
I'm a bit of a Maxwell fan myself. I wish more people would read his original work rather than accepting the Heaviside recast that is known as "Maxwell's Equations". IMHO all the stuffing got taken out by the vector form, moving from "what it is" to "what it does". The screw mechanism I referred to in the other thread is something alien to people, as is Einstein's variable speed of light. Put the two together and vacuum impedance just jumps out at you.
Brain Man wrote:But other maths such as dirac, and just about the bulk of whats commonly used can be likened to a GPU modelling a photo realistic scene in a movie. Its tortous, long winded and serves purely to chisel out the surface rather than inside out and to the core back out. There can be a dozen other maths (or non maths such as modelling) ways found to do the same thing. Its the occams razor. A lot of whats out there is not adhering to that principle.
I'm not quite sure what to make of Dirac. He was fairly young when he did his famous equation, and like his "sea" it doesn't offer a picture of the underlying reality. But like Einstein he fell out of the mainstream, and people don't know much about things like his proposal that gravity varied over time. So I wouldn't be surprised if I read some material of his that did offer a picture of the underlying reality. Must do more research I suppose. I do keep coming across things that surprise me, and leave me saying "Why didn't anybody tell me about that?"
Brain Man wrote:so the idea of maths above all as being the highest form of understanding is not true. SOME maths is very deep, and ends up producing new knowledge at a similarly deep level. Often that is also quite elegant and simple. Some concepts are also similarly very deep, elegant and simple and start with no detailed maths, but an understanding of the concept of the maths.
I'd go along with that. It isn't a black and white world. Sometimes mathematics delivers understanding, sometimes it obscures it. I think the key is to look at an expression and ask yourself questions along the lines of "Do I really understand what this term really means?" If the answer is no, you aren't getting to the bottom of things. I started by looking hard at E=mc^2, saying what is E? What is it really? I'll dig out Energy Explained sometime to see what people make of it here.
Brain Man wrote:If somebody like yourself manages to put out theories based on integrating good quality (but marginalized) research that are elegant and simple across the board of a breadth of areas, rather than pages of after the fact modelling torture, then that gives me the impression there is the strong possibility that something right could be happening.
Thanks. I do what I can, but sometimes some theoretical physicists are their own worst enemy, and won't entertain anything new that might break the impasse. Such is life. But we're getting there. It's like shifting a tooth. But I've got a little surprise coming up soon that will make life interesting.