Hi Jimmy,
You're right on so many levels in your essay - Maths without Models creates Muddles - and that's what Physics has been doing for the past Century.
While the Physicists have been playing with the Math they have developed increasing bizarre explanations for the most mundane aspects of Physics.
I, like yourself, Faraday and Maxwell realised the need for a 'back to basics' approach to solving our current physical quandaries - and as you would know it is always better to have a plan of grandfather clock and its workings rather than just attempt to build one from observing the motion of its hands.
So I developed Tetryonics - the Charged geometry of mass-Energy and Matter in motion - whose single element is an equilateral triangle of ElectroMagnetic Energy-momenta [you may know it better as Planck's Constant].
From that I built 2D & 3D models of all the fields and particles known to physics and set about correcting the errors in perception that have arisen from Maths without Models [all of which are on the web at youtube.com/tetryonics].
In fact I found so many 'little' errors to correct that the project evolved into a 4 year odyssey and now totals 1300 illustrations on every conceivable aspect of QM, QED, Chemistry & Cosmology [even the long sought quantum theory of Gravity as revealed itself]
I invite you to take a look and see what the geometry of Physics looks like and see that Uncertainty and Schrödinger's cat have vanished along with Black Holes as manifestations of the 'limited' minds of Mathematicians.
I am sure you will appreciate the beauty of my work and find many new ways to apply it to developing your knowledge of our Universe.Attachment #1: Figure_21.06__Joule_800x600.jpgAttachment #2: 1_Figure_72.06__Singularities_800x600.jpg