Dear Cristinel
Thanks again for your comments.
Indeed we can talk about different kinds of intuitions, but in any case I think our mathematical picture of the world should be aligned with our intuitive one.
You: If some pope during Copernicus's or Galileo's time had the intuition build on the incomplete knowledge at that time, that the Earth is not moving, how could Galileo appeal to pope's intuition to explain that in fact it is moving?
Strictly speaking, one could easily explain the notion of system of reference which I think is very intuitive too. Well, as I said in my essay, electrodynamics, classical mechanics, thermodynamics, optics, mechanics of fluids, etc. they are very intuitive.
You: should Einstein give up and explain everything in terms of the ether?
Lorentz succeeded in explaining (what we now called) relativistic phenomena using the ether. Actually, Lorentz' ether theory reproduces the same physics as special relativity. it was only forgotten because of SR was axiomatic, simpler and easier to handle, but that doesn't mean that Lorentz' theory is wrong. It is still valid.
You: Maxwell's equations are so simple, but trying to explain them by ether or gear mechanisms is so complicated.
Well, Maxwell attempted to give a microscopic explanation of the mechanisms involved in electromagnetic phenomena and, actually, to a certain extent he also succeeded, but for practical matters, at that time, his formulation was unnecessary. Today, it is necessary to understand the structure of particles and the quantum vacuum. So in this sense, we are continuing the job that Maxwell did, what are then strings, loops, causal sets, axions, etc.? They are nothing but the modern version of Maxwell job.
You: It is not true that nobody understands 11D or landscapes..
Of course, only those who know the math will understand the meaning of this. Same for QM and any other abstract theory. The others will have to conform with the mathematical interpretation which obviously they won't understand. This is my concern, we should look for more credible explanations, 2 or 1000 dimensions in math there is no problem, but are they real or just a mathematical artifice derived from the symmetry and the beauty of the equations? This is the part that many physicists don't buy.
You: Also, in the most abstract math, people don't derive the results by making blind calculations... ...and get the results.
Yes, I'm aware how models are constructed, I agree, I just saying that we need to have a clear picture of the physics. For instance, the wave-particle duality. Many people argue, that these two notions are complementary. I would say that light cannot be both things. So, what I'm having in mind is that there is something more fundamental than a particle and a wave that encompasses both concepts. When we understand that a particle and wave have a common source we will dissipate this duality. We intuitively understand what a particle and a wave are, but when we deal with an experiment such as the double slit experiment our picture of light is as a wave, and then when we talk about the photoelectric effect our picture of light is a particle. Obviously, for intuition light cannot be two things. My proposal is then to propose another physical object that reproduces both aspects of light. Then we would have a mathematical formulation of this object and an only one intuitive picture of light. I'm working in this part.
You: when we want to learn about quantum vacuum, should we also learn condensed matter physics?
Well, if this solves the problems and simplifies the physics, the answer is affirmative. But, I don't think it would be necessary.
Finally, I'm aware that math is fundamental in physics, I don't deny it but from my view the present unifying proposals are failing to give a credible description of the world. Giving this status, I will do as much as possible to create a theoretical framework for a unifying theory that can be as intuitive as Newtonian mechanics. The last section of my essay makes this feasible. However, we have to be conscious that the task is titanic and therefore it would take some time.
Best regards
Israel