Dear Vasilyeva
Thank you for your reply which I have read and analyze in detail. Please do not get me wrong, but from your comments I could see, as I could also notice in your essay, that you are mixing distinct conceptions of space; one from the mathematical and possibly one from the mechanical. You also make some naive critics on science and scientists which only reflects your lack of knowledge on how science is actually done. In this respect, I would suggest that you try to develop your ideas further and get at least one article published. This will be a lesson for you to realize and understand how scientists work and why it is so difficult for science to accept your ideas even if they are very reasonable.
You say: In my view, Euclidean space is the epitome of a perfect structure. Perfectly even, perfectly flat, perfectly regular. If it is 3D, that too is an aspect of its structure.
Here you are talking about mathematical structure, whereas I am talking about physical structure. Euclidean, Minkowskian or Non-euclidean space does not posses mechanical or electromagnetic properties such as elasticity, compressibility, permitivity, viscosity, permeavility, etc. Geometrically, I agree with you that Euclidean space has a perfect mathematical structure, but it does not have viscosity because this is a property of material fluid. Unless you show me that I am wrong and that there is a theory that models Euclidean space with these physical properties.
You say: I rather see space as primary and matter as the extension of its structure.
I conceive space as matter and particles and fields as states of space. Formally, particles can be modeled as solitons. As consequence they are phase patterns moving OVER the 3D space (as you argue in your essay) and fields are states of this 4D space, but again, it is a fluid space of 4D, not a 4D geometrical vessel as you insist. Euclidean space is the abstraction of the properties of solids, not the solids themselves (see the essay of Einstein: matter and geometry).
You: Have you ever taken an inventory of your convictions trying to guess, which ones will be ridiculed by our descendants, just as we ridicule some of the most cherished notions of the past?...
I think this is irrelevant for our discussion. Most people do not care what future generations will think of us. We have particular problems now and we have to solve them based on what we know now.
You: But the way you speak about geometry is as if nothing maintains its structure. It is the same structure as in QM, only at a different scale.
You are mistaken. GR is a background independent theory whereas quantum mechanic is not. Therefore the way space is modeled and treated is different in each theory. The space of GR is not the space of QM, this has nothing to do with scales.
My understanding of SR is that mathematically it is equivalent to LET. In either case, Lorentz transformation assures that c remains a constant for an observer. I thought that absolute reference frame made sense only in a stationary ether model, for then you could drive a thick nail into that station, lol, and label it O...
Again, you are misunderstanding. They are mathematically equivalent but LET assumes the PSR and SR rejects it. Thus they are two different theories. This is what I discuss in my essay. The rejection of the PSR leads to a series of paradoxes (see my discussion with Daniel Wagner in my entry and his and check my reference 17). Reintroducing the PSR eliminates the paradoxes and defines the speed of light only relative to the PSR, i.e., the material space.
You: Absolute reference frame with a dynamic structure? I completely don't get it. It's like the water in the ocean; it is totally real and tangible and you can even measure the rate with which it passes under the keel, but what use is it for navigation?
Obviously, you cannot use it to orient the ship during navigation but the water is necessary for the ship to float. The same with space, it is necessary not for orientation but for solitons and waves to move. At a first approximation and for the sake of simplification in the calculations we can assume that space is static (this would resemble the old notion of aether) but in general it could be in motion, dynamic.
You: If space has an internal structure means that there is no BB, no expansion, no dark energy, no dark matter, that there is an absolute frame of reference, that the speed of light is constant relative to the homogeneous space, etc. I don't see how this follows. I am comfortable with BB and can even review my stand on post BB expansion.
If space is a material fluid it behaves as any other medium. Space could be thought of as actually a solid or a liquid depending on the elasticity (Lame coefficients). All media are dissipative and dispersive, this implies that as light moves through space it loses energy. From this it follows the that light coming from distant galaxies will appear as red shifted, in other words, the universe could be static and still manifesting Hubble's law. This has already been mathematically proven. Since Hubble law can be explain without resorting to expansion, it follows that there is no BB and no need to introduce dark energy. Dark matter is part of this material space.
You: That space may be seen as a sort of a substance is fine with me. That's how it was traditionally modeled, no?
No, I have explained to you how space is modeled in relativity and QM. Since 1905 when Einstein rejected the aether space has never been considered a material substance and therefore it does not have mechanical properties.
Israel