[deleted]
Dear Cristi
Thank you for your reply. Indeed you may classify me with those who believe in the aether. But there is a philosophical difference with Maxwell's view. Maxwell had a Newtonian notion of space, he believed that space existed as a vessel or container for bodies, and independent of them. Therefore, he also believed that the aether was filling space. In this sense space was for him something with no material properties. This belief can be still found today. Some physicists believe that space exists (or a background) and they fill it with the Higgs field or any other, certainly the context is quite different but the idea is almost the same. In contrast, I am saying that the aether, the vacuum, the space, the ubiquitous field are the same thing. I am not filling nothing. The notion of field that I have in mind is just a state of that subtle matter in the sense of Maxwell and some of this kind. On the other hand, currently most physicists think of a field as a quantity that varies in space and time and carries momentum and energy with independent reality of matter (of the standard model) and space and time. This notion is the legacy of mainly Oliver Heaviside and Einstein.
You: I couldn't go beyond the conclusion that, if space needs to be made of "something", that "something" must be made in its turn of "something2" and so on.
I: Yes I have an internal representation, and my argument is simple: Since I am saying that space is made up of matter, I cannot say, "so on" (please see the paradox of Aristotle in my essay). Matter cannot be made up of another thing, it is just made up of matter and that is it. I am considering matter as a primordial entity or substance.
You: Knowing that I am just a human being, with no capacity of knowing the true nature of things, I am happy to understand as much as I can from the relations between them. For me, these relations are logical enough when can be put in mathematical form. Even these relations I can't perceive as they really are, but only from my own limited, subjective viewpoint. And they require already much speculation, so going beyond them, to search the substance from which they are made, would be too much for me. I don't think we can study that substance, only our interactions with it, hence the relations. Please understand that I am just telling you what I am trying to do, and I am not implying that you should do the same.
I: I definitely agree with this paragraph. O. Heaviside said almost the same as you. He mentioned that one could only make conjectures of the nature of that primordial substance (aether) but one could never know its real nature. Believing or not in that substance has many implications in the logical consistency of a mathematical model that, in spite of its limitations, the model could be a better approach to reality than others, like for instance general relativity.
You: The two examples I gave you in my previous comment were not meant to appeal to General Relativity to contradict your conclusion that time is infinite, by contrary, I intended to show with them that even the Big Bang as it is understood in cosmological models based on General Relativity, is compatible with an infinite history.
I: Well, yes and no. This is why I have emphasized that one should be coherent as much as possible in both ordinary (baggage) and mathematical language (points c and f of my essay). Strictly speaking the Big Bang model says that there is a beginning of space and time and the question "what was or happened before the Big Bang?" is not legitimate. It cannot be asked. In this sense there is a contradiction with my essay. If one appeals to the Conformal Cyclic Cosmology it may not be the case.
You also argue that one can play with the coordinates and change the scale of time to the past infinity, but if you do this you will probably contradict the observations based on nucleosyntesis, etc. and the whole model will be in problems.
As an ad: Very recently I have been analyzing the physics of the Special Relativity (SR) and Maxwell electrodynamics. And I think I have found a serious paradox that clearly suggest that electrodynamics is not compatible with SR concerning the exclusion of a privileged frame. As you may recall electrodynamics was formulated to be valid in a privileged frame of reference. Right now I am working in this paradox that if I succeed, it would make us entertain the validity of SR. If you are interested in this we may keep in touch to discuss these matters beyond this forum.
Israel