So you are saying that there can be motion without time ?
How do you define the term "motion" ?
My own naive understanding from observation goes something like two ways:
(1) Motion is defined by nature without human modeling techniques; but if we humans want to make some logical definition to match our naive observations we could say that
(2) Motion is a change of position of an object between instances of our observation of its instantaneous position in a sequence of instantaneous positions which we make sense of linearly as motion across space distance represented by summation of all instantaneous positions for the distance under study.
We use "clocks" (external ones for science and internal ones in our brain for our "sensing and predicting" patterns and behaviour) to compare such "apparent motion traces" across space of a study object's motion, and we call the comparative values a measure conventionally called "time" in our theoretical construct modeling that behaviour. The continuity of said sequence of instantaneous positions and comparisons are used by us to make a "moving picture" graph we can study piecemeal or as a dynamic visualization called a "video" either as simulation or direct movie photography techniques.
Naively I never "see" nature using "time" like we use in our models. That model and time is a device for analysis, not a natural phenomena in itself. I don't have a problem with what we call it, "time" will do just as well as "fred" would. The confusion comes to my naive understandings when "time" label for "motion comparisons" is treated as fundamental natural thing instead of just convenient name for the physical observables involved and the comparisons made between those observables we label "timing".
Your naive understanding is wrong on this point. Motion is defined as a change in position over time. It has been defined that way since Newton in the 1600s. Of course you are free to disagree, but then that would mean you are rejecting 400 years worth of classical physics even before GR, and we will no longer have a common frame of reference within which to continue this discussion in any meaningful way. There is limits to what we can reject without turning all of physics into a farce.
Nature does not "define time" in the way we do. That is the issue and confusion between what is natural observable and what is our "definition according to our brain/models". The model is not the natural observable, yes? I have no problem with us defining things, but when that defined thing is somehow made into a natural observable because of not realizing the difference between modeling and natural observable, then my naive mind rebels at my trying to convince it that "time exists" as we define it, rather than as nature produces it (by motions we can compare in our modeling processes and maths).
If there is no time, there is no motion in space. That has nothing to do with "abstract models", it is simple fact of the universe.
You say that again and again but it does not make it so naturally, only in our 4-D model of 3-D nature's motions (processes of change explained before above). Nature is based on motions of nature not on "time" of nature, because in my naive understandings nature itself does not even know "time" exists, only "motions".
Or are you claiming there is a "natural absolute universal time standard" which nature is "consulting" as it makes things move in space?
No, I understand him quite well. He does not claim that time does not physically exist, he just wants to separate it from space, as Newtonian physics does.
But isn't that alleged attempt at "separation" only in your mind/model?
As far as I naively read Farsight so far, he just says that what is observable is 3-D space and that motions occur across that space as observables?
The rest seems like arguing from your (possible misinterpretation) putting more into his observation than he actually has said as far as I have read him on that here?
Because all the models can retain "time" dimension as an abstraction of "motion comparisons observables" and not as an observable natural thing "time" in itself, then no changes to analytical models and theories are required at all, yes? As far as I read Farsight, he just wants to make the distinction between "time" as a tool and "abstract" dimension, and the "motion comparisons" which that abstract tool uses for its role in our models and theories, yes?
So I think maybe you two are arguing hotly because of some "perceived threat" which doesn't exist from either side of this "issue" which I think is really a "non issue" from my naive listening of what has been said between you on this.
Sorry, but I really can't see your "issue" with each other on this, because I naively understand both sides and understand the distinctions and the role each plays in the science. One is the "irreducible observables" case (space and motion natural), and the other is the "useful abstractions" case (space and time model). Both are necessary to avoid confusion in my naive understandings of what it's about. Thankyou both for discussing it so much because it has helped me a lot.