How do you define 'static'?
As something 'that is always there'?
If yes; then how do you define 'change'?
If something that 'was always there'... changes... is it then still the same thing that 'was always there' or has it then become something different?
A bronze-statue is 'static' (No temporal changes)
A photograph of the bronze-statue is 'static' (No temporal changes)
A movie can be a sequence of 'static' images, each taken a 24th of a second apart, of the bronze-statue while it is being taken down by politically-correct rioters.
The movie, the strip of celluloid with the collection of all the single still-frames printed onto it, while wound onto a reel, can be considered static while it lies on the table waiting for the projectionist to pick it up and play it.
But the INFORMATION... the movie when projected on the screen, frame by frame, in temporal coherence... is that still static?
And since you say yourself that changes in the field propagate over time... then you have also said that there's a beginning and a middle and an ending of this information-stream.
Don't get me wrong; I'm not saying I'm correct and you're wrong, but I am saying I can't match your view of 'static' with my view of 'static'.
I'm old enough to know that such understandings can't really be explained to people (Including myself), they have to be understood before they make sense.
And just as you clearly don't understand my view, I simply can't understand yours. Only time can move either you or me, depending on who is correct now, into a position where the 'aha-moment' arrives to the one of us who is currently (Perhaps) in-correct (I say 'perhaps', because there is also the chance we are both currently correct, but just use words/images/explanations that are perceived different to their intentions (If we are simply talking 'past each other', as frequently happens during conversations using text))
I posted this link in my previous post:
https://www.fnal.gov/pub/today/archive/archive_2013/today13-02-01_NutshellReadmore.html#:~:text=So even if space had,can also appear and disappear.
'Matter that pops in and out of the universe' (Apparently known as 'quantum foam')
Since you say gravity-fields are static... which one of the following would you say is more likely happening?
1: the particle-matter creates (It doesn't really matter if it's radiated 'gravitons' or if it's an 'imprint/dent' on the fabric of 'space-time'. The net-effect of gravitational influence is the same) gravity in the universe during the time in which it exists, and this gravity (Being statically connected to the matter) disappears again from the universe once the particle-matter disappears.
2: the particle-matter creates gravity in the universe during the time in which it exists, and this gravity-effect remains in the universe (Propagating through the universe 'forever', originating from the point where the particle briefly existed. Similar to the waves LIGO detected after they had propagated for 1.3 billion years) once the particle-matter disappears.
I gravitate (pun intended) toward #2, but obviously that option can't really be compatible with anything that is 'static'.
So assuming you go with #1 (Since that option is compatible with a 'static' field, as you seem to be saying is what exists in reality), how would you explain that the entire field could be statically connected to the particle-matter if information is limited to the speed-of-C?
Or in other words; how would the outer rim of the field 'know' when to disappear, if information from the center of the field (Where the particle-matter that created the field is located, and from where the particle-matter disappears again when it 'pops' out of the universe) can't reach it instantly because of the speed-limit of C?
These 'popping' particles with mass are said to have been experimentally verified (At least I can find several articles claiming this. But reading something in a book or online is of course not the same as actually seeing something (Most of us probably mostly know what other people tell us, which is of course a potential problem if the source was incorrect and nobody were able to detect it) So I obviously can't say if this 'shimmer' or 'quantum foam' is real or not), so to me they present an interesting 'problem'; they must either contribute to an ever-increasing accumulation of total gravity-effect in the universe... or not.
https://science.nasa.gov/science-news/science-at-nasa/2015/31dec_quantumfoam
https://en.wikipedia.org/wiki/Virtual_particle
And if the sun's gravity is not affecting Saturn instantly, but with 80 minutes delay... and if the LIGO-experiment was correct that gravity can exist and travel for 1.3 billion years... then, to my understanding at least, it should follow that gravity (Or the net-effect of gravity at least) can exist without mass as pure information (A bit like light, which can exist even if the emitter-star does not exist anymore. How many stars do we see on the sky that are not really there anymore? And yet we continue to see them every day. Because their emission, the information they broadcast millions or billions of years ago, are only reaching us now ('Now' as 'now' relates to our time and location in the universe, which is really their past))
Do we agree that gravity (The net-effect of gravity. The observed effect. The effect we can feel with our body) can exist independent of the mass that caused it?