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This is the only way
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When regarding "incompressibility" within "fluid" (which is not necessarily a liquid) the discussion moves to models of "flows" and "equations" which I have yet to understand (will be doing more research). One book (which I found on google scholar), "Perfect Incompressible Fluids" published by Oxford Science Publications, had to list the achieving of a truly "incompressible liquid" within a list of assumptions which lead to theoretical equations of an incompressible which apparently exists in the second dimension. Though this book quite dated being published in 1996.
So tried a more modern approach (also within google scholar): A book, "Incompressible Flow" published in 2024 and written by Ronold L. Panton a Professor at the University of Austin (Walker Department of Engineering), separated the understanding of compressible and incompressible flows into two subcategories. One which, the "density changes within the fluid are not an important part of the physics" and another where "fluid density is important". Subjects which incorporate the notion of incompressible flow include the fields of "hydraulics, hydrodynamics, lubrication theory, aerodynamics and boundary layer theory". Panton also stated that water was a "nearly incompressible liquid" within writing. I have not quite finished reading this so I would like time to gather a bit more from this one.
Regarding the creation 4th state of matter which mentioned upon the compression of liquid, the closest thing I could find was general descriptions of matter, however I did manage to find an article by IOPscience labeled "Compressibility of liquids and hydrostatic pressure" (2024). This particular article aimed at disproving the "assumption that liquids are incompressible", a "simplification" derived for "college-level textbooks", with it's objective being to "illustrate the limitations of the incompressible liquid model". This too is one article that I have not finished reading as I just stumbled across it while rereading your comment, sorry.https://i.postimg.cc/13t0h73Y/i.png
Overall there seems to be much I personally don't understand, as practically speaking I still do not know of the mechanism that make liquids, fluids or flows "incompressible" or "near incompressible" in the first place. This is where I will research next, and if you have any quires I will attend to them, as I am now genuinely curious about the nature of liquids.