Hi John. I see you've made several threads asking questions regarding fundamental concepts of cosmology and astrophysics (which I had to remove for being too speculative, unfortunately). It's important to understand that these topics are very complex and that everything you've likely read up to now has been an extreme simplification that loses almost all real meaning. These concepts are also very counter-intuitive for most people. Therefore it is important to take things slow. Slower than you might like.
For starters, attempting to link several different things together to develop a new explanation is a task best left to the professionals in the field. They're the ones that have the skills, time, and motivation to do things like solve the differential geometric equations required to truly understand how our
current theory of gravity (General Relativity) works, let alone develop new math and physics that a new theory would require.
Case-in-point, space does not work like you've written above. The expansion of space is better described this way: "The distance between unbound objects increases over time."
Notice that I did not even use the word "space" there. This is because space (and by extension, spacetime) is better thought of as a framework, not as an entity or object that can move around, accelerate, and do similar things. The only truly dynamic feature of space is that the
geometry of space can change over time. This change in geometry cannot be described in terms of motion, as it is not motion, but geometry.
In real life, geometry itself is inherently bound to measurable and observable objects, as all of our measurements of space and its underlying geometry are actually measurements of objects or disturbances within space. Hence my earlier explanation that the expansion of space is better described as an increase in distance between unbound objects instead. It is these objects which are expanding away from each other, not "space itself". Though the expansion and its associated acceleration is dependent, at least in part, on the underlying geometry of space.
I'm sure most of that makes very little sense right now, so if you have any questions please feel free to ask. In the meantime, feel free to look through the following links. I hope they prove useful:
https://www.preposterousuniverse.com/grnotes/ (a huge amount of excellent information, but also quite advanced)
https://en.wikipedia.org/wiki/Introduction_to_general_relativity
https://en.wikipedia.org/wiki/Lambda-CDM_model