Funny how many people need to make this wrong when so much remains unexplained by accepted theory and current attempts to fill in those gaps lead to increasingly wild conjecture. As a sociologist I think it's absolutely important to observe that we are a species who tends to attribute the quality of 'absolute' to our knowledge in such a way as to locate our knowledge as an eternally existing truth outside of ourselves. This is a neat trick of our species by which we can confer status on ourselves as if from some absolute external truth - rather than simply an internal mental construct. We have done this since day dot but modern day physicists are no less prone to the behaviour. Of course when anyone challenges that absolute knowledge it brings out vitriol, not because it is right or wrong, but because it threatens our primate status structure.
As to your theory, I would note the following: The old bowling ball on a rubber sheet analogy is clever sleight of hand because of course it relies on gravity to make the marble roll towards the bowling ball. But nothing rolls downhill in zero gravity. Then we are left with the assertion that compressed space time draws things towards it or has some sort of flow. But we are not given any explanations as to the compelling or motive mechanism. Indeed in the rest of the natural world a compression equates to a higher density which propels things away from it or resists their approach. So your theory simply asserts what we already see everywhere in nature and the fundamental drive towards entropy in which matter and energy move away from high concentrations and fill vacuums.
As I have struggled with the apparent failure of modern physics to explain the motive force of gravity your idea also occurred to me but in terms of a misreading of matter not as positive space but as negative space - a zone of lesser density compared to empty space which has greater density. The attraction between two objects then becomes explained by the greater pressure that exists on either side of them compared to the pressure between them. I also thought this idea had some possible merit in explaining the accelerating expansion of the universe. But I wonder if observed gravitational movements can refute this type of 'push' gravity?
