just as Euclid himself thought.
As an immediate consequence of making the (4d spacetime vs dynamic 3d FPHS) correction, one dimension got freed up (which we were reserving unnecessarily). Kaluza’s miracle of obtaining Maxwell’s equation in addition to Einstein’s field equations seemed to demand a heavy price: a 5th dimension was required as an embedding space. Actually, 4 dimension is sufficient (and we get electromagnetic phenomena as a bonus!). In fact, the implications of freeing up a dimension is much more profound, and solves the requirement of a fifth dimension popping up everywhere in physics (but stringent limit on the number of dimensions set at four from experiments & observations simply won’t allow that).
Since every star and planets and even ourselves are ultimately made up of particles (which are mere excitations/resonances in the 3d FPHS fields), therefore, every bit of matter is eternally trapped in this 3d FPHS, and is getting dragged with it. Every particle is guided by its own pilot wave generated in widely spread field (as correctly guessed by deBroglie and Bohm) and the collective pilot wave fields create this 3d FPHS. Gravity is not a warping in 4d spacetime, but a stretching of this 3d FPHS (by massive objects) in the 4th dimension. Every normal baryonic matter has a natural tendency to move towards the future (away from the center of the universe). This 3d FPHS behaves just like a stretched rubber membrane, and all massive objects nearby stretch this membrane in a single direction, thus enormously amplifying their collective stretching. This magically solves all dark matter related issues as we will soon see.
We have another piece of the jigsaw puzzle: The 3d HS is also getting stretched (Hubble’s law) as it moves in the 4th dimension. From previous discussion, and this clue, two models of our universe are easily possible: expanding grid model, and hyperballoon model.
Here is another piece of clue which finally nails it: Our universe does have has a Centre (although the Centre does not lie anywhere in our 3d space or 3d FPHS). This can be easily proved:
The Centre of Mass equation is a powerful equation.