Manuel,
This does seem to me to be a very interesting essay. While I do not have any math skills to speak of, my interest in physics is that I'm forced to encounter it on a moment by moment basis and the field seems to have little to say about what I experience. Your approach does seem to be fundamentally dynamic, where the convention is more of a static geometry. Which is all well and good, but only describes a limited fraction of reality. While my entry in this contest is a bit of a throwaway, it does give my view of the limits of information. A deeper factor in this would be the subject of my entry in the prior contest. That time is an effect of action which physics treats as parameter because we experience it as sequence, so it becomes a measure of duration, when the underlaying cause is change. To wit, it is not a fourth dimension from yesterday to tomorrow, but that tomorrow becomes
yesterday because the earth rotates. While I go into this in the essays, one correspondence with your approach is the inherent dynamism of cause/effect. To often it is assumed to be sequential, yet one event no more causes the next in the sequence than one rung in a ladder causes the next. Yesterday doesn't cause today. Cause and effect is, often non-linear, energy transfer. Light shining on a spinning planet causes the sequence called days.
I also think there is a basic explanation for gravity. We treat quanta of light as point particles, why why would they travel as such, having no internal structure? Wouldn't even quanta of light expand when released and contract when absorbed? Such that when light is released from mass, it expands. Think atomic explosion. So when absorbed into mass, it creates a vacuum. There is no observed dark matter, but there is lots of excess cosmic rays around galaxies and stars lack heavy metals on the perimeters of galaxies, but get progressively heavier as they form further in. So gravity is not so much a property of mass, as an effect of energy condensing into mass. The result is a cosmic convection cycle of collapsing mass and expanding radiation. With redshift being an effect of this intergalactic expansion of light being matched and balanced by the gravitational collapse of mass, so that the universe as a whole is not expanding.
This means space is both inert and infinite, since it has to properties to move, bend, bound, etc. This makes space both absolute and infinite. Mass is the attraction of the inert, while energy is the attraction of the infinite.
That non-linear transfer is better understood in thermodynamic terms, rather than temporal ones. Time is to temperature what frequency is to amplitude.
Could go on, but it's your thread. Good luck.