Body:

Idea: What if we are misinterpreting a topological tension as mass?

Think of spacetime as a Japanese wrapping cloth, Furoshiki.

Standard GR is a FOLD: Put a ball on the cloth, it dents. Remove the ball, the dent disappears.

What I call a SEAM is different: Sew two cloths together. Even with no ball, there is tension along the seam. We might be calculating that tension as "missing mass".

This is similar to cosmic strings, where an angular deficit creates gravity without mass.

Interesting coincidence: If the seam tension is cosmological in origin, its characteristic acceleration would be ~ c*H0, which is ~ 1e-10 m/s^2. This is the same order as MOND's a0. So MOND's a0 might be the typical tightness of the weave, not a new law of inertia.

Not claiming this replaces LCDM. Just a toy intuition.

Is there any work trying to get galaxy rotation curves from a network of very light, late-time topological defects rather than particle halos? What kills this idea?

I used LLM for traduction, my English is bad!

The hypothesis came to me during work, in a context completely unrelated to physics, so I’ll spare you the details!
While cutting hair, I realized that physically, we need time to perform any action, and this 'time' is different from the space-time concept. To cut a strand of hair, I need to exert force over a specific period, adding the natural motion of the scissors.
Applying this to physics, a fixed-time coordinate and a malleable space don't seem to fit this thought.
So, I positioned time as a 'flow of information' that pushes the arrow of time toward the future, creating causality. The thought is as follows: in the beginning, there was only a primordial probabilistic field. From this field, two spaces originated: a Hilbert space, which gives rise to quantum mechanics, and another from which the primordial flux originated. This flux interacted with the Hilbert sector, adding the 't' vector that dictates the Schrödinger evolution, generating the arrow of time. Subsequently, decoherence occurred, and from decoherence, temporal and spatial perception emerged.
Thus, gravity becomes something simple, not a fundamental force.
Space-time wants to expand indefinitely. Quantum probability wants to maintain cohesion through the fundamental forces. The fundamental forces decrease with distance, but for very close objects, they overcome expansion, creating a deformation in the flux. The flux forces matter to be coherent, following causality and the principle of locality. From here, it becomes simple to reconstruct Einstein

Where does this thought experiment on time and emergent gravity break down?