Another element that's being discussed is, like with mass and spacetime, that the spatial dimensions themselves are emergent phenomenon arising from bulk entanglement. Sean Carrol has talked about it a fair amount, and it's been surfing around maybe harder than it would ordinarily, because it provides some edge cases that are, at least conceivably, testable without solar-system-sized accelerators or a DeLorean to the beginning of the cosmos. It's an evocative thought. In one interpretation of this, Double Slit restricts many of the spatial dimensions, resulting in a particle that might seem to be in different places, but which is, in some respects, the same particle. Another interesting notion is that singularities, in some dimensions, might be the same place.
Combined with your notion, it almost re-frames mass as - forgive me for getting poetic here - a measure of fate. How much does this resist doing that?