And I didn't *think* you meant Hilbert space, as that refers (more or less) to computational methodology (e.g. complete sets, choice of basis).
So to my mind, that left supersymmetry and branes.
My apologies for misunderstanding.
Can you flesh out your point for those of us without a clue?
Cheers!
It’s not a deep thought, really.
Minkowski’s incorporation of time as another dimension of space a top-knotch construct of the free imagination and of re-imaging the actual dynamics of the world, both. And the idea of the imaginary (based off the mathematical square root of -1) parts of that construct somehow relating to the spiritual worlds I have seen considered by a Torah scholar some years ago. Despite the utility of Minkowski’s formulation, and that of the more general concept of (x,y,z,t) being a perfectly acceptable and mundane theoretical n-dimensional space, I still do not accept in the realm of the physical non-theoretical world that time is a dimension like the 3 spatial dimensions. Time is something fundamentally different.
In regards to N-space I was being far more prosaic. Einstein circumscribed our 3-space local world with a hard “c”, the speed of light, beyond which nothing may move faster. Yet if there higher spatial dimensions, actual physical space dimensions, which by wrapping, twisting or scaling are not ordinarily perceptible, then the effects observed by quantum mechanics may still be explainable by them alone, and all still accord with a hard “c” and locality.
In fact it may be that the truer view is that our perceived 3-space dimensions are the tightly twisted ones. Picture that the two QM-entangled diamonds start located next to a point on a tightly wound spring of small diameter. We move one far away in the space as we perceive it, that movement along the curve of the spring proceeds at speeds less than “c”.
Yet, in the higher dimensional space which is only observable through quantum mechanical effects the two diamonds are still very close. We fire the laser at one, and the entangled one far away in our 3-d space reacts. But in the QM N-dimensional space the laser’s “action of observation” hits both, because they are still close, still local. In that space signal velocity is still hard limited by some N-dimensional “c”, per Einstein, but in that space the “observations of the diamonds” are very close.