Continuing from my work on the relation between Clifford algebraic symmetries and M-theory, here I will initiate an analysis of compactification via the derived Kähler-Atiyah bundle associated with Clifford-Kähler manifolds. Recall that whenever 2 or more D-branes coincide, there is a Clifford algebraic symmetry whose generators allow us to derive the total action:

and since D-p-branes are metaplectic solitons in closed string-theory, by the von Neumann boundary condition, there is a natural coupling of the super-Higgs field $A_\mu ^H$ to the world-sheet of a string through its boundary:

Hence, $A_\mu ^H$ lives on a p+1 dimensional subspace with a ${\Upsilon _\kappa }(\cos \varphi )$ contribution, yielding the world-volume action:

and since world-volumes have conformal invariance, by solving the n-loop level equation of motion

The cosmological primordial perturbations of the universe, implicitly defined by the Wheeler–DeWitt equation:

a partial differential equation determining a wave-function not defined in space or time or spacetime, with:

and $\psi$ satisfies an approximate Schrödinger equation:

are clearly quantum in origin. One of the central foundational philosophically pressing problems in physics is to describe a 'collapse' dynamics that explains the classical features consistent with astrophysical data. Given the 'no-time'-property of the Wheeler–DeWitt equation: namely, that it lacks an external time parameter and it lacks a first derivative with an imaginary Schrödinger time-factor, as well as its linearity and symmetrization, we face a deep conflict with the Lindblad equation:

given that its central properties are time-asymmetry and entanglement-entropic-irreversibility, and whose Lindbladian:

describes the non-unitary evolution of the density operator, with:

Besides the problem of the undefinability of the Lindbladian system-bath interaction:

and

in the quantum gravitational cosmology context: see Derivation of the Lindblad Equation for technical details, we already face the tripartite conflict of time