The Partially-Compactified Bounce A Falsifiable Conjecture in Eleven-Dimensional Loop Quantum Cosmology

I propose a single conjecture: that gravitational collapse of universe-mass matter to Planck density in an eleven-dimensional setting reduces, on a fixed seven-dimensional compactification, to an effective four-dimensional bounce whose output reproduces Big-Bang-like initial conditions. The conjecture is contingent on one technical claim — that the zero-mode reduction of Zhang’s eleven-dimensional Loop Quantum Cosmology Hamiltonian on the seven compactified dimensions is a controlled approximation at bounce curvatures. I do not derive the reduction. I state the conjecture, give the parameterized form of what the reduction would have to produce, show that the resulting four-dimensional critical density falls within one to two orders of magnitude of the standard Loop Quantum Cosmology value, and identify the specific calculation that would prove or disprove the conjecture. I take no position on the physical interpretation of the seven compactified dimensions; I treat them as mathematically required by M-theory and as relevant to the scaling argument, no more. The paper is short by design. Its purpose is to specify a falsifiable target for specialists in higher-dimensional Loop Quantum Cosmology and G₂ geometry, not to claim a synthesis is complete.