The EPR argued that quantum mechanics is an incomplete description of reality. So far, the Heisenberg uncertainty principle and its extensions are all still inequalities form which hold the superior approximate estimations, a precise estimation and environmental variables have never appeared in any formula... With the indeterminism of observable quantities constrained by the uncertainty principle. The question arises whether there might be some deeper reality hidden beneath quantum mechanics, to be described by a more fundamental theory that can always predict the outcome of each measurement with certainty, this paper by using the QCPB attempts to answer this question. As a result of the QCPB theory, we geometrically propose an equality called quantum geomertainty relation (QGR) to modify the uncertainty relation based on the fundamental theory QCPB to positively give a complete description of reality that predicts the outcome of each measurement with certainty, meanwhile, the uncertainty relation is just a derivation from this quantum geometric certainty equality. It deals with the measurement in quantum equality for different manifolds equipped with various mathematical or physical structure. Accordingly, the environment joins the physical process, by taking environment variable as a geometric structure function in the QCPB into consideration, it has naturally solved the environment problem for the measurements. We demonstrate that entanglement term exists between the observable and the environment. Actually, the QCPB nicely explains how the environment has an effect on the measurement which causes the unavoidable influences. Conversely, we state that quantum mechanics is incomplete assuredly. Doubtlessly, the QCPB is surely a new way for such complete description of reality. (read more)