eng Science and Education Publishing Applied Mathematics and Physics 2014-06-09 2 3 82 93 10.12691/amp-2-3-4 AMP2014234 article Lukasz Andrzej Glinka laglinka@gmail.com; lukaszglinka@wp.eu 1 B.M. Birla Science Centre, Hyderabad, India In this paper the model of quantum gravity for the higher dimensional Lorentzian space-times, in the sense of the analogy with the Arnowitt-Deser-Misner decomposition well-known from General Relativity, is presented. The model is constructed through making use of the quantum geometrodynamics supplemented by the global onedimensionality conjecture, and considers the objective wave functionals. The framework of quantum field theory is applied in order to establish the phenomenological efficiency in accordance with high energy physics. The empirical deductions on the spatial dimensionality are presented as the relationship between the model and gauge theories, especially string theory. http://pubs.sciepub.com/amp/2/3/4/amp-2-3-4.pdf quantum gravity quantum geometrodynamics global one-dimensionality conjecture objective functions spatial dimension string theory Arnowitt-Deser-Misner decomposition