Analyzing the Internet's BGP Routing Table

The Internet continues along a path of seeming inexorable growth, at a rate which has, at a minimum, doubled in size each year. How big it needs to be to meet future demands remains an area of somewhat vague speculation. Of more direct interest in the question of whether the basic elements of the Internet can be extended to meet such levels of future demand, whatever they may be. To rephrase this question, are there inherent limitations in the technology of the Internet, or its architecture of deployment that may impact on the continued growth of the Internet to meet ever expanding levels of demand?