Topological Void Analysis A Mathematical Framework for Systematic Technical Innovation Discovery in Knowledge Spaces
arXiv:2607.00005v1 Announce Type: new Abstract: Identifying where to innovate in a dense technical domain – such as operating systems or hardware/software co-design – is fundamentally a search problem in a high-dimensional knowledge space. Existing approaches rely on keyword search, citation proximity, or human intuition, none of which formalise the notion of an unexplored region that is simultaneously relevant to a target goal and absent from prior art. We present Topological Void Analysis (TVA), a mathematical framework that defines […]