1. A data merging method comprising the steps of: (a) using a computer processor, receiving data; (b) using the computer processor, creating two or more rearrangements of the received data; (c) using the computer processor, applying admissible geometrization to each of the two or more rearrangements of the received data to produce two or more spaces of dilation vectors; (d) merging the two or more spaces of dilation vectors to form a single space of merged dilation vectors; (e) merging components of the merged dilation vectors; and (f) interpreting the merged components of the merged dilation vectors as merged data.