Eraser Lattices and Semantic Contents: An Exploration of the Semantic Contents in Order Relations between Erasers

A novel way to define Quantum like measurements for text is through transformations called Selective Erasers. When applied to text, an Eraser acts like a filter and preserves part of the information of the document (tokens surrounding a central term) and erases the rest. In this paper, we describe how inclusion relations between Erasers can be used to construct an Eraser Lattice for relevant content. It is posited that given a new piece of text, the application of elements of the Eraser Lattice, will result in the destruction or preservation of the content depending on the relevancy of the document. The paper provides the theoretical derivations required to perform such transformations, along with some example applications, before outlining directions and challenges of future work.