Sanskrit as a Stable `Eigen'-Language Well-Suited for Storage and Transmission

In this paper, the authors examine the possibility that Sanskrit is an eigen-language of the transformation which takes in sentences in a given language, and generates other sentences by permuting the components of the input sentence. Under this setting, if we are given one more, or can construct one more, eigen-language of this transformation, then we should be able to generate an entire eigenspace of languages like Sanskrit. Further, given the central role of eigen-analysis in linear algebra and the theorems related to it, it is likely that this paper suggests the way for a deep mathematical study of Sanskrit and related language groups.