In this paper I aim at sketching out in bare outline a new model/framework of language processing with its implications for natural language processing. Research in theoretical linguistics, computational linguistics and mathematical linguistics has delineated the ways natural language can be represented and modeled. Studies in cognitive (neuro) science, on the other hand, have shown how language processing is implemented in human cognitive machinery. Here an attempt will be made to integrate all these findings into a mathematical model of language processing which will point to some potential constraints on what natural language processing can achieve or do and what it possibly cannot. © 2009 by Prakash Mondal.