[math-fun] Ilya Chernykh's work

Can any of you who know more about the theory of distributions (and other generalizations of classical analysis) comment on the work of Ilya Chernykh? See http://extended.wikia.com/wiki/Extended_Wiki#Some_extended_numbers for instance. Chernykh is operating in a mode that is not in fashion these days (though we forgive such freewheeling manipulations of divergent expressions in the work of Euler and Ramanujan). I cannot assess how novel this work is, nor can I assess whether there's a consistent theory lurking beneath Chernykh's manipulations. Jim Propp