Doron seems a typical mathematical crank.
1). He's more or less completely ignorant of the fields he thinks his "work" is "contributing" to.
2). He defines the most basic terms in his "theory" (such as "enthropy") in idiosyncratic, home-made, cumbubrsome way that he himself sometimes misuses, and nobody else ever uses (this follows, of course, from his ignorance).
3). His "work" is mostly simply nonsense.
4). The part that isn't nonsense is a bunch of trivial mathematical claims, made to look "deep" (e.g., difficult to undestand) simply because he uses such non-standard and cumbursome definitions it takes forever to figure out what he's going on about. Once you figure it out, however, you quickly see it wasn't worth the effort.
5). Any criticism, no matter how much to the point, is met with personal attacks on the critic.
6). Suffers from delusions of grandeur, and shows signs of paranoia.
7). Demands other prove him wrong, instead of proving himself right.
...and so on.
I'm putting him on "ignore", as there's obviously no point to any discussion. The man will be convinced of his own greatness and amazing mathematical genius to the day he dies, and none of us can do a damn thing about it.
One word, though, as someone trained in both mathematics and philosopy, to those of you struggling to undestand him: don't bother. It isn't worth the effort. There is no "there" there.
