Dear Robert,
I am sorry for hurting feelings. There is no room for improvement. Neither hyperreal nor surreal numbers and the like can correct the fact that all alephs in excess of one did not and will not find a reasonable application. Ergo, the holy grail of mathematics has proven useless. Already Fraenkel admitted almost one hundred years ago that Cantor's definition of a set is naive and untenable.
Buridan's ass alias Buridan's donkey illustrates a calamity: It starves between two full mangers of food because there is no possibility to prefer either the left (negative) or the right (positive) one. I am claiming to be perhaps the first one who is offering a reasonable alternative on cost of the holy grail.
What about the holy grail of physics, I asked Thomas Ray for help at his thread and revealed there some first results of my reasoning. I will continue to clarify what is wrong on my 833 thread because what I consider the decisive insight is related to the ignored distinction between past and future.
Incidentally, do you expect LHC to find the Higgs?
Regards,
Eckard