1. The numberline is a construction but not of numbers, it is a construction of partitioning. I do not think anyone know what the negative part of number line is supposed to express because the numberline is a faulthy analogy for describing numbers, it may well be that the numberline is just the result of someone not so bright trying to apply the concept of unit partitioning upon numbers. 2. Nyan do not have any 0 so i have no idea to what you try say? 3. I can see you have some how devided a set into positive and negative i have no idea what you are onto. There is no natural negative numbers.
A NyaN number is very simple, it is an unary collection expressed in a base. Do you ask me what a negative number is? It is the depletion/ extinction of an operand. If we have the set/collection of three 3 and want remove 1 we reduce the set by removing one, but i somehow guess this is not what you are on about. So what is really you try to ask or express? I really try to understand what you try to convey.