Hello Avtar,
Thanks for reading my essay and sharing your opinion about it.
My essay does indeed not argue in favor of an equal abundance of matter and antimatter: it purely deals with gravitational repulsion - the nature of the interaction between matter and antimatter does not depend on their relative abundance. It is not true, however, that the dark energy problem has necessarily to be solved by an antigravity mechanism that requires equal amounts of matter and antimatter.
The observed acceleration of the universe gives the idea that there is something that counters the effect of gravity, but that does not necessarily mean that this something is an antigravitational force at cosmic scale. Simply put, the approach that I take is that an aggregration of individual processes, which take place at Planck scale, leads to the formation of space: that is then the reason that the universe expands. So objects do not move away from each other because of some repulsive force, they merely appear to move away from each other because there is space formed inbetween them.
I have looked at your paper. To start with, I have a question about the main equation of your model. How do you get the value of the integral in formula (5)? The integral in (5) is, namely, syntactically incorrect: it lacks a variable of integration. If I assume that the value of integration is dr (and from the context that is likely), then the value of the integral becomes Gmm*(ln R - ln0). But this doesn't exist, so it cannot be the stated value 3Gm2/5R. But this is an important equation, because you use that value 3Gm2/5R in your master equation (6), on which your entire paper is based. So how did you get the value 3Gm2/5R?? Furthermore, you make some strong claims; since you asked for my comments, I must say that I think that your model is mathematically too simple to back up some of those claims. Your model consists of a few equations in real calculus; yet you claim on page 9 that it gives a mechanistic description of the collapse of the wave function. This raises imediately a question: how can that be when the wave function is not a term of your theory (your theory only uses numbers, while the wave function is an element of a complex Hilbert space)? As I see it, you have an idea for a simple model for the developement of the universe as a whole, and perhaps you should focus you attention at that, that is, at showing that it gives good predictions for atronomical data.
Regards, Marcoen