My other reply addressed some of these points.

Basically all that exists is just space-time patterns. You can certainly debate the relative importance of the emergence of electrons vs the emergence of rupestral paintings, but that is missing the larger point. The patterns are all that is real, and there is no fundamental difference between electrons, civilizations, or paintings in that sense.

There is clearly a universal trend. It is not technological, it is universal. Technology is just another set of patterns.

It's slightly more difficult to asses the change in types and complexity of patterns in general vs just estimating the numerical change in one particular type of pattern, such as iron atoms. Nonetheless the change in overall pattern complexity over time is undeniable, universal, and follows a trend.

I didn't mean to imply that a Singularity implies an actual infinity, but rather a region for which we do not yet have complete models. My central point is that a wealth of data simply show that we appear to be heading towards something like a localized singularity - a maximally small, fast, compression of local complexity. The words "appear" and "heading towards" are key.

Surely it doesn't always follow the equations you propose; if humans extinguished themselves with nuclear weapons or nanotechnology tomorrow, awesomeness would go down to almost zero.

Nothing about that trend is inevitable, and as I mentioned several times the acceleration trend is localized rather than global, in most regions the trend doesn't exist or peters out. Your criticism that it "doesnt always follow the equations you propose" (presumably by doesn't you mean across all of space), is not a criticism of any point I actually made - I completely agree. I should have made it more clear, but that extremely simple type of equation would only even be roughly valid for small localized spatial regions. Generalizing it across the whole universe would require adding some spatial variation so that most regions feature no growth trend. And for all we know the trend on earth will peter out at some point in the future long before hitting some end maximal singularity in complexity.

By your own logic, awesomeness will therefore become negative after the singularity.

Rather, the model breaks down at the singularity, and something else happens.

Awesomeness is a highly complex combination of a ridiculous number of variables. It is an abstraction.

Of course. But that is how we model and make predictions. The idea that there is no overall change in complexity over time is just another model, and it clearly fails all postdictions and makes nonsensical short-term predictions. The geometric model makes accurate postdictions and makes powerful predictions that fit predictions made from smaller scale and more specific models (such as the predictions we can make from development of AGI).