The problem with the concept of "the singularity" it is has a hidden assumption that computation has no relationship to energy. Which, once unmasked, is a pretty outlandish claim.

There is a popular illusion that somehow technological progress is a pure function of human ingenuity, and that the more efficient we can make technology the faster we can make even better technological improvement. But history of technology has always been the history of energy usage.

Prior to the emergence of homo-sapiens, "humans" learned to cook food by releasing energy stored in wood. Cooking food is often considered a prerequisite for the development of the massive, energy consuming, brain of homo-sapiens.

After that it took hundreds of thousands of years for Earth's climate to become stable enough to make agriculture feasible. We see almost no technological progress until we start harvesting enormous amounts of solar energy through farming. Not long after this we see the development of mathematics and writing since humans now had surplus energy and they could spend some of it on other things.

You can follow this pattern though the development and extraction of coal, oil etc. You can look at the advancement of technology in the last 100 years alongside our use of fossil fuels and expansion of energy capabilities with renewables (which historically only been used to supplement, not replace non-renewables).

But technological progress has always been a function of energy, and more specifically, going back to cooking food, computational/cognitive ability similarly demands increasingly high energy consumption.

All evidence seems to suggest that we increasingly need more energy for incrementally smaller return on computation.

So for something like the singularity to happen, we would also need incredible changes in available energy (there's also a more nuanced argument that you also need smooth energy gradients but that's more discussion than necessary). Computation is not going to rapidly expand without also requiring tremendously large increases in energy.

Further it's entirely reasonable that there is some practical limit to just how "smart" a thing can be based on the energy requirements to get there. That is, you can't reasonably harvest enough energy to create intelligence on the level we imagine (the same way there is a limit to how tall a mountain can be on earth due to gravity).

Like most mystical thinking, ignoring what we know about thermodynamics tends to be a fundamental axiom.