This is admittedly an interesting topic. A few thoughts briefly (earnings season rush… but let’s not let work get in the way of the hobby too much.
).
“Why should it come?” I immediately revealed my attitude towards economic growth: fundamentally, it is good that it exists! It makes financing growing social expenditures much easier. An economy that does not grow easily becomes a zero-sum game: one person’s gain is always another’s loss. When the economy grows, a larger group has the opportunity to benefit from the growth.
As often stated, the economy grows when more hands work more efficiently. If we take away the second element from this growth recipe, i.e., the growth of the labor force, growth remains solely on the shoulders of productivity. As has been pointed out in many contexts, productivity growth has been subdued for one reason or another over the last decades globally and especially in Finland.
Effects on the stock market? Diverse, for sure. If economic growth ends (not the “end of history” as Fukuyama joked in the 90s, but the end of economic growth in the 2000s
), company earnings growth will presumably end. This won’t happen everywhere at the same time; instead, growth differences in global markets will be visible for decades: on average, the market will grow in India, Nigeria, and the United States, for example, while shrinking in Europe, China… almost everywhere eventually.
Growth is a component of value. Thus, company values could be expected to fall as the share of growth in the present value fades. In theory, a company that does not grow deserves a so-called “bulk multiple,” which is simply 1 / investor’s required return. If it is 10%, a P/E of 10x is the new normal.
But what is the required return? In zero growth, one might think it would be low. On the other hand, if a shrinking labor force drives wages and inflation up, it could even be high. However, interest rates cannot be higher than economic growth in the long run, at least in real terms… Thus, the real interest rate should be expected to be negative, regardless of the inflation picture.
I cannot predict. But I can prepare. So, I wouldn’t agree to pay too much for companies on the assumption that the required return collapses as it did for various reasons in the late 2010s and early 2020s. Labor-intensive sectors that already have a talent shortage? Yuck. 
We cannot predict technological development, and that’s also why all forecasting eventually misses the mark quite a bit. It would be safe to extrapolate current development, meaning productivity growth continues to crawl. What if the global economy accelerates as the streets swarm with Tesla’s Optimus robots, Amazon’s airship drone carriers, and humanity reproduces artificially on Mars? The further ahead you look, the more scenarios (imaginable) are possible.