Somebody explain to me how infinite economic growth is not a pyramid scheme

How does infinite economy growth even work, especially when the economic growth is supposed to be compound in nature.

In a compound growth system every next percent would be harder to reach than the previous percent of growth, as the total quantities to gain would be higher each time.

This is made worse in systems where population growth is slower than GDP growth rate, such that every next 1% of GDP growth has to be split between more people having to life heavier loads each year.

Infinite growth is just not possible from a rational point of view, yet we treat the economic systems like it is.

Even the US has had its GDP growth declining decade on decade over time.

It appears to be a logical conclusion that dumber nation states with lower IQs would hit the ceiling on how much they can grow their economy per capita far faster than nation states with higher intelligence, size, resource, access, or innovation.

Japan for example, is a nation state running purely on innovation, with its economic growth permanently stuck in a state of stagnation due to population loss making it even harder to acquire that next 1% of growth.

Only the US appears to be keeping up for now as megacorporations are able to optimize resources far better than nation states ( They don't have homeless corporate members to take care of, nor do they have to pay for a military to protect its borders ).

Megacorporations in this regard appear to be the logical conclusion to ensure continual economic growth as the compound economic growth challenges stack up year on year.

Yet, Japan has the second highest number of Multi National Corporations in the world, and it has not been enough to ensure Japan's economic prosperity.

So even in that regard there are limits to what megacorporations can do. Which means that logically multinational corporations GDP growth would also slow down over time as year on year growth becomes ever more difficult.

The constant development of new industries appears to be the one way out of this economic decline, but even so every decade the number of new industries that would have to evolve to keep the economy growing stacks up over time.

Today the US has 6 trillion dollar companies and it is barely enough to keep things going well.

Only the insane rate of US innovation is keeping it going for now.

Human intelligence is linear however, which would suggest that a point comes where the only way to keep growing would be to increase the use of AI and robotics in the economy, which are the two industries well positioned to grow exponentially and maintain the steady economic growth rate well into the future.

In the end we are hit with the question, can a system be infinitely optimized, and on the face of it, the answer feels like no, it cannot.

In the end it is reasonable to assume that nation states that do not have the resourcefulness of the US are going to stagnate far before the US. As was the case for Japan, and will be the case for South Korea.

Any system that wishes to replace the US will have to be more efficient and better optimized than the US, there is no way around that.

MNCs are the latest state of optimizing economic systems for further growth once they reach their natural limits without MNCs.

Thus, any nation state that wishes to replace the US will need to have more MNCs than the US.

China cannot replace the US as its economic systems are not as well optimized as those of the US.

Similarly to how South Korean hypercapitalism beats Japanese capitalism, US MNC oriented capitalism beats Chinese middle path to wealth systems.

Conclusion:

The future of humanity and global economic boom will stop wherever the US economic growth stops. The system will stagnate at that peak for a century or two at the least. China nor India are well positioned to replace the US at the next biggest economy in the world leading the global world order.

The good news is that the US could eek out two to three trillion USD out of the AI industry. Another two to three trillion from the space industry, and another two to three trillion from the space industry.

After that? There is no new mineral node to tap into. There is a limit on the number of new trillion dollar industries that could emerge this century.

The US could spend more money on FDIs across the world which would further set it up to keep growing for another two decades but no longer, as the US is tapping out all the economies across the world already to feed itself, with India, Mexico, Indonesia, and Vietnam as the newest economies to sustain itself, and no other replacements available of a similar size in the future.

Conclusion:

The US has 20-40 years of economic growth remaining ahead of it after which it too would fall into developed economy tier of GDP growth. This would herald the end of the age of global economic prosperity and the stagnation of half the planet as they have no capability to grow any further. Expansionism would become the final method of global growth once again, with a techno feudal future ahead of us. Everybody has a good quality of life, but nobody can move up the ladder naturally.