Will our grandchildren see over 9000 strength play?

[S.Taylor]

9000 is a popular magic number so I tried to estimate how long it will take to have a computer playing at that strength.

400 ELO difference means higher rated player always beats lower rated, 9000 strength requires 20 such steps.

Computing power nearly doubles every two years and double performance gives around 70 ELO. If we assume that the performance increase will slow down we can assume 20 ELO per year due to better hardware.

Improvements in software give up to 100 ELO per year, depending on engine. Let's take rather optimistic guess and say we get 50 ELO per year due to better software.

Currently best engine on best software plays at about 3400 strength. It means that in (9000-3400)/70=80 years. It means our grandchildren may see chess play rated over 9000.

Where do you get a meaningless number like 9000? HAL 9000? The way you are going about it is wrong.
Perfect chess has a limit. It would be well under a 4000 elo. Machines don't play at 3400 today that's not a scientific measurement.
Perfect chess might be around 3400 elo hypothetically. Programs are beginning to max out on tactics that would exceed 3000 elo but they're weaker at position and incapable of true plans. Perfect chess may be impossible but near perfect chess if work continues might be seen late this century.

Yes, I think that the greatest chess that will ever arrive on the scene, ever, will not exceed 4000 elo. This would probably be perfect chess, or atleast the most that humans can ever deal with with any machine.

I don't mean that this might not beat that 95% and that beat that 95% many times over, until that might make it possible to measure over 4000 elo. I mean, with respectable and universal honesty in measurement.

[S.Taylor]

Hardware that is a million times faster, is an interesting speculation.
Maybe it should be prunned differently to include more unimaginable variations.

If you take the fastest PC of today, and give it 10 hours per move, this would obviously be great chess with the top program.

But if you get a computer which is only x36,000 faster, you can get those same moves with one second per move, instead of 10 hours per move.