What will happen if someone wants to move an amount, and pay 1 sat as a fee, given that 1 sat is valuable?
I assume almost everyone (including miners) will use LN by then, not on-chain transactions (they will be too expensive).
The history of money has taught us that a currency always starts in a pure form and then abstractions get added on top of that.
Whether it's fractional reserve money, electronic fiat money or LN.
LN already adds 3 more decimals, so...
If BTC becomes so popular, 7 txs per second means it will be very rare in a world of billions of people to do on-chain transactions on a frequent basis.
I think BTC was designed for the average connection of 2009, which is a regular ADSL @ 1 Mbps (upload). By 2136 almost everyone will have FTTH, so block size could be increased with no repercussions.
There's even a parabolic hyperbitcoinization chart which shows that 1 BTC could even reach trillions of dollars each. So 1 sat could be worth 10k USD or even more.
By 2136 we may have colonized the galaxy if Elon's vision becomes a reality, which means that even gold could become abundant, let alone food/energy:
https://theprint.in/opinion/giant-asteroid-has-gold-worth-700-quintillion-but-it-wont-make-us-richer/260482/"the minerals contained in asteroid 16 Psyche are said to be worth $700 quintillion — enough to give everyone on the planet $93 billion"Gold hyperinflation is possible, but we will need better mining technology. BTC is capped at 21 million, but you can always introduce more subdivisions (on-chain or off-chain).